Physics Test 82...

A cone of mass m and height H is completely filled with a liquid of same mass. The height of centre of mass of the system from the base is :-

Two particles A and B of mass 1 kg and 2 kg are projected in the directions shown in figure with speeds  and . Initially they were 90 m apart. The acceleration of their centre of mass is

(g = 10 m/s²)

Mass is non-uniformly distributed on the circumference of a ring of radius r and centre at origin. If a is the distance of centre of mass of ring from origin, then :-

From a rectangular plate of uniform thickness a small rectangular plate is removed as shown. The new position of centre of mass of remaining plate is :-

A man of mass 10 kg is standing on a stationary platform of mass 40 kg placed on a smooth horizontal surface. The man starts moving on the platform with a velocity 50 m/s relative to platform. The recoil speed of platform is :-

Two particles collides directly and bounces as shown. If coefficient of restitution is 'e', then correct equation from Newton's law of restitution is :

Three particles of same masses moving with velocities ,  and  collides perfect inelastically and becomes a single particle. The speed of resultant particle after collision is :-

A ball of mass 2 kg falling vertically downwards strikes the ground with a speed 10 m/s. If coefficient of restitution is e = 1/2 the impulse given by the ground to the ball is :- 

A moving sphere collides inelastically with another identical sphere initially at rest. If e = 1/4, the ratio of speed of both the spheres after collision is :

A bullet of mass 20 g moving horizontally with a speed of 500 m/s strikes a stationary wooden block of mass 10 kg as shown. The bullet emerges out of the block with a speed of 100 m/s. If coefficient of friction between the block and the surface is 0.4, what is the distance covered by the block before coming to rest?