Maria does 500 Newton-meters of work moving books from one table to another. The total force is 100 Newtons. How far were the bo

Question

3 years ago

9

oks moved?

1 answer:

Mazyrski [523] · Answer 1 · 2022-06-14T05:13:21+03:00

The displacement of the book is 5 meters

Explanation:

The work done by a force when moving an object is given by:

$W=Fd cos \theta$

where :

F is the magnitude of the force

d is the displacement

$\theta$ is the angle between the direction of the force and the displacement

In this problem, we have:

W = 500 J is the work done by Maria

F = 100 N is the force applied by Maria

$\theta=0^{\circ}$ , assuming the direction of the force is parallel to the displacement

So we can rearrange the equation to solve for d, the displacement:

$d=\frac{W}{F cos \theta}=\frac{500}{(100)(cos 0)}=5 m$

So, the book was moved 5 meters.

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