NEET Physics Systems Of Particles And Rotational Motion MCQs

A dog of mass $m$ stands at one end of a flat boat of mass $M$ and length $L$ at rest on a frictionless surface of a lake. The dog walks to the other end of the boat and stops. The displacement of the center of mass of the boat-dog system is:

A man of mass M stands at one end of a plank of mass m and length L, which lies on a smooth horizontal surface. The man walks to the other end of the plank. What is the displacement of the plank?

A bomb explodes in mid-air into two equal fragments. Which statement is true about the center of mass of the system after the explosion?

A man of mass M stands at one end of a plank of mass m and length L, lying on a smooth horizontal surface. The man walks to the other end of the plank. The distance moved by the plank with respect to the ground is:

A cannon shell lands 2 km away from the cannon. A second shell, fired identically, breaks into two equal parts at the highest point. One part falls vertically. How far from the cannon will the other land ?

An isolated particle of mass m is moving in a horizontal plane (x-y), along the x-axis, at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragment is at $y = + 15$ cm. The larger fragment at the instant is at

A loded spring gun of mass M fires a shot of mass m with a velocity v at an angle of elevation $heta$. The gun was initially at rest on a horizontal frictionless surface. After firing, the centre of mass of gun-shot system

2 bodies of different masses of 2 kg and 4 kg are moving with velocities 20 m/s and 10 m/s towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass

A thick uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. It mass is 0.16 kg and length is 1.7 m. Two particles each of mass 0.08 kg are moving on the same surface and towards the bar in the direction perpendicular to the bar, one with a velocity of 10 ${\rm{m}}{{\rm{s}}^{ - 1}}$ and other with velocity 6 ${\rm{m}}{{\rm{s}}^{ - 1}}$. If collision between particles and bar is completely inelastic, both particles strike with the bar simultaneously. The velocity of centre of mass after collision is

A thick uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. It mass is 0.16 kg and length is 1.7 m. Two particles each of mass 0.08 kg are moving on the same surface and towards the bar in the direction perpendicular to the bar, one with a velocity of 10 ${\rm{m}}{{\rm{s}}^{ - 1}}$ and other with velocity 6 ${\rm{m}}{{\rm{s}}^{ - 1}}$. If collision between particles and bar is completely inelastic, both particles strike with the bar simultaneously. The velocity of centre of mass after collision is