Determine Her Final Speed at the Top

1) A basketball player throws a basketball m = 1 kg straight up with an initial speed of v0 = 7.5 m/s. The ball leaves his hand at shoulder height h0 = 1.95 m. Let gravitational potential energy be zero at ground level.

a) Write an expression for the ball's total mechanical energy, Em, in terms of its maximum height, hm.

b) What is the height, hm in meters?

2) A 60-kg skier with an initial speed of 16 m/s coasts up a 2.50-m high rise as shown in the figure.

a) Find her final speed at the top in m/s, given that the coefficient of friction between her skis and the snow is 0.08.