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Q.

The rear side of a truck is open and a box of mass 20 kg is placed on the truck 4 m away from the open end. μ=0.15 and g = 10 m/s2. The truck starts from rest with an acceleration of 2 m/s2 on a straight road. The box will fall off the truck when it is at a distance from the starting point equal to x meter. Find value of x.

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answer is 16.

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Detailed Solution

Maximum acceleration of the box can be μg or 1.5m/s2, while acceleration of truck is 2m/s2. Therefore relative acceleration of the box will be ar=0.5m/s2 (backward) . It will fall off the truck in a time.t=2lar s=12at2=2×40.5=4sDisplacement of truck upto this instant is,sr=12art2=12×2×(4)2=16m
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The rear side of a truck is open and a box of mass 20 kg is placed on the truck 4 m away from the open end. μ=0.15 and g = 10 m/s2. The truck starts from rest with an acceleration of 2 m/s2 on a straight road. The box will fall off the truck when it is at a distance from the starting point equal to x meter. Find value of x.