While leaning out a window that is 5.8 m above the ground, you drop a 0.60 kg basketball to a friend at ground level. Your friend catches the ball at a height of 1.0 m above the ground. Determine the following.

(a)the amount of work done (in J) by the force of gravity on the ball J

(b)the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is released J

(c)the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is caught J

(d)the ratio of the change (PE_f PE₀) in the gravitational potential energy of the ball-earth system to the work done on the ball by the force of gravity