Gravitational PE — Prelims Questions

A $2,\text{kg}$ object is lifted from the ground to a height of $5,\text{m}$. What is the change in its gravitational potential energy? (Take $g = 9.8,\text{m/s}^2$)

An object of mass 'm' is projected vertically upwards with an initial velocity 'v'. Neglecting air resistance, what is its gravitational potential energy at its maximum height 'H' relative to the projection point?

Two masses, $M$ and $m$, are separated by a distance $r$. If the distance between them is doubled, how does their gravitational potential energy change?

A satellite of mass $m$ orbits the Earth (mass $M_E$, radius $R_E$) at a height $h$ above its surface. What is its gravitational potential energy?

An object is released from rest at a height $H$ above the ground. If air resistance is negligible, what percentage of its initial gravitational potential energy is converted into kinetic energy when it has fallen to a height $H/2$?

Which of the following statements about gravitational potential energy is INCORRECT?