Answer:
(a) 13.795 m/s.
(b) -3140.28 N.
Explanation:
(a) Using newton's equation of motion,
v² = u² + 2gs.......................... Equation 1
Where v = final velocity, u = initial velocity, s = height of the tower, g = acceleration due to gravity.
Given: s = 9.7 m, u = 0 m/s ( jump from a height), g = 9.81 m/s².
Substitute into equation 1
v² = 0² + 2×9.81×9.7
v² = 190.314
v = √(190.314)
v = 13.795 m/s.
Hence the velocity of the driver when he hits the water = 13.795 m/s.
(b)
F = ma.................... Equation 2
Where F = force exerted on the diver, m = mass of the diver, a = acceleration of the diver below the water surface.
Also using
v² = u² + 2as ............ Equation 3
Note: At the point when the diver enters the water, u = 13.795 m/s, and at the point when the diver comes to a complete stop, v = 0 m/s
Given: s = 2.0 m, u = 13.795 m/s, v = 0 m/s
Substitute into equation 3
0² = 13.795²+2(2a)
0 = 190.30203 + 4a
-4a = 190.30203
a = 190.30203/-4
a = -47.58 m/s²
Also given: m = 66 kg,
Substitute into equation 3
F = (-47.58)(66)
F = -3140.28
Note: The Force is negative because it act against the motion of the diver.
Hence the net force exerted on the diver while in the water = -3140.28 N.
Will Mark As Brainliest Plz Help Unit 1 Physics B Test
1. Two charges of magnitude +q are separated by a distance d. Assuming there are no changes to anything else, but the charges are separated by 3 times their current distance, what will happen to the Coloumb force between them?
The new Coloumb force will be 1/9th the original
The new Coloumb force will be 1/3rd of the original
The new Coloumb force will be 3 times the original
The new Coloumb force will be 9 times the original
2. In the nucleus of an atom, two protons are separated by a distance of 10^-13 m. What is the Coloumb force between them? The charge of a proton is + 1.602 x 10^-19 C.
0.023 N
0.078 N
0.004 N
0.051 N
3. How many electrons must be added to an object to give it an overall net charge of -3.0 x 10^-7 C? The charge of an electron is -1.602 x 10^-19 C. 1.9 x 10^12 electrons
3.1 x 10^13 electrons
2.0 x 10^10 electrons
1.4 x 10^14 electrons
4. What is the net Coloumb force on the +1e charge? A charge of e is 1.602 x 10^-19 C.
3.91 x 10^-11 C to the right
1.62 x 10^-10 C to the right
2.02 x 10^-9 C to the left
4.97 x 10^-10 C to the left
5. A point p is located 56 cm to the right away from a point charge of 6.7 x 10^-10 C. What is the direction and magnitude of the electric field at point p?
19.21 N/C
23.7 N/C
11.5 N/C
13.8 N/C
6. A point q is located 151 cm directly above a charge of -5.5 x 10^-12 C. What is the direction and magnitude of the electric field at point q?
1.35 N/C, pointing down
3.84 N/C, pointing up
2.99 N/C, pointing up
2.17 N/C, pointing down
7. What is the net electric force at point x in the picture below?
0.29 N/C to the left
0.09 N/C to the left
0.37 N/C to the right
0.14 N/C to the right
8. A point charge of charge Q is located some distance d away from a location p. If nothing changes, but p is moved twice as far away, what will happen to the electric field at point p?
The electric field will be 1/2 of what it was
The electric field will be 1/3 of what it was
The electric field will be 1/4 of what it was
The electric field will be 1/5 of what it was
9. If an atom has 13 protons and is currently electrically neutral, what must happen to give the same atom a positive charge of +2e?
2 electrons must be removed
3 electrons must be added
1 proton must be removed
2 protons must be removed
What is polarization?
10. When the positive and negative charges in an object are separated
The creation of magnetic poles
The charging of an object by placing a charged object against a neutral one
The creation of charge by removing charges through friction
Answer: Did you get the answers? Im struggling homie.
Explanation:
Answer:
1. 1/9th the original
2. 0.023 N
3. 1.9 x 10^12 electrons
4. 1.62 x 10^-10 C to the right
5. 19.21 N/C
6. 2.17 N/C
7. Not 0.37 N/C
8. 1/4 of what it was
9. 2 electrons must be removed
10. Polarization: when the positive and negative charges in an object are separated
Explanation: Just took the test
The primary advantage of a bipolar scheme is that when all the voltages are added together after a long transmission, there should be a total voltage of ____.
Answer:
There should be a total voltage of zero (0)
Explanation:
In bipolar encoding (multilevel binary), there are three voltage levels, positive, negative, and zero. The voltage level for one data element is at zero, while the voltage level for the other element alternates between positive and negative.
However, the primary advantage of a bipolar scheme is that when all the voltages are added together after a long transmission, there should be a total voltage of zero.
