A ball is allowed to fall from a height of 10 m. If there is 40% loss of energy due to impact, then after one impact ball will go up by

1. 10 m

2. 8 m

3. 4 m

4. 6 m

A ball of mass M moving with speed v collides perfectly inelastically with another ball of mass m at rest. The magnitude of impulse imparted to the first ball is 

1. Mv

2. mv

3. $\frac{\mathrm{Mm}}{\mathrm{M}+\mathrm{m}}v$

4. $\frac{{\mathrm{M}}^2}{\mathrm{M}+\mathrm{m}}v$

Positively charged particles X and Y are initially far away from each other and at rest. X begins to move towards Y with some initial velocity. The total momentum and energy of the system are p and E respectively. Which of the following statement is correct?

1. If Y is fixed, both p and E are conserved.

2. If Y is fixed, E is conserved, but not p.

3. If both are free to move, p is conserved but not E.

4. If both are free, E is conserved, but not p.

A body is falling freely under the action of gravity alone in vacuum. Which of the following quantities remains constant during the fall?

1. Kinetic energy

2. Potential energy

3. Total mechanical energy

4. Total linear momentum

During inelastic collision between two bodies, which of the following quantities always remain conserved?

1. Total kinetic energy

2. Total mechanical energy

3. Total linear momentum

4. Speed of each body

A bullet of mass m moving with a velocity u strikes a block of mass M at rest and gets embedded in the block. The loss of kinetic energy in the impact is

1. $\frac{1}{2}{\mathrm{mMu}}^2$

2. $\frac{1}{2}(\mathrm{m}+\mathrm{M}){\mathrm{u}}^2$

3. $\frac{{\mathrm{mMu}}^2}{2(\mathrm{m}+\mathrm{M})}$

4. $\left(\frac{\mathrm{m}+\mathrm{M}}{2\mathrm{mM}}\right){\mathrm{u}}^2$

Select the false statement 

1. In elastic collision, KE is not conserved during the collision

2. The coefficient of restitution for a collision between two steel balls lies between 0 and 1

3. The momentum of a ball colliding elastically with the floor is conserved

4. In an oblique elastic collision between two identical bodies with one of them at rest initially, the final velocities are perpendicular

A body of mass 10 kg moving with speed of 3 ms^-1 collides with another stationary body of mass 5 kg. As a result, the two bodies stick together. The KE of composite mass will be

1. 30 J

2. 60 J

3. 90 J

4. 120 J

Particle A makes a perfectly elastic collision with another particle B at rest. They fly apart in opposite directions with equal speeds. If their masses are m_A and m_B respectively, then

1. 2m_A = m_B 

2. 3m_A = m_B

3. 4m_A = m_B

4. $\sqrt{3}$m_A = m_B

An object of mass 80 kg moving with velocity 2 ms^-1 hit by collides with another object of mass 20 kg moving with velocity 4 ms^-1. Find the loss of energy assuming a perfectly inelastic collision

1. 12 J

2. 24 J

3. 30 J

4. 32 J