please check my answers.

20. does the international space station have gravitational pe? ke? explain?
-It has gravitation pe.
I thought that Gravitational potential energy is the energy stored in an object as the result of its vertical position or height?

30.a moving hammer hits a nail and drives it into a wall. if the hammer hits the nail with twice the speed, how much deeper will the nail be driven? if it hits with three times the speed?

work = velocity^2
force*distance=velocity^2
distance is proportional to velocity^2
so what is twice square?

would it be 4 times?

20. In the case of the International Space Station (ISS), it does not have gravitational potential energy (PE) as it is constantly in a state of freefall around the Earth. Gravitational potential energy is associated with height or vertical position, but since the ISS is in orbit, it essentially follows a curved path around the Earth, continuously falling toward it. Therefore, the ISS does not experience a change in vertical position that would result in gravitational potential energy.

30. When a moving hammer hits a nail and drives it into a wall, the depth to which the nail is driven is directly related to the work done by the hammer. The work, in turn, is related to the velocity (speed) at which the hammer hits the nail.

If the hammer hits the nail with twice the speed, the depth to which the nail will be driven is not simply twice as deep. The work done by the hammer is actually proportional to the square of the velocity.

So, if the velocity is doubled, the work done will be four times greater (2^2 = 4). This means that the nail will be driven four times deeper into the wall.

Similarly, if the hammer hits the nail with three times the speed, the work done will be nine times greater (3^2 = 9). Therefore, the nail will be driven nine times deeper into the wall.

To summarize, the depth to which a nail is driven is proportional to the square of the velocity at which it is struck. So, doubling the velocity results in four times the depth, and tripling the velocity results in nine times the depth.