What is the equations to prove the answer is A?
Explanation:
Let's say your mass is M, the ball's mass is m, and the ball's speed is v. Let's say your final speed is V.
Momentum is conserved. If you catch the ball, your speed is:
mv = (m + M)V
V = mv / (m + M)
If you deflect the ball, your speed is:
mv = MV + m(-v)
V = 2mv / M
To compare these, we need the common denominator.
If you catch the ball:
V = mMv / (M (m + M))
If you throw the ball:
V = 2m(m + M)v / (M (m + M))
Comparing the numerators, we can see M < 2(m + M), so catching the ball results in a lower speed.
The process of cutting lines of magnetic flux with a conductor, and generating voltage, is the basisi of alternator and generator operation.True / False.
Answer:
True
Explanation:
Alternators and generators are devices which convert mechanical energy into electrical energy, they consist of a magnet and a conductor wound about an iron called a core. When the conductor cuts across the lines of flux of the magnet an electromotive force is induced thereby generating current, either the conductor or the magnet has to be moving for this to happen and when the direction of motion changes the direction of electromotive force also changes.
Final answer:
True. The process of cutting lines of magnetic flux with a conductor and generating voltage is the basis of alternator and generator operation.
Explanation:
True.
The process of cutting lines of magnetic flux with a conductor and generating voltage is the basis of alternator and generator operation. This is known as electromagnetic induction, which is the process of inducing an electromotive force (emf) or voltage with a change in magnetic flux. When a coil is rotated in a magnetic field, it produces an alternating current emf, which is the basic construction of a generator.
A multiparous client presents to the labor and delivery area in active labor. The initial vaginal examination reveals that the cervix is dilated 4 cm and 100% effaced. Two hours later the client experiences rectal pressure, followed by delivery 5 minutes later. How is this delivery best documented
Answer:
correct answer is Precipitous vaginal delivery
Explanation:
given data
cervix dilated = 4 cm
effaced = 100%
delivery = 5 minutes later
solution
correct answer is Precipitous vaginal delivery because precipitous take delivery time less than = 3 hours
A multipara progress at rate 1.5 cm of dilation per hour
and it is progress for 10 cm for the deliver and birth averages approx 20 minute
so here correct answer is Precipitous vaginal delivery
| The electric field 5.0 cm from a very long charged wire is (2000 N/C, toward the wire). What is the charge (in nC) on a 1.0-cm-long segment of the wire?
Answer:
The charge is 0.056 nC.
Explanation:
Given that,
Electric field = 2000 N/C
Distance = 5.0 cm
We need to calculate the charge density
Using formula of charge density
[tex]E=\dfrac{\lambda}{2\pi\times\epsilon_{0}r}[/tex]
[tex]\lambda=2\pi\times\epsilon_{0}\times r\times E[/tex]
Put the value into the formula
[tex]\lambda=2\pi\times8.85\times10^{-12}\times5.0\times10^{-2}\times2000[/tex]
[tex]\lambda=5.56\times10^{-9}\ C/m[/tex]
We need to calculate the charge in 1.0 cm
Using formula of charge
[tex]Charge = \lambda\times\text{length of segment}[/tex]
[tex]Charge =5.56\times10^{-9}\times1.0\times10^{-2}[/tex]
[tex]Charge=0.056\times10^{-9}\ C[/tex]
[tex]Charge=0.056\ nC[/tex]
Hence, The charge is 0.056 nC.
The charge on a 1.0-cm-long segment of the wire is 2000 nanocoulombs (nC).
Explanation:The charge on a 1.0-cm-long segment of the wire can be determined using the formula:
Electric field strength = force per unit charge
Since we know the electric field strength and the length of the wire segment, we can rearrange the formula to solve for the charge:
Charge = Electric field strength x Length of wire segment
Plugging in the given values, the charge on the 1.0-cm-long segment of the wire is 2000 N/C x 1.0 cm = 2000 nC.
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If the 140 g ball is moving horizontally at 21 m/s , and the catch is made when the ballplayer is at the highest point of his leap, what is his speed immediately after stopping the ball?
Answer:
Review the task, there should indicate the mass of the player
Explanation:
The speed of the player immediately after stopping the ball is equal to 0.0396 m/s.
What is law of conservation of linear momentum?The law of conservation of linear momentum can be described as the sum of the momentum before and after the collision must be equal.
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
Where m₁ and m₂ is the mass of the objects, u₁ & u₂ are their initial speed while v₁ & v₂ is the final speed of the collided objects.
The linear momentum can be described as the product of the mass of the object times the velocity of that object. Conservation of momentum can be described as a property held by an object.
Given the initial speed of the ball is u = 21 m/s
The mass of the baseball player, M = 74 Kg
The mass of the given ball, m = 0.140 Kg
From the law of conservation of momentum, determine the speed of the player (V):
m u + mv = (m + M) V
0.140 Kg × 21 + 0 = (0.140 + 74) × V
V = 0.0396 m/s
Therefore, the speed of the player is equal to 0.0396 m/s.
