A 25 N force was applied to a 6 kg toy cart, causing it to accelerate to the rig...

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January 2022 1 12 Report

A 25 N force was applied to a 6 kg toy cart, causing it to accelerate to the right. If the toy cart encounters a 10 N frictional force, compute its acceleration.

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Tokamak

$\tt{\huge{\blue{Explanation:}}}$

The acceleration of an object is given by

$\boxed{a = \frac{F_{net}}{m}}$

where:

$F_{net} =$ net force

m = mass

a = acceleration

$\tt{\huge{\red{Solution:}}}$

Solving for the net force

$F_{net} = F_{applied} - F_{friction}$

$F_{net} = \text{25 N} - \text{10 N}$

$F_{net} = \text{15 N}$

Solving for the acceleration

$a = \dfrac{F_{net}}{m}$

$a = \dfrac{\text{15 N}}{\text{6 kg}}$

$\boxed{a = \text{2.5 m/}\text{s}^{2}}$

Therefore, the acceleration of the toy cart is 2.5 m/s².

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