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# Problem: A 30.0 kg- box is being pulled across a carpeted floor by a horizontal force of 230 N, against a friction force of 210 N . a. What is the acceleration of the box? b. How far would the box move in 3 s, if it starts from rest?

###### FREE Expert Solution

Newton's second law:

$\overline{){\mathbf{\Sigma }}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

We'll also use the Kinematic equation:

$\overline{){\mathbf{∆}}{\mathbf{x}}{\mathbf{=}}{{\mathbf{v}}}_{{\mathbf{0}}}{\mathbf{t}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{a}}{{\mathbf{t}}}^{{\mathbf{2}}}}$

a.

Using Newton's second law equation:

F - f = ma

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###### Problem Details

A 30.0 kg- box is being pulled across a carpeted floor by a horizontal force of 230 N, against a friction force of 210 N .

a. What is the acceleration of the box?

b. How far would the box move in 3 s, if it starts from rest?

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