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Your question is incomplete, most probably the complete question was,
A 74 Kg baseball player jumps straight up to catch a head-hit ball. If the 140 g ball is moving horizontally at 21 m/s, and the catch is made when the ballplayer is at the highest point of his leap, what is his speed immediately after stopping the ball?
The Chartered Institute of Management Accountants defines activity-based cost management as follows: "An approach to the costing and monitoring of activities, which involves tracing resource consumption and costing final outputs. Resources are assigned to activities, and activities to cost objects based on consumption estimates."
Answer:
ABC is the activity based accounting. It is the costing done for each separate activity which maybe unit level, batch level, product sustaining or facility sustaining.
Explanation:
The basic difference between ABC and traditional costing systems can be explained with the help of the following diagram.
Traditional Costing System
Overhead Cost Accounts (For each individual expense e.g. tax)
First Stage Allocation
Cost Centers ( normally Departments)Cost Centers ( normally Departments)N. Cost Centers ( normally Departments)
Second Stage Allocation ( Direct Labor Or Machine Hours)
Cost Objects ( products, services and customers)
ACTIVITY BASED COSTING SYSTEMS
Overhead Cost Accounts (For each individual expense e.g. tax)
First Stage Allocation ( resource cost drivers)
Activity Cost Centers Activity Cost CentersN. Activity Cost Centers
Second Stage Allocation ( activity cost drivers)
Cost Objects ( products, services and customers) (Direct Costs)
Four steps are involved in the design of ABC systems.
identifying the major activities that take place in an organizationassigning cost to cost pools / cost centers for each activitydetermining the cost for each major activityassigning the cost of activities to products according to the product's demand for activities.The first two steps relate to the first stage and final two steps to the second stage of the two - stage allocation process shown above.
How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 3.33××10−21−21 NN?
Answer:
There are 756.25 electrons present on each sphere.
Explanation:
Given that,
The force of repression between electrons, [tex]F=3.33\times 10^{-21}\ N[/tex]
Let the distance between charges, d = 0.2 m
The electric force of repulsion between the electrons is given by :
[tex]F=k\dfrac{q^2}{r^2}[/tex]
[tex]q=\sqrt{\dfrac{Fr^2}{k}}[/tex]
[tex]q=\sqrt{\dfrac{3.33\times 10^{-21}\times (0.2)^2}{9\times 10^9}}[/tex]
[tex]q=1.21\times 10^{-16}\ C[/tex]
Let n are the number of excess electrons present on each sphere. It can be calculated using quantization of charges. It is given by :
q = ne
[tex]n=\dfrac{q}{e}[/tex]
[tex]n=\dfrac{1.21\times 10^{-16}}{1.6\times 10^{-19}}[/tex]
n = 756.25 electrons
So, there are 756.25 electrons present on each sphere. Hence, this is the required solution.
Aaden has decided to break up with his significant other. He has gone over what he is going to say, but can not decide where to have the conversation. After some serious thought, Aaden decided to have this discussion in his home because it was quiet and they would be able to have a better discussion face-to-face. Which element of the Communication Process Model is this?
Answer:
The correct answer is: b. Channel
Explanation:
The Communication Process Model (CPM) is a model that describes the steps through which effective exchange of information takes place from the sender of a message to the receiver(s) of the message. (Refer to attached image)
The CPM includes the following steps:
1. Noise- reducing physical/ physiological distractions that can impede clear communication.
2. Communicator- the person who initiates the communication
3. Message- the information exchanged between the sender and receiver of the message
4. Feedback- How the information from the sender is received by the recipient of the communication
5. Channel- The medium by which the information is delivered from the sender to the receiver.
In this instance, when Aaden decided to have a discussion with his significant other in his home using face-to-face communication, he is deciding on the channel or medium through which the communication will this place. By choosing face-to-face communication at his home, Aaden has determined what he believes is the most appropriate context for the conversation with his significant other, given the sensitive nature of the topic. In this way, Aaden has selected a channel of communication.
A gas enters a compressor that provides a pressure ratio (exit pressure to inlet pressure) equal to 8. If a gage indicates the gas pressure at the inlet is 5.5 psig, what is the absolute pressure, in psia, of the gas at the exit?
Answer:
[tex]P_2=160\ psia[/tex]
Explanation:
Given that
Pressure ratio ,r= 8
Gauge pressure at inlet = 5.5 psig
Lets take atmospheric pressure = 14.5 lbf/in²
The absolute presure at inlet
P₁ =5.5 + 14.5 psia
P₁= 20 psia
Lets take absolute pressure at the exit =P₂
[tex]r=\dfrac{P_2}{P_1}[/tex]
[tex]P_2=8\times 20\ psia[/tex]
[tex]P_2=160\ psia[/tex]
Therefore the absolute pressure at the exit will be 160 psia.
the law of conversation of energy and describe the energy transformations that occur as you coast down a long hill on a bicycle and then apply the brakes to make the bike stop at the bottom.
