Question

While moving, jacob pushes a dolly up a ramp with a constant force of 55 N. if the ramp has an incline of 20 degrees with the horizontal, what amount of work(in joules) will jacob have to do to push the dolly 20 meters.

Answer Choices:
A) about 1034 joules
B) about 376 joules
C) about 354 joules
D) about 1100 joules

Answer 1

A) about 1034 joules

Explanation:

Work
`W` is defined as force times distance:

`W=F*d`

To find out how much work Jacob will do in pushing the dolly 20 meters horizontally, we fist need to figure out the horizontal component
`F_x` of the force:

`F_x = F*cos(20^o)\\\\F_x= 55*cos(20^o)`

`F_x= 51.68N`

Now the work done is

`W = F_x*d\\W= 51.68*20 \\\\\boxed{W= 1033.662\:Joules}`

which is approximately 1034 joules, and it is Choice A.