A cricket ball of mass \(0.15~\text{kg}\) is thrown vertically up by a bowling machine so that it rises to a maximum height of \(20~\text{m}\) after leaving the machine. If the part pushing the ball applies a constant force \(F\) on the ball and moves horizontally a distance of \(0.2~\text{m}\) while launching the ball, the value of \(F\) (in N) is: (\(g = 10\) m/s²)
1. \(50\)
2. \(100\)
3. \(150\)
4. \(200\)

A particle moves unidirectionally on a horizontal plane, under a constant power-supplying energy source. The displacement-time \((s\text-t)\) graph that describes the motion of the particle is:
(graphs are drawn schematically and are not to scale)

1.		2.
3.		4.

A block of mass \(1.9~\text{kg}\) is at rest at the edge of a table, of height \(1~\text{m}\). A bullet of mass \(0.1~\text{kg}\) collides with the block and sticks to it. If the velocity of the bullet is \(20\) m/s in the horizontal direction just before the collision then the kinetic energy just before the combined system strikes the floor, is: [Take \(g = 10\) m/s² . Assume there is no rotational motion and loss of energy after the collision is negligible.]
1. \(21~\text{J}\)
2. \(23~\text{J}\)
3. \(20~\text{J}\)
4. \(19~\text{J}\)

A body of mass \(2\text{ kg}\) is driven by an engine delivering constant power \(1~\text{J/s}. \) The body starts from rest and moves in a straight line. After \(9\text{ s}, \) the kinetic energy of the body is:
1. \(4.5~\text{J}\)
2. \(9~\text{J}\)
3. \(13.5~\text{J}\)
4. \(18~\text{J}\)

Blocks with masses \(m,2m,4m\) and \(8m\) are arranged in a line on a frictionless floor. Another block of mass \(m,\) moving with speed \(v\) along the same line (see figure) collides with the first stationary block of mass \(m\) in a perfectly inelastic collision. All subsequent collisions are also perfectly inelastic. By the time the last block of mass \(8m\) starts moving, the total energy loss is \(p\%\) of the original energy. The value of \(p\) is closest to:

Two particles of masses \(4\) g and \(16\) g have equal kinetic energies. If the ratio of the magnitudes of their linear momenta is \(n : 2,\) what is the value of \(n\)?
1. \(4\)
2. \(3\)
3. \(2\)
4. \(1\)

A particle is moving along a circular path with a radius \(a,\) under the influence of an attractive force. The potential energy associated with the particle is given by: \(U=-\dfrac{k}{2r^2}.\)
The attractive force acting on the particle is:

In a collinear collision, a particle with an initial speed \(v_0\) strikes a stationary particle of the same mass. If the final total kinetic energy is \(50\%\) greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is:
1. \(\frac{{v_0}}{4}\)
2. \(\sqrt{2}{v_0}\)
3. \(\frac{{v_0}}{2}\)
4. \(\frac{{v_0}}{\sqrt{2}}\)

A ball will a speed of \(9\) m/s collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of \(30^\circ\) with the original direction. The ratio of velocities of the balls after collision is:
1. \(1:1\)
2. \(2:1\)
3. \(1:3\)
4. \(1:2\)

Given below are two statements: