A block starts moving up an inclined plane of inclination ${30}^{\circ }$ with an initial velocity of $v_0$

It comes back to its initial position with velocity $\frac{v_0}{2}$   . The value of the coefficient $\frac{v_0}{2}$ kinetic friction between the block and the inclined plane is close to $\frac{1}{1000}$ , The nearest integer to ^$I$  is             .

A mass of 1 kg is suspended by a thread. It is lifted up with an acceleration of 4.9 ms^–2, and then lowered with an acceleration of 4.9 ms^–2 . The ratio of tensions in first case to second cases is (g = 9.8 ms^–2 )

Ball released from height 10 m strikes ground and rebounds height 5 m. Find impulse imparted by ground while collision, given mass of ball is 100 g. (Take g = 10 m/s²)

A ball is projected from ground with initial momentum p at an angle q. What is the magnitude of net change in linear momentum when it reaches at maximum height of journey?

When an elevator is moving downward with a increasing speed, the apparent weight of a body inside elevator

An insect of mass m = 2 g is inside a vertical drum of radius 1 m that is rotating with an angular velocity of 10 rad/s. If the insect does not fall off then the minimum coefficient of friction is