Question

A force of 55 pounds is exerted along a rope attached to a crate at an angle of 30o above the horizontal. The crate is moved 32 feet. How much work has been accomplished? Round answer to one decimal place.

Answer 1

Use the idea that Work = Force * Displacement

Answer 2

more accurately...WORK = FORCE.DISPLACEMENT
it's the dot product of force vector and displacement vector...

Answer 3

how do i figure out which numbers go where in the formula?

Answer 4

The given force is 55 pounds and the displacement is 32 feet (since the object is moved 32 feet)

Answer 5

ok....you know about the DOT PRODUCT...???

Answer 6

@Savvy yes i know about the dot product... there is no need to make me feel bad for not knowing how to solve a problem

Answer 7

OMG...am soooo sorry i didn't mean that...

Answer 8

So the answer is just 1760 then? I figured it would be more complicated than that...

Answer 9

I think in this case, all you're doing is just multiplying the two numbers since I think that the force of 55 pounds is the force along the rope (and not the horizontal force)

Answer 10

if it is the horizontal force, then you'll be multiplying 55 by 32*cos(30), but I don't think that's the case here.

Answer 11

@Savvy maybe something got lost in translation on the internet. it's fine.

Answer 12

you can take the dot product....