Motion in a Pla...

In above question, if the centripetal force F is kept constant but the angular velocity is doubled, the new radius of the path (original radius R) will be

A small body of mass m slides down from the top of a hemisphere of radius r. The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is

A body of mass m kg is rotating in a vertical circle at the end of a string of length r m. The difference in the kinetic energy at the top and the bottom of the circle is

A car is travelling with linear velocity t’ on a circular road of radius r. If it is increasing its speed at the rate of \'a’ m/s², then the resultant acceleration will be

A ball of mass 0.1 kg is suspended by a string. It is displaced through an angle of 60 and left. When the ball passes through the mean position, the tension in the string is

An aeroplane moving horizontally at a speed of 200 m/s and at a height of 8.0 x 10³ m is to drop a bomb on a target. At what horizontal distance from the target should be bomb be released

A particle is projected with a velocity u such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where g is acceleration due to gravity)

A man standing on the roof of a house of height h throws one particle vertically downwards and another particle horizontally with the same velocity u. The ratio of their velocities when they reach the earth’s surface will be

A ball of mass m is thrown vertically upwards. Another ball of mass 2m is thrown at an angle H with the vertical. Both of them stay in air for same period of time. The heights attained by the two balls are in the ratio of

A body of mass m is projected at an angle 45^o with the horizontal. If air resistance is negligible, then total change in momentum when it strikes the ground is