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 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

A neutron having mass of $1.67\times {10}^{-27}kg$ and moving at ${10}^{8}m/s$ collides with a deutron at rest and sticks to it. If the mass of the deutron is $3.34\times {10}^{-27}kg$ then the speed of the combination is 

(1) $2.56\times {10}^{3}m/s$

(2) $2.98\times {10}^{5}m/s$

(3) $3.33\times {10}^{7}m/s$

(4) $5.01\times {10}^{9}m/s$

A body of mass m₁ is moving with a velocity V. It collides with another stationary body of mass m₂. They get embedded. At the point of collision, the velocity of the system 

(1) Increases

(2) Decreases but does not become zero

(3) Remains same

(4) Become zero