Physics Test 22...

Water drops fall at regular intervals from a leaking water tap 20 m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. The height of the second drop above the ground at that instant is (take g = 10 m/s²)

A point P is moving in uniform circular motion with radius 3m. Let at some instant the acceleration of the point is  the position vector is The correct statement is

A Merry-go-round, made of a ring-like platform of radius R and mass M, is revolving with angular speed ω . A person of mass M is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is

Three blocks of masses 10 kg, 6 kg and 4 kg lie on a frictionless horizontal surface. The masses are connected together by light strings. A string attached to 4 kg block pulls the three blocks horizontally. If the system of blocks is accelerated at 0.5 m/s², the tension in the string connecting the 4 kg and 6 kg blocks is

The maximum velocity (in m/s) with which a car driver can safely take a circular turning of radius 100 m along a level road without skidding is (coefficient friction between tyre and road = 0.4):

A man pushes a 100 N box a distance of 6.0 m upward along a frictionless slope that makes an angle of 30° with the horizontal. The force exerted by him is parallel to the slope. If the speed of the box remains constant, the work done by the man is

Statement 1: An astronaut experiences weightlessness in a space satellite.

Statement 2: This because the gravitational force is small at that location in space.

A small block of mass 200 g is placed on a horizontal slab at a height of 2 m above the floor. The block is pressed against a horizontal spring fixed at one end to compress the spring through 10.0 cm. Upon releasing, the block moves horizontally till it leaves the spring. Calculate the horizontal distance covered by the block after leaving the slab and just before hitting the ground. The spring constant is 50 N/m.

(Assume g = 10 m/s²).

The linear momentum of a sphere of mass of 2.0 kg varies with time t as P = 3t² + 4, where P and t are in S.I. units. It follows that the sphere moving with a: