A batsman hits back a ball straight in the direction of the bowler without changing its speed of `12 m s^(-1)`. If the mass of the ball is 0.15 kg, determine the impulse imparted to the ball.

A batsman deflects a ball by an angle of 45^@ without changing its initial speed which is equal to 54 km//h . What is the impulse imparted to the ball ? (Mass of the ball is 0.15 kg.)

A player throws a ball upwards with an initial speed of 29.4 m s^-1 :- What is the direction of acceleration during the upward motion of the ball ?

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed 6 m s^-1 collide and rebound with the same speed. What is the impulse imparted to each ball due to the other ?

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m s^-1 . How much time does the ball take to return to his hands? If the lift starts moving up with a uniform speed of 5 m s^-1 and the boy again throws the ball up with the maximum speed he can, how long does the ball take to return to his hands ?

A circular disc of mass 10 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5 s. The radius of the disc is 15 cm. Determine the torsional spring constant of the wire. (Torsional spring constant alpha is defined by the relation J = -alphatheta , where J is the restoring couple and 0 the angle of twist).

In a chamber, a uniform magnetic field of 6.5 G (1 G = 10^-4 T) is maintained. An electron is shot into the field with a speed of 4.8 xx 10^6 m s^-1 normal to the field. Explain why the path of the electron is a circle. Determine the radius of the circular orbit. (e = 1.5 xx 10^-19 C. m_e= 9.1x10^-31 kg)

What is the de-Broglie wavelength of a ball of mass 0.060 kg moving at a speed of 1.0 m/s.

Tire ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m s^-1 can go without hitting the ceiling of the hall ?