Answer:
Potential energy is transformed into kinetic energy
friction work decreases kinetic energy
Explanation:
The law of conservation of the mechanical energy is the sum of kinetic energy plus the different forms of potential energy, this energy is constant throughout the trajectory if the dissipative force (friction) is zero.
Let us apply this to our case, in the upper part of the trajectory almost all the mechanical energy is potential, and a very small part is kinetic, the bicycle goes very slowly, as it descends without pedaling the speed increases so that the kinetic energy it increases and the height decreases therefore the potential energy decreases, but the sum of the two energies remains constant.
Potential energy is transformed into kinetic energy
When the brakes are applied, a dissipative force enters the system that causes part of the energy to be transformed into heat and part into work of this dissipative force against the wheel, two resulting in a net decrease in mechanical energy and therefore a decrease in the speed of the bicycle, the value of this decrease is given by
W = DK
In science, a broad idea that has been repeatedly verified so as to give scientists great confidence that it represents reality is called:____________
In science, a broad idea that has been repeatedly verified so as to give scientists great confidence that it represents reality is called "a theory".
Explanation:
In science, the interpretation of a feature of the organic world that can be tested in repeat manner and analysed by applying agreed tests validation methods, calculation and observation in according to the scientific method, such process is called as a theory in science.
The difference lie between a theory and a hypothesis. Because hypothesis is an "educated guess". Overall it is either a proposed interpretation of an observed phenomenon, or a logical inference of a possible causal association between several phenomena.
What type of hybridization is exhibited by the nitrogen atom in the following substance pairs are present on the nitrogen?: and how many lone
a. sp hybridization and 2 lone pairs
b. sp hybridization and 1 lone pair
c. sp hybridization and 2 lone pairs
d. sp hybridization and I lone pair
e. sp hybridization and 1 lone pair
f. sp hybridization and 2 lone pair
[tex]sp^3[/tex] hybridization and 1 lone pair is exhibited by the nitrogen atom in the following substance pairs are present on the nitrogen.
b. [tex]sp^3[/tex] hybridization and 1 lone pair
Explanation:
The Nitrogen particle is [tex]sp^3[/tex] hybridized with one crossover orbital involved by the solitary pair. Likewise, nitrogen is [tex]sp^3[/tex] hybridized which implies that it has four [tex]sp^3[/tex] half and half orbitals. The sub-atomic structure of water is predictable with a tetrahedral game plan of two solitary sets and two holding sets of electrons. Two of the [tex]sp^3[/tex] hybridized orbitals cover with s orbitals from hydrogens to frame the two N-H sigma bonds.
Nitrogen utilizes [tex]sp^3[/tex] orbitals to accomplish this geometry. Three of the mixtures are utilized to frame bonds to hydrogen and the fourth contains the solitary pair. Whereas lone pairs are the pairs of electron on atoms that don't take an interest in the holding bonding of two atoms. To distinguish solitary matches in a particle, make sense of the number of valence electrons of the molecule and subtract the number of electrons that have partaken in the holding.
Hybridization of nitrogen depends on its bonding context; sp hybridization leads to a linear geometry, whereas sp³ hybridization results in a trigonal pyramidal geometry with one lone pair, as seen in ammonia.
Explanation:The question is asking about the hybridization of nitrogen in various substances. Hybridization describes the mixing of atomic orbitals to form new hybrid orbitals that can accommodate bonding and lone pairs in molecules. For a nitrogen atom with sp hybridization, the molecule usually has a linear geometry, as in the case of hydrogen cyanide (HCN). Here, nitrogen has one sp hybrid orbital with a lone pair and one with a sigma bond, while the two p orbitals form pi bonds, resulting in a triple bond.
In cases where nitrogen is sp³ hybridized, the nitrogen atom can form three sigma bonds with its sp³ hybrid orbitals and retain one lone pair, giving a trigonal pyramidal geometry. An example of this is in ammonia (NH₃), where the nitrogen atom is bonded to three hydrogen atoms and has one lone pair.
The momentum of an object is determined to be 7.2 ×× 10-3 kg⋅m/skg⋅m/s. Express this quantity as provided or use any equivalent unit. (Note: 1 kgkg = 1000 gg).
Answer:
Momentum, p = 720 g-cm/s
Explanation:
The momentum of an object is determined to be,
[tex]p=7.2\times 10^{-3}\ kg-m/s[/tex]
We need to express this quantity in any equivalent units. We know that the conversions are as follows :
1 kg = 1000 g
and 1 m = 100 cm
[tex]p=7.2\times 10^{-3}\ kg-m/s=7.2\times 10^{-3}\times (1000\ g)\times (100\ cm)/s[/tex]
p = 720 g-cm/s
So, the momentum of an object in any equivalent unit is 720 g-cm/s. Hence, this is the required solution.
