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Motion of the Centre of Mass...

Motion of the Centre of Mass

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Two bodies A and B initially at rest are attrached towards each other due to gravitation. Given that A is much heavier. Than B . Which of the followings correctly describes the relative motion of the centre of mass of the bodies ?

A juggler juggles three balls in a continuous cycle. Any one ball is in contact with his hand for one-fifth of the time. Describe the motion of the centre of mass of the three balls. What average force does the juggler exert on one ball while he is touching it?

A man inside a freely falling box throws a heavy ball towards a side wall. The ball keeps on bouncing between the opposite walls of the box. We neglect air resistance and friciton. Which of the following figures depicts the motion of the centre of mass of the entire system (man, the ball and the box)?

In a certain (2/5) th of the energy of molecules is associated with the ratation of molecules and the rest of it is associated with the motion of the centre of mass. (a) What is the average translational energy of one such molecule when the temperature id 27^@ C ? (b) How much energy must be supplied to one mole of thsi gas constant volume to raise the temperature by 1^@ C ?

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