MEDIUM
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IMPORTANT
Earn 100
Find the position of the centre of mass from the base for a solid hemisphere of radius .
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Important Questions on Centre of Mass, Momentum and Collisions
MEDIUM
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IMPORTANT
A bullet of mass moving horizontally with a velocity of strikes a wooden block of mass which is suspended by a light inextensible string of length . As a result, the centre of gravity of the block found to rise a vertical distance of . The speed of the bullet after it emerges out horizontally from the block will be
MEDIUM
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IMPORTANT
Two identical balls A and B having velocities of 0.5 m/s and – 0.3 m/s respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be :-
EASY
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A wagon of 20 metric ton moves with 10 m/s and collides perfectly inelastically with stationary wagon of 60 metric ton. Find loss of kinetic energy.
EASY
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IMPORTANT
A proton of mass collides with a heavy particle at rest. After collision proton bounces back with of its initial kinetic energy. The collision is perfectly elastic. Find the mass of the heavy particle.
MEDIUM
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IMPORTANT
A moving block having mass collides with another stationary block having mass The lighter block comes to rest after collision. When the initial velocity of the lighter block is , then the value of the coefficient of restitution will be
MEDIUM
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IMPORTANT
A body of mass metric tons moving with velocity collides head-on with another body of mass metric tons at rest. If they combine just after collision then calculate the loss in after the collision.
HARD
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IMPORTANT
The total mass of the cart is metric tons in which metric tons of sand is loaded. The system is initially at rest. The sand leaks out of the cart (from the hole at the bottom) at the rate of and an external horizontal force of is acting on it. The final velocity of the cart when the sand completely leaks out is
HARD
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IMPORTANT
A solid cylinder of mass and radius rolls without slipping down an inclined plane of length and height . What is the speed of its centre of mass when the cylinder reaches its bottom?
