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Q.

Two blocks of masses 10 kg and 20 kg are connected by a light spring as shown. A force of $200 N$ acts on the 20 kg mass as shown. At a certain instant the acceleration of 10 kg mass is $12 {ms}^{- 2}$ towards right direction.

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a

At that instant, the 20 kg mass has an acceleration of $12 {ms}^{- 2}$ .

b

At that instant, the 20 kg mass has an acceleration of $4 {ms}^{- 2}$

c

The stretching force in the spring is $120 N .$

d

none of these

answer is B, C.

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Detailed Solution

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Let $F_{s}$ be the spring force
For $20 kg$ mass, $200 - F_{s} = 20 a_{1}$
For $10 kg$ mass, $F_{s} = 10 a_{2}$
Given $a_{2} = 12 m s^{- 2}$
Therefore, $F_{s} = 120 N, a_{1} = 4 m s^{- 2}$ Option (a) is wrong, option (b) is correct.
Option (c) is correct. Option (d) is wrong.

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