Centre Of Mass NAT Level - 1 - IIT JAM MCQ
10 Questions MCQ Test - Centre Of Mass NAT Level - 1
A block of mass 0.50 kg is moving with a speed of 2.00 ms–1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss (in Joule) during the collision is :
A force time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between 0 to 8 second is :
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A bullet of mass m = 50gm strikes (Δt ≈ 0) a sand bag of mass M = 5 kg hanging from a fixed point with a horizontal velocity 
If bullet sticks to the sand bag then the ratio of final and initial kinetic energy of the bullet is 10-α. Find the value of α:
If bullet sticks to the sand bag then the ratio of final and initial kinetic energy of the bullet is 10-α. Find the value of α:
A shell of mass 100 kg is fired horizontally from a canon with a mass of 5 × 103kg. The kinetic energy of the shell at the end of the barrel is 7.5 × 106 J. The kinetic energy imparted to the cannon by the recoil is 
Find the value of α:
Two masses of 1gm and 4gm are moving with equal kinetic energy. Find the Ratio of the magnitude of their linear momentum :
A ball of mass 50gm is dropped from a height h = 10m. It rebounds losing 75 percent of its kinetic energy. If it remains in contact with the ground for Δt = 0.01 sec., the impulse of the impact force (in N-s) is : (take g =10 m/s2)
A ball collides with an inclined plane of inclination θ after falling through a distance h. If it moves horizontally just after the impact, the coefficient of restitution is, when θ = 30:
are velocities components of wedge and ball along the impulsive force after collision and 
are velocities components of wedge and ball along the impulsive force before collision 
A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 m/s–1. The magnitude of its momentum (in kgms –1) is recorded as :
Three particles of mass 20gm, 30gm and 40gm are initially moving along the positive direction of the three coordinate axes respectively with the same velocity of 20 cm/s. If due to their mutual interaction, the first particle comes to rest, the second acquires a velocity 
What is the magnitude of velocity (in cm/s) of the third particle?
Two particles of mass 1kg and 0.5kg are moving in the same direction with speed of 2 m/s and 6 m/s respectively on a smooth horizontal surface. The speed of centre of mass of the system in m/s is :
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