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Question

A box of mass 2kg is placed on the roof of a car. The box would remain stationary until the car attains a maximum acceleration. The coefficient of static friction between the box and the roof of the car is 0.2 and g=10ms-2. The maximum acceleration of the car, for the box to remain stationary, is


A

8ms-2

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B

6ms-2

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C

4ms-2

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D

2ms-2

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Solution

The correct option is D

2ms-2


Step 1. Given data

Mass of the body, m=2kg

The coefficient of static friction, μ=0.2

Step 2. Finding the maximum acceleration, a

For the box to remain stationary, the applied force, F is equal to the frictional force, Fr

F=Fr

ma=μmg [Where, g=10ms-2]

a=0.2×10

a=2ms-2

Hence, the correct option is D.


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