Laws of MotionHard

Question

Two blocks are in contact on a frictionless table. One has mass m and the other 2m. A force F is applied on 2m as shown in the figure. Now the same force F is applied from the right on m. In the two cases respectively, the ratio of force of contact between the two blocks will be :

Options

A.same
B.1 : 2
C.2 : 1
D.1 : 3

Solution


F − N = 2 ma,        [Newton′s II law for block A]
N = ma           [Newton′s II law for block B]

N = 2 ma       [Newtons II law for block A]
F − N = m2a        [Newtons II law for block B]
⇒    N = 2F/3  so the ratio is 1 : 2

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