To find the distance the car will roll along the slope before coming to rest, we can use the kinematic equation. Substituting the given values for initial velocity, acceleration due to gravity, and angle of the slope, we can calculate the distance traveled.
Explanation:To find the distance the car will roll along the slope before coming to rest, we can use the kinematic equation:
v² = u² + 2as
where v is the final velocity (0 m/s in this case), u is the initial velocity (6.5 m/s), a is the acceleration (-g*sinθ,-g*sin9°), and s is the distance traveled. Rearranging the equation, we get:
s = (v² - u²) / (2a)
Substituting the values, we can calculate the distance traveled along the slope using the given acceleration due to gravity and the angle of the slope.
Final answer:
To determine the distance the car will roll along the slope before being at rest and rolling back, we can use kinematic equations. The car will roll approximately 15.5 meters before being instantaneously at rest and starting to roll back.
Explanation:
To determine how far the car will roll along the slope before coming to rest and rolling back, we can use kinematic equations. The key here is to find the time it takes for the car to reach zero velocity, which will then allow us to calculate the distance traveled.
First, let's find the acceleration of the car along the slope. The component of gravity parallel to the slope is 9.81 m/s2 * sin(9°), which gives us an acceleration of 1.6 m/s2.
Using the kinematic equation, v2 = u2 + 2as, where v is the final velocity (which is zero), u is the initial velocity (6.5 m/s), a is the acceleration (-1.6 m/s2), and s is the distance along the slope, we can solve for s. Rearranging the equation, we get s = (v2 - u2) / (2a). Plugging in the values, we find that the car will roll approximately 15.5 meters along the slope before being instantaneously at rest and starting to roll back.
Sediment laid down by glacial meltwater is called
Answer:
Stratified drift
Explanation:
A rock that is different in size and type when compared to the rocks that are native to the region is called a glacial erratic.
When there is an accumulation of glacial debris that is unconsolidated which occur in currently and formerly glaciated regions on Earth and is glacially formed is called morraine. Ground morraine's are deposited by glacier retreats.
Stratified drift is the type of drift caused by deposits from glacial melt-water.
An outwash plain is formed by glacial sediments deposited by melt-water outwash.
The more energy something has, the more:
A. work it is able to do
B. pressure it has
C. gravity it displays
Answer:
The answer is A. Work it is able to do
Explanation:
According to the work energy theorem, the work done is equal to the change in kinetic energy, represented by the formula [tex]W = E_{f} - E_{i}[/tex] therefore, the more energy you have, there is more possibility of performing a job, or in other words if the change in kinetic energy is greater the work done is greater.
Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume? The sample’s volume is cm3.
Answer:
10 cm^3
Explanation:
Volume is defined as the space occupied by the body. The SI unit of volume is m^3 and the CGS unit is cm^3.
The relation between mass, volume and density is given by
Mass = volume × density
Volume = mass / density
Volume = 80 / 8
Volume = 10 cm^3
Did the period of the pendulum swing depend on the mass of the bob? On the length of the string? On the displacement? How does your data relate to the pendulum equation? You need not include your data tables and graphs, but you should explain your answer based on the information in your data tables and graphs.
In about 5 billion years, at the end of its lifetime, our sun will end up as a white dwarf, having about the same mass as it does now, but reduced to about 15,000 km in diameter.What will be its density at that stage?
...?
According to ohms law what is the resistance of a light bulb if the applied voltage is 9.0v and the current is 0.30 amps
if the opposite a 45 degree angle in the right triangle equals 12.5 meters, how long is the side adjacent to the angle
_______ is the worst way to protect ourselves from the sun's harmful rays.
Sunglasses
Only going outside when it is cloudy
Long-sleeved shirts
Sunscreen
An airplane travels from st louis to portland, oregon in 4.33 hours. if the distance traveled is 2,742 kilometers, what is the airplanes average speed
Answer:
633/km/hour
Explanation:
Distance/Time
Why is using a wheeled cart more efficient than dragging a suitcase?
what do all types of waves on the electromagnetic spectrum have in common
All electromagnetic waves are transverse waves and can travel through a vacuum. They travel at the same speed in a vacuum just like light, 300,000,000 m/s.
