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Question

Physics Question on Motion in a straight line

Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is 0.15 (g=10ms-2).

A

150 ms-2

B

1.5 ms-2

C

50 ms-2

D

1.2 ms-2

Answer

1.5 ms-2

Explanation

Solution

The correct option is (B): 1.5 ms-2

Fs=maF_s=ma

fL=mamaxf_L=ma_{max}

μmg=mamax\mu\,mg=ma_{max}

amax=μga_{max}=\mu g

=0.15(10)=0.15(10)

=1.5m/s2=1.5\,m/s^2