The momentum of the object is 7.2 × 10^-3 kg·m/s, which is equivalent to 7.2 g·m/s when the mass is converted from kilograms to grams.
Explanation:The momentum of an object is defined as the product of its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction. The magnitude of the given object's momentum is 7.2 × 10-3 kg·m/s. To express this quantity in equivalent units, we can convert the mass from kilograms to grams by noting that 1 kg equals 1000 grams. Thus, the momentum in grams·m/s can be calculated as (7.2 × 10-3 kg) × (1000 g/kg) = 7.2 g·m/s.
Tarzan is running at his top speed of 8.0 m/s and grabs a vine hanging vertically from a tall tree in the jungle. How high can he swing upward?
Answer:
3.26 m
Explanation:
change in kinetic energy = change in potential energy
[tex]\frac{v^{2}}{2} = gh[/tex]
[tex]h=\frac{v^{2}}{2g}[/tex]
h = (8^2)/ 2*9.81 = 3.26 m
A car travels in a straight line covering a total distance of 90.0 miles in 60.0 minutes. Which one of the following statements concerning this situation is necessarily true?
Answer:
E) The average velocity of the car is 90.0 miles per hour in the direction of motion.
Explanation:
From the available options below:
A) The velocity of the car is constant.
B) The acceleration of the car must be non-zero.
C) The first 45 miles must have been covered in 30.0 minutes.
D) The speed of the car must be 90.0 miles per hour throughout the entire trip.
E) The average velocity of the car is 90.0 miles per hour in the direction of motion.
The average velocity of an object is the total distance covered by the object while moving in a particular direction per total time taken to cover the distance.
From the information given, during the course of the journey, the velocity may vary and the acceleration may be zero at some point if the driver of the car decides to stop over.
However, the average velocity for the journey must be 90.0 miles per hour in the direction of the motion in order for the car to be able to cover 90 miles in 60 minutes.
The correct option is E.
The term "pericardiocentesis" means:
Select one:
A. narrowing of the arteries supplying the heart.
B. surgical repair of the sac around the heart.
C. the removal of fluid from around the heart.
D. a surgical opening made in the heart.
Answer:
Option (C)
Explanation:
'Pericardiocentesis' is a biological term that is usually defined as a process by which a fluid is removed from the sac that is oriented around the heart. This accumulation of fluid in the heart is commonly known as pericardial effusion. This process is mainly carried out with the help of a needle and a catheter, where the needle is injected into the tissues that are near to the heart.
This fluid that is eliminated from the body is further sent to the laboratories in order to carry out the medical test to determine if a person is affected by infection or cancer.
Thus, the correct answer is option (C).
"The correct answer is C. the removal of fluid from around the heart.
Pericardiocentesis is a procedure where a needle is used to remove fluid from the pericardium, which is the sac-like covering around the heart. This procedure is typically performed when there is an accumulation of fluid in the pericardium (pericardial effusion) that may be causing symptoms such as chest pain or difficulty breathing, or when there is a suspicion of infection or cancer in the pericardial space.
Let's analyze each option to understand why option C is the correct choice:
A. Narrowing of the arteries supplying the heart is referred to as atherosclerosis or coronary artery disease, not pericardiocentesis.
B. Surgical repair of the sac around the heart is known as pericardiectomy or pericardial window, which involves creating an opening in the pericardium to drain fluid or to relieve pressure. This is different from pericardiocentesis, which is a less invasive procedure.
C. The removal of fluid from around the heart is the definition of pericardiocentesis. It is a minimally invasive procedure that can be both diagnostic, by analyzing the fluid removed, and therapeutic, by relieving the pressure on the heart.
D. A surgical opening made in the heart refers to a procedure such as a thoracotomy or sternotomy, which involves opening the chest cavity to access the heart. This is not related to the removal of fluid from the pericardial sac.
In the morning, when the temperature is 286 K , a bicyclist finds that the gauge pressure in his tires is 404 kPa . That afternoon she finds that the pressure in the tires has increased to 422 kPa .
Part A What is the afternoon temperature?
Final answer:
Using the gas law principle and given pressure values, the afternoon temperature of the bicyclist's tires, after an increase in pressure to 422 kPa from 404 kPa, is calculated to be approximately 299 K.
Explanation:
To find the afternoon temperature after the tire pressure increases, we use the gas law principle that describes the relationship between pressure and temperature when the volume and amount of the gas remain constant. Assuming ideal behavior, the relevant equation is the proportionality between pressure and temperature given as P1/T1 = P2/T2.
In this case, the initial pressure (P1) is 404 kPa, the initial temperature (T1) is 286 K, and the final pressure (P2) is 422 kPa. To find the final temperature (T2), we rearrange the formula to T2 = (P2 x T1) / P1.
