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Standard XII

Physics

Applying NLM along 3 Axis

Two cars init...

Question

Two cars initially at rest are free to move in the $x$ direction. Car $A$ has mass $4 k g$ and car $B$ has mass $2 k g$ . They are tied together, compressing a spring in between them. When the spring holding them together is burned, car $A$ moves off with a speed of $2 m / s$ . With what speed(in m/s) does car $B$ leave?

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Solution

Force on both cars due to spring would be the same. Therefore if the acceleration of car A is an at any instant due to spring.then the acceleration of car B would be 2a (a=F/m and mass of A=2 x mass of B). Therefore the speed of car B would be twice that of car A.
Hence the speed of car B is $4 m / s$

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Two cars initially at rest are free to move in the x direction. Car A has mass 4kg and car B has mass 2kg. They are tied together, compressing a spring in between them. When the spring holding them together is burned, car A moves off with a speed of 2m/s. With what speed(in m/s) does car B leave?

Force on both cars due to spring would be the same. Therefore if the acceleration of car A is an at any instant due to spring.then the acceleration of car B would be 2a (a=F/m and mass of A=2 x mass of B). Therefore the speed of car B would be twice that of car A.Hence the speed of car B is 4m/s