Two blocks a and b of masse 4kg and 12 kg are placed on a smooth horizontal plane a force f of 16n is applied on a, as shown, then the contact force between the blocks is
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Given: Two blocks a and b of masse 4kg and 12 kg are placed on a smooth horizontal plane a force f of 16n is applied on a
To find: contact force between the blocks
Solution: the only external force acting on the blocks is 16N
Therefore, we can say that
Acceleration of the whole system= net external force/ total mass
A = F/ m1+m2
A = 16/ (12+4)
A = 1m/s^2
According to the free body diagram of block a we can say that
16N force and the contact force will act on opposite directions
we can write the equation as
F - N = ma
here F will be the external force that is of 16N, N will be the contact force, a is the acceleration
16 - N = 4×1
N = 12N
Therefore, the contact force between the blocks will be of 12N.
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