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Question

A truck of mass 200 kg is moved under a force of 1000 N on a smooth surface. On a rough surface, the truck experiences a frictional force of 200 N offered by the road. Find the percentage change in the acceleration.

A
-20%
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B
-10%
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C
25%
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D
50%
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Solution

The correct option is A -20%
The acceleration of the truck on the smooth surface is as follows:
a1 = Fm1000200 = 5 ms2
The net force acting on the truck on the rough surface is,
Fnet = 1000 - 200 = 800 N
The acceleration of the truck on the rough surface is as follows:
a2 = Fnetm800200 = 4 ms2
Thus, the percentage change is as follows:
% change = a2a1a1 x 100% ⇒455 x 100% = -20%
The negative sign indicates that there is a reduction in acceleration.

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