A and B are two particles having the same mass m. A is moving along X-axis with a speed of 10ms^(-1) and B is at rest. After undergoing a perfectly elastic collision with B, particle A gets scattered through an angle of 30^(@). What is th edirection of motion of B, and the speeds of A and B, after the collision?

A railway carriage of mass 9,000 kg moving with a speed of 36 km h^-1 strikes a stationary carriage of same mass. After the collision, the carriages get coupled and move together. what is their common speed after collision? Is the collision elastic?

A particles A with mass m_A is moving with velocity v and hits a particle B (mass m_B) at rest (one dimensional motion) find change in the de-Broglie wavelength of the particle A. Treat the collision as elastic.

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h^-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period Tof the bus service and with what speed (assumed constant) do the buses ply on the road?

A ball of mass m, moving with a speed 2v_0 collides inelastically (e>0) with an identical ball at rest. Show that For a general collision, the angle between the two velocities of scattered balls is less than 90^@ .

A moving ball of mass m undergoes a head - on elastic collision with another ball of mass 2 m at rest .Show that the colliding ball loses 8/9 th of its K.E. energy after collision.

Two particles A and B are in motion. if the wavelength associated with particle A is 5 (10*-8)m . Calculate the wavelength of particle B if its momentum is half of A.

Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2ms^(-1) and 1ms^(-1) respectively. They collide and after the collision, the first object moves with a velocity of 1.67ms^(-1) Determine the velocity of the second object.