Plugging in the values:
T2 = (422 kPa x 286 K) / 404 kPa
T2 = 1207962 K kPa / 404 kPa
T2 ≈ 299 K
Therefore, the afternoon temperature when the pressure in the tires has increased to 422 kPa is approximately 299 K.
What is the (magnitude of the) centripetal acceleration (as a multiple of g=9.8~\mathrm{m/s^2}g=9.8 m/s 2 ) towards the Earth's axis of a person standing on the surface of the Earth at a latitude of 71.9^{\circ}71.9 ∘ ?
The centripetal acceleration of someone at a latitude of 71.9 degrees on Earth's surface is calculated based on the velocity due to Earth's rotation, adjusted by the cosine of the latitude angle, demonstrating how this acceleration compares to Earth's gravitational pull.
Explanation:The question asks about the centripetal acceleration of a person standing on Earth's surface at a specific latitude and how this compares to Earth's gravitational acceleration, g. To find the centripetal acceleration (ac) at a latitude of 71.9 degrees, we use the fact that at the equator, where the velocity due to Earth's rotation is maximal, ac is purely in the direction of g and reduces with latitude. The reduction factor is the cosine of the latitude angle because the actual velocity component contributing to centripetal acceleration is the component of the Earth's rotational velocity at the surface that is perpendicular to the axis of rotation, which is maximized at the equator and zero at the poles.
To calculate it: The earth rotates once every 24 hours, giving us a rotational velocity at the equator. We can derive velocity (v) at the equator using the formula v = 2πr / T, where r is Earth's radius (approximately 6380 km) and T is the period of rotation (86400 seconds). The equatorial velocity can then be used to calculate centripetal acceleration at the equator with ac = v² / r, which is found to be a fraction of g, as shown in discussions. At a latitude of 71.9 degrees, this acceleration is reduced by the factor cos(71.9°), illustrating how ac changes with latitude.
Thus, to express the centripetal acceleration at this latitude as a multiple of g, one would calculate the acceleration as derived for the equator and adjust it by the factor cos(71.9°). This allows us to understand the reduced effect of Earth's rotation on the apparent weight of an object as the latitude increases, which is crucial in understanding phenomena such as the variation in gravity and the operation of pendulum clocks at different latitudes.
A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is 0.400 m long and has a mass of 3.00 g. What is the frequency of its fundamental mode of vibration?
Answer:
408.25 Hz.
Explanation:
The fundamental frequency of a stretched string is given as
f' = 1/2L√(T/m') .................... Equation 1
Note: The a steel piano wire is a string
Where f' = fundamental frequency of the wire, L = length of the wire, T = tension on the wire, m' = mass per unit length of the wire.
Given: L = 0.4 m, T = 800 N,
Also,
m' = m/L where m = mass of the steel wire = 3.00 g = 3/1000 = 0.003 kg.
L = 0.4 m
m' = 0.003/0.4 = 0.0075 kg/m.
Substituting into equation 1
f' = 1/(2×0.4)[√(800/0.0075)]
f' = 1/0.8[√(106666.67)]
f' = 326.599/0.8
f' = 408.25 Hz.
Hence the frequency of the fundamental mode of vibration = 408.25 Hz.
To find the frequency of the fundamental mode of vibration, use the equation f₁ = vₓ / 2L, where vₓ is the speed of waves in the string and L is the length of the string. The speed of waves can be calculated using vₓ = √(T/μ), where T is the tension in the string and μ is the linear mass density of the string. Plugging in the given values, the frequency of the fundamental mode is 1886.75 Hz.
Explanation:In order to find the frequency of the fundamental mode of vibration of the steel piano wire, we need to use the equation:
f1 = vw/2L
Where f1 is the frequency of the fundamental mode, vw is the speed of waves in the string, and L is the length of the string. The speed of waves in the string can be calculated using the equation:
vw = √(T/μ)
Where T is the tension in the string and μ is the linear mass density of the string.
Plugging in the given values, we have:
T = 800 N, L = 0.400 m, and μ = 3.00 g = 0.00300 kg
Converting the linear mass density to kg/m, we have:
μ = 0.00300 kg / 0.400 m = 0.00750 kg/m
Plugging these values into the equation for the speed of waves, we have:
vw = √(800 N / 0.00750 kg/m) = √106666.67 m/s
Finally, plugging the speed of waves and the length of the string into the equation for the frequency of the fundamental mode, we have:
f1 = (√106666.67 m/s) / (2 * 0.400 m)
Calculating this, we get:
f1 = 1886.75 Hz
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Are graded receptor potentials always depolarizing? Do graded receptor potentials always make it easier to induce action potential?
Answer: Yes,graded receptor potential always depolarize.
Yes,graded receptor potentials must occur to depolarize the neutrons to threshold before action potentials can occur.
