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Maximum Push Using Friction

The rear side...

Question

The rear side of truck is open and a box of mass 50 kg is placed at 3.2 m away from the open end. The coefficient of friction between the box and the surface is 0.2. If the truck starts from rest and moves on a straight road with acceleration 2.1 $m s^{- 2}$ , the box falls off the truck after a time ( $g = 10 m s^{- 2}$ )

A

\frac{8}{\sqrt{41}}

s

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B

4

s

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C

8

s

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D

\sqrt{8}

s

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Solution

The correct option is D $8$ s
Acceleration due to slipping between box and surface, $a = 2.1 - (0.2 \times 10) = 0.1$
As, $t = \sqrt{2 s / a}; a = 0.1; s = 3.2 \Rightarrow t = 8 s e c$

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