The amount of time the shot-put spent in the air before it hits the ground is 3 sec
given the data in the question;
A person throws a shot-put from height, initial height; s = 5ft
Initial vertical velocity or speed; v = 40 ft/s
Now, it is said that, vertical motion model is;
[tex]h = -16t^2 +vt + s[/tex]
so we substitute in the given values
[tex]h = -16t^2 + (40ft/s * t) + 5ft[/tex] --------------Let this be equation 1
To calculate the amount of time the shot-put spent in the air before it hits the ground.
We say: height; h = 0 i.e when the shot-put touches the ground, the height becomes zero.
so we substitute in h=0 in equation 1
[tex]0 = -16t^2 + (40ft/s * t) + 5ft[/tex]
we rearrange
[tex]16t^2 - 40t - 5 = 0[/tex]
To solve for "t", we use the quadratic equation
[tex]x = \frac{-b\±\sqrt{b^2-4ac} }{2a} \\[/tex]
as [tex]ax^2 +bx-c = 0[/tex], we take each value from its position and substitute into the quadratic equation
so
a = 16
b = -40
c = -5
so substitute
[tex]x = \frac{-(-40)\±\sqrt{(-40)^2 - (4*16*(-5)} }{2*16} \\\\x = \frac{40\±\sqrt{1600+320} }{32}[/tex]
[tex]x = \frac{40\±\sqrt{1920} }{32}\\so\\\\x = \frac{40+\sqrt{1920} }{32} or \frac{40-\sqrt{1920} }{32} \\\\x = 2.62\\or\\ x = -0.12\\[/tex]
we know that, time can not be negative,
Hence x = 2.62 ≈ 3 sec { nearest tenth }
Therefore, the amount of time the shot-put spent in the air before it hits the ground is 3 sec
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What is the mass of an object that has an acceleration of 2.63 m/s2 when an unbalanced force of 112 N is applied to it?
The mass of object is 42.6 kg
Solution:
Given that,
Acceleration = 2.63 [tex]m/s^2[/tex]
Applied unbalanced force = 112 N
To find: mass of object
Newton's second law gives the relation between the applied force and the acceleration produced by it. Mathematically, it can be written as :
[tex]F = m \times a[/tex]
Where, "m" is the mass and "a" is the acceleration
Substituting the given values we get,
[tex]112 = m \times 2.63\\\\m = \frac{112}{2.63}\\\\m = 42.6[/tex]
Thus mass of object is 42.6 kg
Answer:
42.6kg Is correct
Explanation:
I’m doing it in science class right now
HELP ASAP
Explain why someone driving a modern vehicle is more likely to survive a car accident than someone driving a classic car (50 years old or older). Assume the details of the crashes are the same other than the type of vehicle being driven.
Modern vehicles tend to have more safety measures, such as more efficient airbags and seatbelts, which can prevent some deadly injuries that come from car crashes. Older vehicles don't have as many safety features due to the lack of technology.
Answer: Its more better bc the modern car has more protection.
Explanation:Hope this helps.
Hii:) anyone able to help with this question? ( it’s in the pic above)
Thank you :) !
Answer:
dang your teacher gave you a hard one xD
Explanation:
Answer:
4.0s
Explanation:
The period of the pendulum is the time taken for it to complete 1 full oscillation. This means that the pendulum moves this way for it to be 1 oscillation:
P ➟ Q ➟ R ➟ Q ➟ P
Since the pendulum only moved back to midpoint Q and not back to P, it has completed less than 1 oscillation.
Let each movement to the next section be 1 unit.
So 1 oscillation - 4units
In this case, the pendulum moved 3 units.
3 units ----- 3s
1 unit ----- 3÷3
1 unit ----- 1s
Thus 1 full oscillation would take 4(1)= 4s
Therefore, period of pendulum= 4s.
1. A poorly tuned Yugo can accelerate from rest to a speed of 28 m/s in
20 s.
a) What is the average acceleration of the car?
b) What distance does it travel in this time?
a)The average acceleration of the car is [tex]1.4 \mathrm{m} / \mathrm{s}^{2}[/tex]
b) The distance travelled is 560 m
Explanation:
a) Acceleration is defined as the rate of change in velocity per unit time. So it can be obtained by measuring the ratio of speed to time.
