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Polishing Surfaces in Contact to Change Friction

Acceleration ...

Question

Acceleration of block A varies with time as shown in figure the value of coefficient of kinetic friction between the block A and B is

0.5

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0.6

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0.4

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None of these

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Solution

The correct option is A 0.5
Given: acceleration of block A varies with time as shown in figure
To find the value of coefficient of kinetic friction between the block A and B
Solution:
Force is applied on block B. The moment when the block A starts sliding is the moment when the applied force F is greater than the frictional force between the two blocks.
Apply Newton's Second law of motion we get
$m a_{A} = μ g m ⟹ a_{A} = μ g ⟹ 4.9 = μ (9.8) ⟹ μ = 0.5$
is the value of coefficient of kinetic friction between the block A and B

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