Center of Mass Momentum and Collision (L-1)

A moving particle of mass m, makes a head on elastic collision with another particle of mass 2m, which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to

JEE Main 2012 (19 May Online)

• 33%

• 67%

• 90%

• 10%

A projectile moving vertically upwards with a velocity of 200 ms⁻¹ breaks into two equal parts at a height of 490 m. One part starts moving vertically upwards with a velocity of 400 ms⁻¹. How much time it will take, after the break up with the other part to hit the ground?

JEE Main 2012 (12 May Online)

• 5s

• 10s

Two bodies A and B of mass m and 2m respectively are placed on a smooth floor. They are connected by a spring of negligible mass. A third body C of mass m is placed on the floor. The body C moves with a velocity v0 along the line joining A and B and collides elastically with A. At a certain time after the collision it is found that the instantaneous velocities of A and B are same and the compression of the spring is x₀. The spring constant k will be

JEE Main 2012 (12 May Online )

Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.

Statement-2 : Principle of conservation of momentum holds true for all kinds of collisions.

Of the four choices given after the statements, choose the one that best describes the two statements.

• Statement-1 is true, Statement-2 is the correct explanation of statement-1

• Statement-1 is true, Statement-2 is not the correct explanation of statement

• Statement-1 is false, Statement-2 is true

• Statement-1 is true, Statement-2 is false

The figure shows the position - time (x−t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is

JEE Main 2010

• 0.4Ns

• 0.8Ns

• 1.6Ns

• 0.2Ns

• 
• 
• 
• 

A body of mass m=3.513 kg is moving along the x-axis with a speed of 5.00 ms⁻¹. The magnitude of its momentum is recorded as

JEE Main 2008

• 17.6 kg ms^-1

• 17.565 kg ms^-1

• 17.56 kg ms^-1

• 17.56 kg ms^-1

A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

JEE Main 2008

• 0.16 J

• 1.00 J

• 0.67 J

• 0.34 J

A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincide. The centre of mass of the new disc is α/R from the centre of the bigger disc. The value of α is

JEE Main 2007

• 1/3

• 1/2

• 1/6

• 1/4