[tex]Average acceleration =\frac{\text { Final speed - Initial Speed }}{\text { time }}[/tex]
Since here the initial speed was zero and final speed is given as 28 m/s, then time is given as 20 s. So,
[tex]\text {Acceleration}=\frac{28-0}{20}=\frac{28}{20}=1.4 \mathrm{m} / \mathrm{s}^{2}[/tex]
b) As the speed is given as 28 m/s, then
[tex]\text {distance}=\text { Speed } \times \text { Time }=28 \times 20=560 \mathrm{m}[/tex]
So the distance travelled is 560 m and average acceleration is [tex]1.4 \mathrm{m} / \mathrm{s}^{2}[/tex].
Ultraviolet radiation is dangerous because it has a high enough energy to damage skin cells. What is the BEST explanation of the relationship between wavelength and wave energy? A) Wave energy is related only to frequency, not wavelength. B) Longer wavelengths have lower frequencies but higher energy. C) The shorter the wavelength, the lower the frequency and the higher the energy. D) The shorter the wavelength, the higher the frequency and the higher the energy.
The answer is shorter the wavelength, higher the frequency and higher the energy.
Explanation:
The sun radiates UV energy in a wide range of wavelength, which are invisible to human eyes. The shorter the wavelength, the more energetic the radiation, and the greater the potential for harm.
The relationship between wavelength and wave energy is shorter the wavelength, higher the frequency and higher the energy.
It has a frequency ranges from 8 × 10^14 to 3 × 10^16 cycles per second, or hertz (Hz), and wavelengths id about 380 nanometers to about 10 nm.
Answer:
A
Explanation:
A 1.000kg block of phosphorus-32, which has a half life of 14.3 days, is stored for 100.1 days. At the end of this period, how much phosphorus-32 remains?
Answer: 0.0078 kg
Explanation:
The answer can be found using the Radioactive Half Life Formula:
[tex]A=A_{o}.2^{\frac{-t}{h}}[/tex]
Where:
[tex]A[/tex] is the final amount of phosphorus-32
[tex]A_{o}=1 kg[/tex] is the initial amount of phosphorus-32
[tex]t=100.1 days[/tex] is the time elapsed
[tex]h=14.3 days[/tex] is the half life of phosphorus-32
Solving with the given data:
[tex]A=(1 kg)2^{\frac{-100.1 days}{14.3 days}}[/tex]
[tex]A=0.0078 kg[/tex] This is the remaining amount of phosphorus-32
Given a 1.000kg block of phosphorus-32 with a half-life of 14.3 days, we can calculate the remaining amount after 100.1 days using exponential decay and the half-life formula.
Explanation:The question pertains to the concept of radioactive decay, particularly concerning the half-life of an isotope. The block of phosphorus-32 being referred to undergoes radioactive decay, and its half-life, or the time required for half of the substance to decay, is 14.3 days.
To find out how much remains after a certain number of days, we can use the equation N = N0*(1/2)^(t/T), where N is the final amount, N0 is the initial amount, t is the elapsed time, and T is the half-life. In this case:
N0 = 1.000 kg (initial amount)T = 14.3 days (half-life)t = 100.1 days (elapsed time)
Inserting the respective values into the formula, we find how much phosphorus-32 remains at the end of this period.
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1600 AM broadcasts radio waves with wavelengths
of about 187.37 m. Convert this to miles.
Answer:
The wavelength in miles is 0.1165 miles.
Explanation:
Given:
Wavelength of the radio wave is 187.37 m.
Now, the wavelength is given in meters.
We need to convert the wavelength from meters to miles.
In order to convert meters to miles, we have to use their conversion factor.
