Question

Word problem on direct variation

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on a certain object, the acceleration
of the object is 2 m/s². If the acceleration of the object becomes 9 m/s², what is the force?
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Answer 1

90 N

Explanation:

You want the force that causes an acceleration of 9 m/s² if 20 N causes an acceleration of 2 m/s².

Proportion

The "direct variation" means that when the acceleration increases by a factor of 9/2 from 2 to 9, the force required increases by the same factor:

(20 N)×(9/2) = 90 N

If the acceleration is 9 m/s², the acting force is 90 N.

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