The mass of a steel wrecking ball is 1.50 E3 kg. What power is used to raise it to a height of 40.0 m if the work is done in 20.0 seconds.

There are no choices and I have to show my work but I don't know how.

Given,

Mass of the ball (m) = 1.50 x 10³ kg = 1500 kg

Height raised = Displacement of the ball (D) = 40.0 m

Time taken (t) = 20 seconds

Power = Work done (W) : time taken (t)

Work done (W) = Force (F) x Displacement (D)

Force (F) = Mass (m) x Acceleration due to gravity (g)

Acceleration due to gravity for earth (g) = 9.81 m/s²

Therefore,

Force (F) = 1500 x 9.8 = 14715 N

Work done = Force x Displacement = 14715 x 40 = 588600 Joules

Now,

Power = Work done : time taken = 588600 : 20 = 29430 Watts