We know that,
1 meter = [tex]\frac{1}{1609}\ miles[/tex]
Therefore, the conversion factor is given as:
[tex]CF=\frac{1}{1609}\ miles\ per\ meter[/tex]
So, the wavelength in miles is given as:
[tex]Wavelength=\textrm{Wavelength in meters}\times CF\\\\Wavelength=187.37\ m\times \frac{\frac{1}{1609}\ miles}{1\ m}\\\\Wavelength=\frac{187.37}{1609}\ miles\\\\Wavelength=0.1165\ miles[/tex]
Hence, the wavelength in miles is 0.1165 miles.
What does M represent in the equation below?
m = M + 5 log(d/10)
A. luminosity
B. spectral class
C. absolute magnitude
D. apparent magnitude
Answer:
m represents apparent magnitude in the equation m = M + 5 log(d/10).
Explanation:
Which statement best describes the weather shown by the purple combination of semicircles and triangles on a line on a weather map? An occluded front can cause light to heavy precipitation that may last several days. A stationary front may produce rainy or snowy weather for several days. A warm front brings drizzly weather. A cold front can cause heavy rain, thunder, and lightning.
Answer: the answer is:
" An occluded front light to heavy precipitation that my last several days.''
Explanation: i got it right on my test
hope it helps
A warm front is the best description of the weather combinations that are seen in semi-circles and triangles on the weather map.
A warm front is a leading edge of an equator facing warm air mass. A warm front lies in place of low pressure. The front is usually followed by cooler air and gets lifted as a result of this light weight. The warm front is characterized by relatively stable and increasing rainfall.Hence the option C is correct.
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7. If a hot spoon is placed in a glass of cold
water, what happens to the entropies of the
molecules in the spoon and the water
molecules?
A spoon increase, water increase
B spoon increase, water decrease
C spoon decrease, water increase
D spoon decrease, water decrease
Answer:
C
Explanation:
Spoon decrease, water increase
Final answer:
When a hot spoon is placed in cold water, the spoon's entropy decreases and the water's entropy increases as heat is transferred from the spoon to the water. So the correct option is C.
Explanation:
If a hot spoon is placed in a glass of cold water, the entropy of the molecules in the spoon decreases, and the entropy of the water molecules increases. This is because entropy can be thought of as the measure of disorder within a system. The hot spoon transfers heat to the colder water, resulting in a decrease in temperature and therefore a decrease in disorder of the spoon's molecules, leading to lower entropy. Conversely, the cold water gains heat, increasing the disorder of its molecules, thus increasing its entropy. So, the correct answer is (C) spoon decrease, water increase.
A 1090 kg car moving +11.0 m/s
makes a head-on inelastic collision
with a stationary car. After, they
move +4.75 m/s. What is the
mass of the second car?
The mass of the second car is 1434.21 kg
Explanation:
Using law of conservation of momentum,
[tex]m_{1} u_{1}+m_{2} u_{2}=\left(m_{1}+m_{2}\right) v[/tex]
Given:
[tex]m_{1}[/tex] = 1090 kg
[tex]u_{1}[/tex] = 11 m/s
[tex]u_{2}[/tex] = 0
v = 4.75 m/s
We need to find [tex]m_{2}[/tex]
When substituting the given values in the above equation, we get
[tex](1090 \times 11)+\left(m_{2} \times 0\right)=\left(1090+m_{2}\right) 4.75[/tex]
[tex]11990=5177.5+4.75 m_{2}[/tex]
[tex]4.75 m_{2}=11990-5177.5[/tex]
[tex]4.75 m_{2}=6812.5[/tex]
[tex]m_{2}=\frac{6812.5}{4.75}=1434.21 \mathrm{kg}[/tex]
Answer:
1434.21 kg
Explanation:
A ball is dropped off the side of a bridge. after falling 1.55 s, what is its velocity?
Answer:
-15.19 m/s
Explanation:
The 1D kinematic equation for velocity is the v = v0 * at.
In this case, v is the final velocity (what we're after), v0 is the initial velocity, a is the acceleration, and t is the time elapsed.
v0 is 0 because at 0 seconds we are just releasing the ball.
a is the acceleration due to gravity as no other factors are specified.
t is the change in time.
v = 0 * -9.8 m/s^2 * 1.55 = -15.19 m/s.