Explanation:
An isotope of Oxygen has 8 protons, 10 neutrons, and 8 electrons. What is the atomic mass of this isotope?
Answer:
18
Explanation:
An isotope an atom of a particular element is another atom having same number of protons or electrons but different number of neutrons.
For example oxygen
element proton neutron
O-16 8 8
O-17 8 9
O-18 8 10
Now atomic mass of atom = no. of protons +no. of neutrons
therefore, mass number of Oxygen has 8 protons, 10 neutrons, and 8 electrons. = 8+10 =18.
Answer:
The atomic mass of this isotope is 18.
Explanation:
Given that,
Number of proton = 8
Number of neutron =10
Number of electron = 8
Atomic mass :
Atomic mass is the addition of number of neutron and number of proton or electron.
We need to calculate the atomic mass of this isotope
Using formula of atomic mass
[tex]A=N+P[/tex]
Where, N = number of neutron
P = number of proton
Put the value into the formula
[tex]A=10+8[/tex]
[tex]A=18[/tex]
Hence, The atomic mass of this isotope is 18.
Explain why incremental development is the most effective approach for developing business software systems. Why is this model less appropriate for real-time systems engineering?
The incremental development is an effective tool for business software applications while it cannot be applied on real-time systems engineering.
Business software technologies are complex. Business software applications are often upgraded with changes in requirments of business goals and procedures.
Real-time systems engineering require a lot of hardware components that are quite difficult to change easily.
Therefore, the incremental development is an effective tool for business software applications while it cannot be applied on real-time systems engineering.
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Incremental development is effective for business software due to its flexibility, reduced risk, and continuous improvement. However, it is less appropriate for real-time systems engineering because these systems require predictable, precise, and immediate responses that iterative changes can undermine.
Incremental development, often aligned with agile methodologies, is effective for business software systems because it emphasizes flexibility and continuous improvement. This approach allows teams to develop software in small, manageable increments, making it easier to adapt to changing business needs and customer feedback. Regular iterations ensure that the project delivers business value continuously, minimizing risks associated with large-scale overhauls.
Several advantages make incremental development suitable for business software:
Flexibility: Allows for adjustments based on ongoing customer feedback and changing market conditions. Reduced Risk: Smaller, manageable increments mean issues can be identified and addressed early.Continuous Improvement: Continuous iterations help in progressively improving functionality and user satisfaction.Enhanced Collaboration: Active customer involvement ensures that the end product aligns well with business needs.Limitations for Real-Time Systems Engineering:
Predictability: Real-time systems need predictable performance and behavior, which is challenging to maintain with iterative changes.Timing Constraints: Immediate, precise reactions are critical in real-time systems, and incremental updates can introduce unwanted delays or inconsistencies.Rigidity: Typically, real-time systems have rigid requirements that do not align well with the adaptable approach of incremental development.If the speed of a car is increased by 80%, by what factor will its minimum braking distance be increased, assuming all else is the same? Ignore the driver's reaction time.
Answer:
[tex]KE_2=3.24 \times KE_1[/tex]
Explanation:
given,
Speed of car = v
new speed of car v'= 1.8 v
Kinetic energy of the car
[tex]KE_1 =\dfrac{1}{2}mv^2[/tex]
new Kinetic energy of energy
[tex]KE_2 =\dfrac{1}{2}mv'^2[/tex]
[tex]KE_2=\dfrac{1}{2}m(1.8v)^2[/tex]
[tex]KE_2=3.24 \times \dfrac{1}{2}mv^2[/tex]
[tex]KE_2=3.24 \times KE_1[/tex]
hence, the kinetic energy is increased by the factor of 3.24.
Suppose the fetus's ventricular wall moves back and forth in a pattern approximating simple harmonic motion with an amplitude of 1.7 mm and a frequency of 3.0 Hz. Find the maximum speed of the heart wall (in m/s) during this motion. Be careful of units!
Answer:
The maximum speed of the heart wall during this motion is 0.032 m/s.
Explanation:
Given that,
Amplitude of the simple harmonic motion, A = 1.7 mm = 0.0017 m
Frequency of the fetus's ventricular wall, f = 3 Hz
We need to find the maximum speed of the heart wall during this motion. The maximum speed of the object that is executing SHM is given by :
[tex]v_{max}=A\omega[/tex]
[tex]v_{max}=2\pi f A[/tex]
[tex]v_{max}=2\pi \times 3\times 0.0017[/tex]
[tex]v_{max}=0.032\ m/s[/tex]
So, the maximum speed of the heart wall during this motion is 0.032 m/s. Hence, this is the required solution.
A certain reaction with an activation energy of 185 kJ/mol was run at 525 K and again at 545 K . What is the ratio of f at the higher temperature to f at the lower temperature?
