How much work does it take to raise a 23 kg weight 11 m ?

1 Answer
Apr 1, 2017

W = 2479.4 J

Explanation:

"Work" is formulated by:

W = F*d*cos(theta)

Where
F="force"
d="displacement", and
(theta)="angle between the force and the displacement vector"

In this scenario, a "force" is being applied to an object to cause it to be displaced. Therefore, work was done on the object.

Since the angle between the force (the mass times acceleration due to gravity) and the displacement (11 meters) is 0^@, and the cosine of 0^@ is 1, we can calculate the work done to raise the object as follows,

W = F*d*cos(theta)
W = (m*g) *d*cos(theta)
W = (23kg * 9.8 m/s^2) * 11m*cos(0^@)
W = 2479.4 J

Answer: 2479.4 J