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The rear side of a truck is open and a box of 40 kg mass is placed 5m a way from the open end. Coefficient of friction between the box and surface below it is 0.15. On a straight road, the truck starts from rest and accelerated with $2 {ms}^{- 2}$ At what distance from starting point, does the box fall off the truck ?

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3 m

20 m

5 m

30 m

answer is B.

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Detailed Solution

$t = \sqrt{\frac{2 s}{a_{net}}} = \sqrt{\frac{2 s}{(a_{truck} - μg)}} = \sqrt{\frac{2 \times 5}{(2 - 1.5)}} = \sqrt{20}$

$s_{truck} = \frac{1}{2} a_{truck} t^{2} = 20 m$

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