A box of mass 2 kg is placed on the roof of a car. The box would remain stationary untill the car attains a maximum acceleration. Coefficient of static friction between the box and the roof of the car is 0.2 and g = `10 ms^(-2)`. This maximum acceleration of the car, for the box to remain stationary, is

Options

A. `8ms^(-2)`
B. `6ms^(-2)`
C. `4ms^(-2)`
D. `2ms^(-2)`

Answer

D

Explanation

For the box to remain stationary
`ma_("max")=mu_(s)mg`
`a_("max")=mu_(s)g=0.2xx10ms^(-2)=2ms^(-2)`