Answer:
-15.19
Explanation:
Which is the best description of a molecule?
A molecule of an element is composed of at least two types of atoms.
Amolecule of a compound is composed of only one type of atom.
A molecule of a compould is composed of at least two types of atoms.
A molecule of an element is composed of exactly two types of atoms.
Answer:
A molecule of an element is composed of exactly two types of atoms.
Explanation:
Answer: I believe that the correct answer is C....I could be wrong though...
Explanation:
A roller coaster car rapidly picks up speed as it rolls down a hill. As it starts down the hill, its speed is 4 m/s. But 3 seconds later, at the bottom of the hill, its speed is 22 m/s. What is its average acceleration?
The acceleration is [tex]6 m/s^2[/tex]
Explanation:
The acceleration of an object is the rate of change in velocity, and it is given by the equation
[tex]a=\frac{v-u}{t}[/tex]
where
v is the final velocity
u is the initial velocity
t is the time needed for the velocity to change from u to v
For the roller coaster in this problem, we have
u = 4 m/s
v = 22 m/s
t = 3 s
Substituting, we find
[tex]a=\frac{22-4}{3}=6 m/s^2[/tex]
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What is the escape velocity on the Venus ? Venus' mass 4.90*10^ 24 kg and radius is 6.86 * 10 ^ 6 * m
The escape velocity on Venus is 9761 m/s
Explanation:
The escape velocity from a planet is the speed that an object on the surface of that planet must have in order to completely escape the gravitational field of the planet.
Mathematically, it is calculated as
[tex]v=\sqrt{\frac{2GM}{R}}[/tex]
where
G is the gravitational constant
M is the mass of the planet
R is the radius of the planet
For Venus, we have:
[tex]M=4.90\cdot 10^{24}kg[/tex] is the mass
[tex]R=6.86\cdot 10^6 m[/tex] is the radius
Substituting, we find the escape velocity on Venus:
[tex]v=\sqrt{\frac{2(6.67\cdot 10^{-11})(4.90\cdot 10^{24})}{6.86\cdot 10^6}}=9761 m/s[/tex]
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A 2000 kg car drives around a circular exit ramp with a radius of 30 meters. The car drives all the way around the ramp in 10 seconds. How fast is the car driving?"
Answer:
The car is driving at the speed of 18.85 meters per seconds.
Explanation:
Given:
The radius of the circular exit ramp = 30 meters
Mass of the car = 2000 kg
Time = 10 seconds
To Find :
The Speed of the car = ?
Solution:
We know that speed = [tex]\frac{distance}{time}[/tex]---------------(1)
Here the distance is the circumference of the circular exit ramp
Then circumference =[tex]2 \pi r[/tex]
where r is the radius
On substituting the values
Distance = [tex]2\pi(30)[/tex]
Distance = 188.5 meters------------------------(2)
Substituting (2) in (1)
speed =[tex]\frac{188.5}{10}[/tex] seconds
Speed = 18.85 meters per seconds
Donna stretched a spring to increase its length. Nearby in an electrical device, a positive charge attracted a negative charge. Which statement is true about the spring and the negative charge?
A. They both experienced contact forces.
B. They both experienced non-contact forces.
C. The spring experienced a contact force and the charge experienced a non-contact force.
D. The spring experienced a non-contact force and the charge experienced a contact force.
C. The spring experienced a contact force and the charge experienced a non-contact force
Explanation:
In physics, there are two types of forces:
Contact forces: contact forces are those where a contact between the objects involved is needed, in order to have the force. Examples of contact forces are the force of friction (the contact between the two surfaces is needed), or the elastic force in a spring (in fact, the spring needs to be physically in contact with something that stretches it)Non-contact forces: non-contact forces are those where no contact is needed between the objects, so they can be exerted at a distance. Examples are the gravitational force (two masses exert a force on each other even from a distance) or the electric force (two charges exert a force on each other even from a distance).Therefore, in this example:
The spring experiences a contact forceThe two charges experience a non-contact forceSo the correct answer is
C. The spring experienced a contact force and the charge experienced a non-contact force
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Answer:
C
Explanation:
I did this test and got 100%
A 0.1 kg apple drops 2m hitting a spring. The spring deforms 0.1m.
