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

Respuesta :

To solve for power you can use this formula:

[tex]p = \frac{mad}{t} [/tex]

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:

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

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. 

Answer:

C. 1.16 hp

Explanation: hope this helps ;)