Answer:
<em>Correct choice: b 4H</em>
Explanation:
<u>Conservation of the mechanical energy</u>
The mechanical energy is the sum of the gravitational potential energy GPE (U) and the kinetic energy KE (K):
E = U + K
The GPE is calculated as:
U = mgh
And the kinetic energy is:
![\displaystyle K=\frac{1}{2}mv^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20K%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2)
Where:
m = mass of the object
g = gravitational acceleration
h = height of the object
v = speed at which the object moves
When the snowball is dropped from a height H, it has zero speed and therefore zero kinetic energy, thus the mechanical energy is:
![U_1 = mgH](https://tex.z-dn.net/?f=U_1%20%3D%20mgH)
When the snowball reaches the ground, the height is zero and the GPE is also zero, thus the mechanical energy is:
![\displaystyle U_2=\frac{1}{2}mv^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20U_2%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2)
Since the energy is conserved, U1=U2
![\displaystyle mgH=\frac{1}{2}mv^2 \qquad\qquad [1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20mgH%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2%20%20%20%20%5Cqquad%5Cqquad%20%5B1%5D)
For the speed to be double, we need to drop the snowball from a height H', and:
![\displaystyle mgH'=\frac{1}{2}m(2v)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20mgH%27%3D%5Cfrac%7B1%7D%7B2%7Dm%282v%29%5E2)
Operating:
![\displaystyle mgH'=4\frac{1}{2}m(v)^2 \qquad\qquad [2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20mgH%27%3D4%5Cfrac%7B1%7D%7B2%7Dm%28v%29%5E2%20%5Cqquad%5Cqquad%20%5B2%5D)
Dividing [2] by [1]
![\displaystyle \frac{mgH'}{mgH}=\frac{4\frac{1}{2}m(v)^2}{\frac{1}{2}m(v)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BmgH%27%7D%7BmgH%7D%3D%5Cfrac%7B4%5Cfrac%7B1%7D%7B2%7Dm%28v%29%5E2%7D%7B%5Cfrac%7B1%7D%7B2%7Dm%28v%29%5E2%7D)
Simplifying:
![\displaystyle \frac{H'}{H}=4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BH%27%7D%7BH%7D%3D4)
Thus:
H' = 4H
Correct choice: b 4H
The answer is D, the amount of energy stays the same.
A pebbled, uneven road would be easier to see at night because it minimizes the reflection of light from car’s light coming in the opposite direction. It is difficult to see when driving on the rainy day because the roadway reflects light from cars coming in the opposite <span>directions.</span>
Answer:
INCREASES, BECAUSE ITS ANGULAR MOMENTUM IS CONSERVED.
Explanation: Interstellar cloud of Hydrogen is an accumulation of Hydrogen gas in the cloud.
As the Interstellar cloud of Hydrogen shrinks (reduces) in size,the rate of rotation of the shrinked Interstellar cloud Increases because its angular momentum is conserved. GASEOUS MOLECULES MAKE UP ABOUT 99% OF THE INTERSTELLAR CLOUD WITH HYDROGEN HAVING ABOUT 90% OF THE VOLUME OF GASES IN THE INTERSTELLAR CLOUD.
Your answer is infrared, visible, ultraviolet.