Centre Of Mass MCQ Level - 2 - IIT JAM MCQ
10 Questions MCQ Test - Centre Of Mass MCQ Level - 2
A particle of mass m is moving along the x-axis with speed v when it collides with a particle of mass 2m initially at rest. After the collision, the first particle has come to rest and the second particle has split into two equal-mass pieces that are shown in the figure. Which of the following statements correctly describes the speeds of the two pieces? (θ > 0)
A system of the blocks A and B are connected by an inextensible massless string as shown in the figure. The pulley is massless and frictionless. Initially the system is at rest when, a bullet of mass m moving with a velocity u hits the block B and gets embedded into it. The impulse imparted by tension force to the block of mass 3m is :
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A smooth ball A moving with velocity v collides with another smooth identical ball at rest. After collision both the balls move with same speed with angle between their velocities 60°. No external force acts on the system of balls. The speed of each ball after collision is :
A canon shell moving along a straight line burst into two parts. Just after the burst one part moves with momentum 20 Ns making an angle 30° with the original line of motion. The minimum momentum of the other parts of shell just after the burst is :
On a smooth carom board, a coin moving in negative y-direction with a speed of 3m/s is being hit at the point (4,6) by a striker moving along negative x-axis. The line joining centres of the coin and the striker just before the collision is parallel to x-axis. After collision the coin goes into the hole located at the origin. Masses of the striker and the coin are equal. Considering the collision to be elastic, the initial and final speeds of the striker in m/s will be:
In given figure, the small block of mass 2m is released from rest when the string is in horizontal position,
Displacement of the ring when string makes an angle θ = 37° with the vertical will be :
A train of mass M is moving on a circular track of radius ‘R’ with constant speed V. The length of the train is half of the perimeter of the track. The linear momentum of the train will be :
The figure shows a hollow cube of side a of volume V. There is a small chamber of volume V/4 in the cube as shown. This chamber is completely filled by m kg of water. Water leaks through a hole H. The the work done by gravity in this process assuming that the complete water finally lies at the bottom of the cube is :
AB is and L shaped object fixed on a horizontal smooth table. A ball strikes if at A, gets deflected and restrikes it at B. If the velocity vector before collision is 
and coefficient of restitution of each collision is ‘e’, then the velocity of ball after its second collision at B is :
becomes e times, while IInd component v|| remains unchanged and similarly for second collision. The end result is that both v|| and 
becomes e times their initial value and hence 
(the (–) sign indicates the reversal of direction).
A gun is firing 20 balls per seconds of mass 20 gm each on the smooth horizontal table surface ABCD. If the collision is perfectly elastic and balls are striking at the centre of table with a speed 5 m/sec at an angle of 60° with the vertical just before collision, then force exerted by one of the leg on ground is (assume total weight of the table is 0.2 kg and g = 10 m/s2) :
Important Questions for Centre Of Mass MCQ Level - 2
Centre Of Mass MCQ Level - 2
Online Tests for Centre Of Mass MCQ Level - 2
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