What is the spring constant ?
Answer:
392 N/m
Explanation:
We know that the total mechancial enery will be conserved from when the apple drops to when it hit the spring. Therefore, we can set the potential energy of the apple equal to the elastic potential energy of the spring.
PE = mgh and SE = 1/2kx² — PE is the initial potential energy of the apple and SE is the elastic potential energy of the spring.
mgh = 1/2kx². (.1)(9.8)(2) = (1/2)(k)(.1²), solve for k. k = 392
explain why solar eclipses do not occur every time the moon revolves around earth
Answer:
the moon, earth, and sun all must be in alignment ; not just the moon and earth
Final answer:
Eclipses occur when the Moon, Earth, and Sun align, but the Moon's orbit inclination causes eclipses to be rare occurrences due to the specific alignment needed for an eclipse to happen.
Explanation:
Eclipses occur when the Moon, Earth, and Sun are directly lined up in the full Moon (lunar eclipse) and new Moon (solar eclipse) positions. Eclipses do not occur every month because the Moon's orbit is inclined about 5 degrees so usually the Moon is little above or a little below the direct line of sight from the Sun.
The reason for the rarity of eclipses lies in the inclination of the Moon's orbit. This inclination causes the Moon to mostly be positioned either above or below the Earth during a new moon, preventing a solar eclipse every month.
While the Moon revolves around the Earth close to once a month, the specific alignment required for an eclipse to occur is met only occasionally due to the intricate orbital dynamics between the Earth, Moon, and Sun.
Would a wire carrying more electrons transfer more energy than a wire carrying fewer electrons? Explain why or why not.
Answer:
no
Explanation:
abcdefghijklmnopqrstuvwxyz
Answer:IT depends on the material of the wire
Explanation:certain materials help them move faster
A mass on a spring with k=88.7 N/m oscillates 15 times in 9.24s. what is the objects mass? unit=kg?
The mass on the spring is 0.86 kg
Explanation:
The period of a mass-spring system is given by the equation
[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]
where
m is the mass
k is the spring constant
In this problem, we have:
k = 88.7 N/m is the spring constant
The system makes 15 oscillations in 9.24 s: therefore, the period of the system is
[tex]T=\frac{9.24}{15}=0.62 s[/tex]
Now we can re-arrange the first equation to solve for the mass:
[tex]m=k(\frac{T}{2\pi})^2=(88.7)(\frac{0.62}{2\pi})^2=0.86 kg[/tex]
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Answer:
0.86
Explanation:
Acellus
a bat traveling at 10m/s for 10 seconds has traveled how much distance
Answer:
100m
Explanation:
Speed = distance divided by time or v=d/t . By making d the subject of the formula we have d = v x t which is 10 x 10 = 100
Explain how two dangerous elements can form a compound that is edible
Two dangerous elements can form a compound that is edible known as "NaCl salt".
Explanation:
Sodium and chlorine are two very dangerous elements. As the reaction between sodium and water is extremely violent and chlorine is a very toxic gas. But combination of these elements result into a harmless product with unique properties like it is edible and dissolves without exploding in water.
In sodium chloride reaction the atoms of sodium interact with chlorine atoms. Sodium will donate an electron (by becoming positively charged) to acceptor chlorine (which become negatively charged) as given in following reaction
[tex]N a+C l_{2} \rightarrow N a C l[/tex]
As sodium and chlorine are very keen to achieve noble gas configuration by completing an octet on donating and accepting an electron respectively.
The dangerous two elements which are compounded together to form an edible compound are sodium (Na) and Chlorine (Cl) salt.
What are the two dangerous elements that can form a compound that is edible?The two dangerous elements which are combined to form an edible compound are sodium and chlorine. We know that sodium is exploding material that can explode in water.
Similarly chlorine gas is also a very toxic gas but when we combine both of them then the compound formed will be an edible salt. This compound can easily dissolve in water.
