. A rock is dropped from a high tower and falls freely under the influence of gravity. Which one of the following statements concerning the rock as it falls is true? Neglect the effects of air resistance.
(a) The rock will gain an equal amount of momentum during each second.
(b) The rock will gain an equal amount of kinetic energy during each second.
(c) The rock will gain an equal amount of speed for each meter through which it falls.
(d) The rock will gain an equal amount of momentum for each meter through which it falls.
(e) The amount of momentum the rock gains will be proportional to the amount of potential energy
that it loses.
gravity which is equal to 9.8 m/s^2 => I am using 10 m/s^2 for simplicity
The Attempt at a Solution
(A) yes, its possible
(B) no, its not possible
If I have a rock and i throw it from the second floor (4 meters from the ground), wouldn't the rock gain the same speed as it goes down each meter??? (lets assume is 10m/s^2 instead of 9.8 m/s ^2)
1 meter down and 1 second passes = 10 m/s
2 meter down and 2nd second passes = 20 m/s
3 meter down and 3rd second passes = 30 ms
so what I can see is that each second and each meter , the rock gains the same speed. So, it gains 10 m/s each meter and second down