Block A of mass m A is placed on block B of mass m B ( m B m A ). There is friction between the blocks, while the ground is smooth. A horizontal force P increasing linearly with time acts on

Question

Block A of mass m A ​ is placed on block B of mass m B ​ ( m B ​ > m A ​ ). There is friction between the blocks, while the ground is smooth. A horizontal force P increasing linearly with time acts on A, as shown. After slipping begins between A and B, the acceleration of the lower block B: Assume the coefficient of kinetic friction μ k ​ between A and B is constant once slipping begins.

TestHub · Accepted Answer

Once slipping begins, the kinetic friction on B due to A is constant: $f_{k} = μ_{k} m_{A} g .$

The ground is smooth, so this friction is the only horizontal force on B.

Therefore $a_{B} = \frac{μ _{k} m _{A} g}{m _{B}},$ which is constant after slipping begins.

Hence the correct option is B.

Physics - NLM Question with Solution | TestHub

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