By definition we have that the energy at the top of the ramp is equal to the energy at the bottom of the ramp. This is due to the principle of energy conservation.
We have then:

The energy at the top is only potential energy:

Where,
- <em>m: mass
</em>
- <em>g: acceleration of gravity
</em>
- <em>h: vertical height of the ramp
</em>
The energy when it falls is transformed into kinetic energy and therefore:

Where,
- <em>v: object speed.
</em>
Therefore we have:

Answer:
The potential energy is transformed into kinetic energy.

Answer:
if the old force is F, the new force is F/9
Explanation:
Recall that the Coulomb force between to charges is inversely proportional to the square of the distance between the charges.
Therefore, if the original distance "d" changes now to be "3d" (tripled), the denominator of the force expression will change from:

thus reducing the original force by a factor 1/9
So if the old force is F, the new force is F/9
M = mass of the girl = 53.4 kg
m = mass of skateboard = 3.55 kg
V' = velocity of the combination of girl and skateboard before she jumps forward = 0
V = velocity of the girl forward = 1.32
v = velocity of the skateboard afterward = ?
Using conservation of momentum
(M + m) V' = MV + m v
inserting the values
(53.4 + 3.55) (0) = (53.4) (1.32) + (3.55) v
v = - 19.86
Explanation:
Law of conservation of momentum states that in an isolated system when two objects collide with each other then total momentum before and after the collision is equal.
Thus, we can conclude that the law of conservation of momentum states that the total momentum of interacting objects does not change. This means the total momentum before a collision or explosion is equal to the to momentum after a collision or explosion.