What are electromagnetic waves?Electromagnetic radiation (EMR) is comprised of electromagnetic (EM) field wave propagates through space transporting electromagnetic radiant energy.
Radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays are all examples of these. These waves are all part of the electromagnetic spectrum.
All waves are transverse waves that can travel through vacuum.
Thus, this factor is common in all types of waves in electromagnetic spectrum.
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VECTORS HELP~~
A ship is heading due north at 12 mph. The current
is flowing southwest at 4 mph. Find the actual bearing and speed
of the ship.
A ship is heading due north at 12 mph. The current is flowing southwest at 4 mph. the actual bearing and speed of the ship is 9.5 mph.
What is Speed ?Speed is a rate of change of distance with respect to time. i.e. v=dx÷dt. Speed can also be defined as distance over time i.e. speed= distance ÷ time it is denoted by v and its SI unit is m/s. it is a scalar quantity. Speed shows how much distance can be traveled in unit time. To find dimension for speed is, from formula Speed = Distance ÷ Time.
Dimension for distance is [L¹] ,
Dimension for Time is [T¹],
Dividing dimension of distance by dimension of time gives, [L¹] ÷ [T¹] = [L¹T⁻¹] Dimension for speed is [L¹T⁻¹].
Given,
Speed of the ship in north direction v' = 12 mph
Speed of the current in south west direction v" = 4 mph
magnitude of the resultant speed,
v² = v'² + v"² + 2v'v''cosθ
v² = 12² + 4² + 2×4×12 cos135
v = 9.5 mph
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at 1 kilometer per year , how many centuries would it take for people to move from africa to china which is 10,000 kilometers away-
a ball has a mass of 140 g. what is the force needed to accelerate the ball at 25 m/s2?
Answer:
3.5
Explanation:
The science of life is
The sciences concerned with the study of living organisms, including physiology, biology, botany, zoology, biochemistry, microbiology, and related subjects.
As an object moves along the x axis, many measurements are made of its position, enough to generate a smooth, accurate graph of x versus t. Which of the following quantities for the object cannot be obtained from this graph alone? (Select all that apply.)
the displacement during some time interval
the speed at any instant
the velocity at any instant
the average velocity during some time interval
the acceleration at any instant
Answer:
the acceleration at any instant
Explanation:
1). the displacement during some time interval
We can determine the displacement of the object from the graph because we know that displacement is defined as the change in position of the object and from graph change in position can be obtained easily
2). the speed at any instant
3). the velocity at any instant
speed at any instant of time and velocity at any instant of time must be same in the magnitude and we can determine it by the slope of the graph
As we know that instantaneous velocity is defined as
[tex]v = \frac{dx}{dt}[/tex]
so slope of the graph at any instant will give an idea about instantaneous speed of velocity
4). the average velocity during some time interval
To find average velocity we need the displacement of object at a given interval of time and ratio of this displacement and time interval is known as average velocity
So we can find it from graph
5). the acceleration at any instant
To find the instantaneous acceleration we need to find
[tex]a = \frac{dv}{dt}[/tex]
this is not possible to find from x-t graph because in order to find this slope we need to find velocity time graph.
Which of the following statements is true?
-the freezing and boiling temperatures of a substance are the same.
-the freezing and condensation temperatures of a substance are the same.
-the freezing and melting temperatures of a substance are the same.
-the freezing, melting, and boiling temperatures of a substance are the same.
Please help!!
If a 375 mL sample of water was cooled from 37.5 C to 0 C how much heat was lost in joules?
Tim and Rick both can run at speed vr and walk at speed vw, with vr>vw. They set off together on a journey of distance D. Rick walks half of the distance and runs the other half. Tim walks half of the time and runs the other half.
