Choose the correct statement$(s)$:
$(A)$ The position of the centre of mass of a system is dependent on the choice of coordinate system.
$(B)$ Newton's second law of motion is applicable to the centre of mass of the system.
$(C)$ Internal forces cannot change the state of the centre of mass.
$(D)$ Internal forces can change the state of the centre of mass.

  • A
    Both $(A)$ and $(B)$ are correct
  • B
    Both $(B)$ and $(C)$ are wrong
  • C
    Both $(A)$ and $(C)$ are wrong
  • D
    Both $(A)$ and $(D)$ are wrong

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In a system of particles,internal forces can change (for the system)

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Reason $(R):$ The linear momentum of an isolated system remains constant.

State Newton's second law for a system of particles.

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$A$ rope ladder with a length $l$ carrying a man with a mass $m$ at its end is attached to the basket of a balloon with a mass $M$. The entire system is in equilibrium in the air. As the man climbs up to the end of the ladder into the balloon,the balloon descends by a height $h$. Then the potential energy of the man:

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