Question

A force is applied to push a cabinet 12 m across the floor. The work done is 1400 J. How much force was exerted to move the file cabinet?

Answer 1

$\huge!{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}$ 

We know that the formula ,

W = F s

F = W

---------

s

= $\frac{</strong><strong>1400</strong><strong> </strong><strong>J</strong><strong>}{</strong><strong>12</strong><strong> </strong><strong>m</strong><strong>}$

= 116.67 N

Answer 2

Answer:

116.67 Newtons of force are exerted to move the file cabinet.

Explanation:

First let's see the relationship between work, force, and distance.

$\mathrm{W=F.d}$             (1)

Where,

W= work done by the force to push the cabinet

F=force required to move the cabinet

d=distance to which the cabinet is moved

From the question we have;

The distance to which the cabinet is moved(d)=12 m

The work done in moving the cabinet(W)=1400 J

By inserting the values of "W" and "d" in equation (1) we get;

$\mathrm{1400=F\times 12}$

$\mathrm{F=\frac{1400}{12} }$

$\mathrm{F=116.67\ N}$

So, 116.67 Newtons of force are exerted to move the file cabinet.

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