Part A
How long does it take Rick to cover the distance D?
Express the time taken by Rick in terms of vr, vw, and D.
Part B
Find Rick's average speed for covering the distance D.
Express Rick's average speed in terms of vr and vw.
Part C
How long does it take Tim to cover the distance?
Express the time taken by Tim in terms of vr, vw, and D.
Answers:
Part A: T = [ D/2 ] [ 1 / Vr + 1 / Vw) ]
Part B: Average speed = 2 × Vr × Vw / [ Vr + Vw ]
Parte C: T = 2 D / [Vr + Vw]
1) Variables:
D = total distance
Dr = run distance
Dw = walk distance
Vr = run speed
Vw = walk speed
T = total time
Tr = run time
Tw = walk time
2) Formulas:
i) velocity = distance / time
ii) distance = velocity × time
iii) time = distance / velocity
iv) Average speed = total distance / total time
3) General table:
person---------- run ------------ walk
RicK-------------- D/2------------- D/2
Tim -------------- T /2 ------------- T /2
4) Part A. How long does it take Rick to cover the distance D?
i) T = Tr + Tw
ii) Tr = Dr / Vr
iii) Dr = D / 2
⇒ Tr = [D/2] / Vr = D / [ 2Vr]
iv) Tw = [D/2] / Vw = D / [2Vw]
v) T = Tr + Tw = [D / 2] × [ 1 / Vr + 1 / Vw ]
T = [ D/2 ] [ 1 / Vr + 1 / Vw) ] ← answer
5) Part B. Find Rick's average speed for covering the distance D.
Average speed = D / T = D × 1 / T = D × [2 / D] × [Vr×Vw] / [Vr + Vw]
Average speed = 2 × Vr × Vw / [ Vr + Vw ]
5) Part C How long does it take Tim to cover the distance?
i) Tr = Dr / Vr = T / 2 ⇒ Dr = Vr × T /2
ii) Tw = Dw / Vw = T / 2 ⇒ Dw = Vw × T /2
iii) ⇒ D = Dr + Dw = Vr × T / 2 + Vw × T / 2
⇒ D = [Vr + Vw] × T / 2
iv) ⇒ T = 2 D / [Vr + Vw] ← answer.
If a 0.20 kg object fell 7.0 Meters before it hitting the ground, what was it's change in Potential Energy during the fall?
Which words in the sentence are the main and auxiliary verbs? Greg does not like cauliflower. A. does not like B. does not C. not like D. does like
A boat travels in a straight path that is 25° west of north. Which describes the values of the west and north components of the boat’s displacement?
Explanation:
It is given that, a boat travels in a straight path that is 25° west of north. Let W and N is the component of the boat’s displacement due west and north directions.
The west component is equal to [tex]W\ cos\theta[/tex] and the north component is equal to [tex]N\ sin\theta[/tex]. According to Cartesian coordinate system, west is negative x direction and north is positive y direction.
So, the west component is a negative number and the north component is a positive number.
Fill in the blank: energy can never be created nor destroyed just _ or _
If the current flowing through an electric heater increases from 6 to 12 amp while the voltage remains the same, the heat produced by the heater will be
a. reduced one-half.
c. two times the original heat.
b. unchanged.
d. four times the original heat.
Explanation:
It is given that,
Current, [tex]I_1=6\ A[/tex]
Heat produced, [tex]H_1=I_1^2Rt[/tex]............(1)
Where
R is the resistance
t is the time taken
So, [tex]H_1=36Rt[/tex]
Current, [tex]I_2=12\ A[/tex]
Heat produced, [tex]H_1=I_2^2Rt[/tex]
So, [tex]H_2=144Rt[/tex].............(2)
From equation (1) and (2), it is clear that
[tex]H_2=4\times H_1[/tex]
So, If the current flowing through an electric heater increases from 6 to 12 amp while the voltage remains the same, the heat produced by the heater will be four times the original heat.
