Question

A 63 kg object needs to be lifted 7 meters in a matter of 5 seconds. Approximately how much horsepower is required to achieve this task?
A. 0.59 hp
B. 441 hp
C. 1.16 hp
D. 864.36 hp

Answer 1

To solve for power you can use this formula:

$p = \frac{mad}{t}$

Where: m = mass
             a  = acceleration
             d = distance
             t = time

Since the motion of the object is vertical, the acceleration of the object will be due to gravity. The acceleration due to gravity is 9.8 m /s^2.

So we can now solve for power:

$p = \frac{(63kg)(9.8m/ s^{2} )(7m)}{5s}$

P = 864.36 Watts

The question though is how much horsepower so we need to convert watts into horsepower. 

864.36 watts to hp is 1.159 hp or 1.16 hp the answer is C.