Physics – Class 11 Mock Test 5

1. Two bodies of masses 5 kg and 3 kg are moving towards each other at velocities of 3 m/s and 5 m/s, respectively. What is the velocity of their centre of mass?

2. Let I₁ be the moment of inertia about the centre of mass of a thick asymmetrical body. Let I₂ be the moment of inertia about an axis parallel to I₁. The distance between the two axes is ‘a’ & the mass of the body is ‘m’. Find the relation between I₁ & I₂.

3. Two cylinders have the same mass and radius. One is hollow and the other is solid. Which one will have the greater moment of inertia about the central axis?

4. A ball of mass 2kg is moving with a speed of 10m/s along a flat surface. It collides with another ball of mass 3kg and comes to rest, what will be the speed of the second ball after collision?

5. A particle is rotating about a fixed axis. The angular momentum of the particle about any point on the fixed axis is the same. True or False?

6. A ball of mass 3kg is thrown at an angle of 30° with the horizontal & a speed of 10m/s. At the highest point the ball breaks into two parts, having mass ratio 2:1, due to internal forces. If the heavier part falls at a distance of 10m from the start, find the x coordinate of the second part.

7. From the figure, find out the perpendicular distance of the centre of mass of the system from side AB. ABCD is a square of side 2 m.

8. A ball of mass 100 g is moving with a velocity of 3 m/s towards east. A cube of mass 200 gram is moving towards west with a velocity of 7 m/s. If the collision is perfectly elastic, what is the magnitude of the final momentum of the system in Kg-m/s?

9. The centre of mass of the body always lies on the line of symmetry for an object with uniform density.

10. Two particles of masses 2 kg and 3 kg are at rest and are separated by 10 m. If they move towards each other under the mutual force of attraction, they would meet at _____