When sodium and chlorine are exposed to each other for the reaction the positive atoms of the sodium gets combined with the negative atoms of the chlorine so the compound of NaCl is formed
[tex]Na^{+}+Cl^{-}=NaCl[/tex]
As sodium and chlorine are very keen to achieve noble gas configuration by completing an octet on donating and accepting an electron respectively.
Thus the dangerous two elements which are compounded together to form an edible compound are sodium (Na) and Chlorine (Cl) salt.
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is the SI unit of work newton?
Answer:
No
Explanation:
The s.i. unit of work is Joules. Work is measured in Joules. It is the product of force and the distance moved in the direction of the force. Force is in Newton while distance is measured in metres.
a small plane makes a complete circle with a radius of 3282m in 2.0 min. What is the centripical acceleration of the plane?
Answer:
8.99m/s
Explanation:
What does the graph of acceleration vs. time look like for something going a
constant velocity?
O
A. A downward sloping straight line
O
B. A vertical line.
O
C. A horizontal line.
O
D. A curving line with upward slope.
Acceleration vs time graph would show C. A horizontal line (at zero)
Explanation:
The acceleration of an object is the rate of change of velocity of the object:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
where
[tex]\Delta v[/tex] is the change in velocity
[tex]\Delta t[/tex] is the time interval
For an object moving at constant velocity,
[tex]\Delta v = 0[/tex]
This means that also the acceleration is zero:
[tex]a=0[/tex]
And therefore, if we plot the graph of the acceleration vs time, we would see a horizontal line (cosntant acceleration) at zero (because the acceleration is zero).
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What is an acid-base reaction also called?
A. Antacid reaction
B. Neutralization reaction
C. Salt-water reaction
D. Single-displacement reaction
Answer:
B. Neutralization reaction.
Explanation:
Acid base reaction is called neutralization reaction because the product of this reaction are neutral substances.(i.e. salt and water which are neutral in nature as their PH value is 7).
For example...
HCl + NaOH -----> NaCl + H2O
Here, acid(HCl) reacts with base(NaOH) to give nutral substances salt(NaCl) and water(H2O).
when two object P and Q are supplied with the same quantity of heat, the temperature change in P is observed to be twice that of Q. The mass of P is half that of Q. The ratio of the specific heat capacity of P to Q
When two object P and Q are supplied with the same quantity of heat, the temperature change in P is observed to be twice that of Q. The mass of P is half that of Q. The ratio of the specific heat capacity of P to Q
Explanation:
Specific heat capacity
It is defined as amount of heat required to raise the temperature of a substance by one degree celsius .
It is given as :
Heat absorbed = mass of substance x specific heat capacity x rise in temperature
or ,
Q= m x c x t
In above question , it is given :
For Q
mass of Q = m
Temperature changed =T₂/2
Heat supplied = x
Q= mc t
or
X=m x C₁ X T₁
or, X =m x C₁ x T₂/2
or, C₁=X x 2 /m x T₂ (equation 1 )
For another quantity : P
mass of P =m/2
Temperature= T₂
Heat supplied is same that is : X
so, X= m/2 x C₂ x T₂
or, C₂=2X/m. T₂ (equation 2 )
Now taking ratio of C₂ to c₁, We have
C₂/C₁= 2X /m.T₂ /2X /m.T₂
so, C₂/C₁= 1/1
so, the ratio is 1: 1
Which of the following planets has a diameter that is larger than the diameter of the Earth? A. Mars B. Venus C. Neptune D. Mercury
Answer:
Neptune.
Explanation:
Earth has a diameter of 7,915 miles. I know that both Mars, Venus, and Mercury have a smaller size than earth so they must have a smaller diameter. Neptune, with a diameter of 30,599 miles, is the only one bigger than earth.
hope this helps!
A car increases its speed from 4.20 m/s to 8.60 m/s over 3.20 seconds. What is the car’s acceleration?
Answer:1.375metre per second square
Explanation: acceleration=(final velocity-initial velocity)÷time
acceleration=(8.6-4.2)÷3.2
Acceleration=4.4÷3.2
Acceleration=1.375 metre per second square