Answer: The ratio of f at the higher temperature to f at the lower temperature is 4.736
Explanation:
According to the Arrhenius equation,
[tex]f=A\times e^{\frac{-Ea}{RT}}[/tex]
or,
[tex]\log (\frac{f_2}{f_1})=\frac{Ea}{2.303\times R}[\frac{1}{T_1}-\frac{1}{T_2}][/tex]
where,
[tex]f_1[/tex] = rate constant at 525K
[tex]K_2[/tex] = rate constant at 545K
[tex]Ea[/tex] = activation energy for the reaction = 185kJ/mol= 185000J/mol (1kJ=1000J)
R = gas constant = 8.314 J/mole.K
[tex]T_1[/tex] = initial temperature = 525 K
[tex]T_2[/tex] = final temperature = 545 K
Now put all the given values in this formula, we get
[tex]\log (\frac{f_2}{f_1})=\frac{185000J/mol}{2.303\times 8.314J/mole.K}[\frac{1}{525K}-\frac{1}{545K}][/tex]
[tex]\log (\frac{f_2}{f_1})=0.6754[/tex]
[tex](\frac{f_2}{f_1})=4.736[/tex]
Therefore, the ratio of f at the higher temperature to f at the lower temperature is 4.736
The two naturally occurring isotopes of hydrogen are (atomic mass = 1.00783 ; abundance 99.9885%) and (atomic mass = 2.01410 ; abundance 0.0115%). a)How many peaks will the mass spectrum have? b) Give the relative atomic masses of each of these peaks. c) which peak will be the largest and which the smallest?
Answer:
a) two peak in the spectrum , b) m₁ / m_ c = 100783 , m₂ / m_c = 2.01410, c) the lighter isotope peak is much higher than the other
Explanation:
A mass spectrometer is a device where an ionized and accelerated sample in a constant electric field enters a magnetic field that deflects it for detection, in vernal the intensity of the magnetic field is controlled.
Newton's second Law gives us
[tex]F_{m}[/tex]= m a
The acceleration is centripetal
a = v² / r
q v B = m v² / r
q B = m v / r
r = (m / q) v / B
a) with We have two different isotopes must separate only two peak in the spectrum
b) the relative atomic mass is the ratio between the mass of an atom in kg and the weighted mass of carbon that is 12
m₁ / m_ c = 100783
m₂ / m_c = 2.01410
It has units for being the relationship between two masses
c) The peak height intensity is proportional to the abundance of each isotope.
The most used is to calculate the relative abundances is to use the area of each peak
Therefore the lighter isotope peak is much higher than the other
A) The number of peaks that the mass spectrum will have is; 3 peaks
B) The relative atomic masses of each of the peaks are;
Peak 1H - 1H = 2.01566 amu
Peak 1H - 2H = 3.02193 amu
Peak 2H - 2H = 4.02820 amu
C) The largest and smallest peak will be;
Largest Peak = Peak 2H - 2H
Smallest Peak = Peak 1H - 1H
We are told that the two naturally occurring isotopes of hydrogen are;
atomic mass = 1.00783 ; abundance 99.9885%
atomic mass = 2.01410 ; abundance 0.0115%
A) The mass spectrum will have 3 peaks namely;
1H - 1H1H - 2H2H - 2HB) The relative atomic masses of each of the peaks will be;
Relative atomic mass of Peak 1H - 1H = 1.00783 + 1.00783 = 2.01566 amu
Relative atomic mass of Peak 1H - 2H = 1.00783 + 2.01410 = 3.02193 amu
Relative atomic mass of Peak 2H - 2H = 2.01410 + 2.01410 = 4.02820 amu
C) From B above, we conclude that;
Largest Peak is Peak 2H - 2H
Smallest Peak is Peak 1H - 1H
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You pull your car into your driveway and stop. The drive shaft of your car engine, initially rotating at 2400 rpm, slows with a constant rotational acceleration of magnitude 30 rad/s2.
Complete question is: You pull your car into your driveway and stop. The drive shaft of your car engine, initially rotating at 2400 rpm,slows with a constant rotational acceleration of magnitude 30 rad/s². How long does it take for the drive shaft to stop turning?
Answer:
8.37 s
Explanation:
Initial rotational velocity, ω₀ = 2400 rpm = 2400 × 2π/60 = 251.2 rad/s
Final velocity, ω = 0
rotational deceleration, α =- 30 rad/s²
Use the first equation of rotational motion:
[tex] t = \frac{\omega - \omega_o}{\alpha}[/tex]
Substitute the values:
[tex] t = \frac{0 - 251.2}{-30}=8.37 s[/tex]
You and your dog go for a walk to the park. On the way, your dog takes many side trips to chase squirrels or examine fire hydrants. When you arrive at the park, do you and your dog have the same displacement?
Answer:
yes. We will have the same displacement.
Explanation:
It's in the definition of a displacement that " displacement is the change in position and if the initial and final position is same then the displacement will be zero". So in the park from starting position if we end up walking at the same position then our displacement will be zero because our initial and final positions are same.