A tennis ball is released from height h above ground level. If the ball makes inelastic collision with the ground, to what height will it rise after third collision 

(1) he⁶

(2) e²h

(3) e³h

(4) None of these

A mass \(m\) moves with a velocity \(v\) and collides inelastically with another identical mass. After collision the \(1\)st mass moves with velocity \(\frac{v}{\sqrt{3}}\) in a direction perpendicular to the initial direction of motion. Find the speed of the \(2\)^nd mass after collision: 

1. \(\frac{2}{\sqrt{3}}v\)
2. \(\frac{v}{\sqrt{3}}\)
3. \(v\)
4. \(\sqrt{3} v\)

A sphere collides with another sphere of identical mass. After collision, the two spheres move. The collision is inelastic. Then the angle between the directions of the two spheres is 

1. 90°

2. 0°

3. 45°

4. Different from 90°

A bullet of mass a and velocity b is fired into a large block of mass c. The final velocity of the system is 

(1) $\frac{c}{a+b}\cdot b$

(2) $\frac{a}{a+c}\cdot b$

(3) $\frac{a+b}{c}.a$

(4) $\frac{a+c}{a}\cdot b$

A bag (mass \(M\)) hangs by a long thread and a bullet (mass \(m\)) comes horizontally with velocity \(v\) and gets caught in the bag. Then for the combined (bag + bullet) system:
1. \(\text{Momentum is }\frac{mvM}{M+m}\)
2. \(\text{Kinetic energy is }\frac{mv^2}{2}\)
3. \(\text{Momentum is }\frac{mv(M+m)}{M}\)
4. \(\text{Kinetic energy is }\frac{m^2v^2}{2(M+m)}\)

A particle of mass m moving with velocity v strikes a stationary particle of mass 2m and sticks to it. The speed of the system will be 

(1) v/2

(2) 2v

(3) v/3

(4) 3v

If a skater of weight 3 kg has initial speed 32 m/s and second one of weight 4 kg has 5 m/s. After collision, they have speed (couple) 5 m/s. Then the loss in K.E. is 

(1) 48 J

(2) 96 J

(3) Zero

(4) None of these

A metal ball of mass 2 kg moving with a velocity of 36 km/h has an head on collision with a stationary ball of mass 3 kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is 

(1) 40 J

(2) 60 J

(3) 100 J

(4) 140 J

A body of mass 2kg is moving with velocity 10 m/s towards east. Another body of same mass and same velocity moving towards north collides with former and coalsces and moves towards north-east. Its velocity is 

(1) 10 m/s

(2) 5 m/s

(3) 2.5 m/s

(4) $5\sqrt{2}m/s$ 

Which of the following is not a perfectly inelastic collision 

(1) Striking of two glass balls

(2) A bullet striking a bag of sand

(3) An electron captured by a proton

(4) A man jumping onto a moving cart