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A sphere of diameter is cut from a solid sphere of radius such that the centre of mass of remaining part be at maximum distance from original centre, then this distance is :
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Important Questions on Centre of Mass, Momentum and Collisions
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In the molecule, the separation between the nuclei of the two atoms is about . The approximate location of the centre of mass of the molecule, assuming the chlorine atom to be about times massive as hydrogen, is
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A man is standing on a trolley of mass on a smooth surface. If a man starts walking on a trolley along rails at a speed of , then after , his displacement relative to the ground is
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A neutron makes a head on elastic collision with a stationary deuteron. The fractional energy loss of the neutron in the collision is :-
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A cricket bat is cut at the location of its centre of mass as shown. Then
HARD
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If linear density of a rod of length varies as, then the position of the centre of gravity of the rod is
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A body of mass makes an elastic collision with another body at rest and continues to move in the original direction but with one-fourth of its original speed . What is the mass of the other body and the speed of the centre of mass of two bodies?
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A uniform rod of length is bent at its midpoint to make angle. The distance of the centre of mass from the centre of the rod is
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Assertion : Kinetic energy of a body becomes four times, when its linear momentum is doubled.
Reason : This is because, K.E. = p2 /2m.
