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A block A of mass 4 kg is placed on anot...

A block A of mass 4 kg is placed on another block B of mass 5 kg , and the block B rests on a smooth horizontal table . For sliding block A on B , a horizontal force of 12 N is required to be applied on A How much maximum force can be applied on B so that both A and B move togrther ? Also find out acceleration produced by this force .

A

15 N

B

25 N

C

27 N

D

48 N

Text Solution

Verified by Experts

The correct Answer is:
A

`a_("system") = (12)/(9) =(4)/(3) m//s^(2)`
`implies f_(1) = mu 4 g = 5 xx (4)/(3) implies mu = (1)/(6)`
`f_("max", 5kh) = (m_(A) + m_(B)) mu g = 9 xx (1)/(6) xx 10 = 15 N`
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