What must be true of an object that has gravitational potential energy?it is stretched beyond a certain length.it is above a reference point.it is compressed shorter than a given length.it is moving past a reference point.
Answer:
b on edg
Explanation:
One liter of alcohol in a flexible container is carried to the bottom of the sea, where the pressure is 2.6x10^6 N/m^2. What will be its new volume?
Final answer:
According to Boyle's law, the new volume of the alcohol in the flexible container at the bottom of the sea can be calculated using the equation V1P1 = V2P2, where V1 is the initial volume, P1 is the initial pressure, and P2 is the new pressure. By substituting the given values, we find that the new volume is 3.846x10⁻⁷ m³.
Explanation:
According to Boyle's Law, the volume of gas is inversely proportional to the pressure when the temperature is held constant. Therefore, we can use the equation V1P1 = V2P2 to find the new volume. Let's substitute the given values into the equation:
V1 = 1 L
P1 = atmospheric pressure = 1 atm
P2 = 2.6x10⁶ N/m²
Solving for V2, we have:
V2 = (V1 x P1) / P2
V2 = (1 L x 1 atm) / (2.6x10⁶ N/m²)
V2 = 3.846x10⁻⁷ m³
Therefore, the new volume of the alcohol in the flexible container at the bottom of the sea is 3.846x10⁻⁷ m³.
Finish the following sentence. almost all of the oxygen (o2) one consumes in breathing is converted to _____________.
Almost all of the oxygen consumed during breathing is converted to carbon dioxide and water. Oxygen is transported by hemoglobin in the blood to body tissues, where it is used for metabolism, and carbon dioxide is transported back to the lungs to be exhaled.
Explanation:Almost all of the oxygen (O2) one consumes in breathing is converted to carbon dioxide (CO2) and water (H2O). In the body, oxygen is used by cells in a process called cellular respiration, where it is the final electron acceptor in the electron transport chain. The oxygen is used to oxidize nutrients, like glucose, to produce energy for the cells in the form of adenosine triphosphate (ATP). The oxidation of nutrients leads to the production of carbon dioxide and water as waste products, which are excreted from the body.
Oxygen is transported from the lungs to the tissues primarily through the binding with hemoglobin in red blood cells. As the blood passes through the body's tissues, oxygen is released from the hemoglobin and moves into the cells, where it is used for cellular metabolism. The carbon dioxide produced as a result of this metabolism is then carried back to the lungs via the blood, where it is expelled from the body through exhalation.
If the equation of motion of a particle is given by s = B cos(ωt + δ), the particle is said to undergo simple harmonic motion.
(a) Find the velocity of the particle at time t.
(b) When is the velocity 0?
Which one of the following scenarios accurately describes a condition in which resonance can occur?
A.) vibrating tuning fork is struck and begins to vibrate as the object used to strike it is placed away from the tuning fork.
B. ) A pipe's length is equal to 1⁄2 of the wavelength of the sound waves produced by a tuning fork vibrating over one end of the pipe that's open to the air at both ends.
C.) A person is holding a tuning fork on one end of a football field and another person is holding a separate tuning fork on the opposite end of the field.
D.) A column of air has a height equal to 1⁄8 of the wavelength of the sound waves produced by a tuning fork vibrating over the column of air in an open pipe that's partially immersed in water.
Answer:
B. ) A pipe's length is equal to 1⁄2 of the wavelength of the sound waves produced by a tuning fork vibrating over one end of the pipe that's open to the air at both ends.
Explanation:
Resonance is a phenomenon in which a vibrating body causes another body to vibrate at a specified frequency (or wavelength) with greater amplitude. Resonance also occurs in the following situations;
i. Swinging of a pendulum
ii. Plucking a string in an acoustic guitar
iii. Pushing of a playground swing at a regular interval
The sun is made mostly of .