MOTION IN A PLANE Set 2

A ball is projected with kinetic energy at an angle of to the horizontal. At the highest point during its flight, its kinetic energy will be

A bullet fired at an angle of with the horizontal hits the ground 3 km away. By adjusting its angle of projection, one can hope to hit a target 5 km away. Assume the muzzle speed to be same and the air resistance is negligible

A particle undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particle remain conserved?

When a ceiling fan is switched on, it makes 10 rotations in the first 4 s. How many rotations will it make in the next 4 s? (Assuming uniform angular acceleration)

The adjacent sides of a parallelogram are represented by co-initial vectors 2 and . The area of the parallelogram is

A body of mass thrown horizontally with velocity , from the top of tower of height touches the level ground at distance of 250 m from the foot of the tower. A body of mass thrown horizontally with velocity , from the top of tower of height will touch the level ground at a distance from the foot of tower. The value of is

For an object thrown at to horizontal, the maximum height and horizontal range (R ) are related as

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following

For a particle in uniform circular motion the acceleration a at a point on the circle of the radius R is (here is measured from the axis)

A body is thrown with a velocity of making an angle of with the horizontal. It will hit the ground after a time