Question

A object of mass 33 is dropped from a height of 85 meters. Calculate the average power developed by the object in falling through this distance.

Take g as 9.81 m/s^2

give the answer in watts to three significant figures

Answer 1

Power = Work done / Time taken.

Work done = mgh
Mass, m = 33kg ( Am presuming it is 33 kg).
h = 85 m.
Work done = 33 * 9.81* 85 = 27517.05 J.

Time taken.
Since object was dropped from height, it fell under gravity.
Using H = ut + (1/2) * gt^2. u = 0.
H = 1/2 gt^2.
t = (2H/g) ^ (1/2)
t = (2*85/9.81) ^ 0.5 = 4.1628 s.

Power = 27517.05 / 4.1628 = 6610.23 Watts.
= 6610 W to 3 S. f.