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A block of mass 1 kg lies on a horizonta...

A block of mass 1 kg lies on a horizontal surface in a truck. The coefficient of static friction between the block and the surface is 0.6. If the acceleration of the truck is `5m//s^2`, the frictional force acting on the block is…………newtons.

Text Solution

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The force on the block due to acceleration of the truck will be opposite to the acceleration of truck and will be
`F = ma = 1 xx 5 = 5 N " " `(i)
while the limiting friction ,
`f_(L) = mu_(S)R = mu_(S) "mg" = 0.6 xx 1 xx 9.8 = 5.88 N`
As the applied force F is lesser than limiting friction `f_(L)` , the block will remain at rest in the truck and force of friction will be equal to applied force 5N (and not `f_(L)`) in the direction of acceleration of the truck .
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