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

1 Answer
Apr 1, 2017

Answer:

#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