03. Elastic and Inelastic Collision
Work, Energy and Power

149169 Particle A moving with a velocity $v=10 \mathrm{~m} / \mathrm{s}$ experienced a head on collision with a stationary particle $B$ of the same mass. As a result of collision, the kinetic energy of the system decreased by $1 \%$. The speed of particle $A$ after collision is

1 $10 \mathrm{~m} / \mathrm{s}$
2 $0.05 \mathrm{~m} / \mathrm{s}$
3 $5 \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149171 A body of mass $3 \mathrm{~kg}$ is moving with a velocity of $8 \mathrm{~m} \cdot \mathrm{s}^{-1}$ collides head on with another body of mass $1 \mathrm{~kg}$ moving in the opposite direction with a velocity of $4 \mathrm{~m} . \mathrm{s}^{-1}$. After the collision, if the two bodies stick together and move, they move with a common velocity

1 $5 \mathrm{~ms}^{-1}$
2 $7 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $14 \mathrm{~ms}^{-1}$
Work, Energy and Power

149170 Assertion (A): In an elastic collision of two billiard balls, both kinetic energy and linear momentum remain conserved.
Reason (R) During the collision of the balls, as the collision is elastic there is no exchange of energy. Therefore, both energy and momentum are conserved.
The correct option among the following is

1 (A) is true (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Work, Energy and Power

149173 An object $\mathrm{A}$ of mass $20 \mathrm{~kg}$ and travelling at 20 $\mathrm{m} / \mathrm{s}$ crashes into another object $B$ of mass 200 $\mathrm{kg}$ and travelling at $10 \mathrm{~m} / \mathrm{s}$, in the same direction. After the collision, object $A$ bounces back in opposite direction at a speed of $10 \mathrm{~m} / \mathrm{s}$. The speed of the object $B$ after the collision is:

1 $13 \mathrm{~m} / \mathrm{s}$
2 $12 \mathrm{~m} / \mathrm{s}$
3 $14 \mathrm{~m} / \mathrm{s}$
4 $20 \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149174 A moving body of mass $m$ and velocity $3 \mathrm{~km} / \mathrm{h}$ collides with a body at rest mass $2 \mathrm{~m}$ and sticks to it. Now the combined mass starts to move with speed of.

1 $1 \mathrm{~km} / \mathrm{h}$
2 $2 \mathrm{~km} / \mathrm{h}$
3 $3 \mathrm{~km} / \mathrm{h}$
4 $4 \mathrm{~km} / \mathrm{h}$
Work, Energy and Power

149169 Particle A moving with a velocity $v=10 \mathrm{~m} / \mathrm{s}$ experienced a head on collision with a stationary particle $B$ of the same mass. As a result of collision, the kinetic energy of the system decreased by $1 \%$. The speed of particle $A$ after collision is

1 $10 \mathrm{~m} / \mathrm{s}$
2 $0.05 \mathrm{~m} / \mathrm{s}$
3 $5 \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149171 A body of mass $3 \mathrm{~kg}$ is moving with a velocity of $8 \mathrm{~m} \cdot \mathrm{s}^{-1}$ collides head on with another body of mass $1 \mathrm{~kg}$ moving in the opposite direction with a velocity of $4 \mathrm{~m} . \mathrm{s}^{-1}$. After the collision, if the two bodies stick together and move, they move with a common velocity

1 $5 \mathrm{~ms}^{-1}$
2 $7 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $14 \mathrm{~ms}^{-1}$
Work, Energy and Power

149170 Assertion (A): In an elastic collision of two billiard balls, both kinetic energy and linear momentum remain conserved.
Reason (R) During the collision of the balls, as the collision is elastic there is no exchange of energy. Therefore, both energy and momentum are conserved.
The correct option among the following is

1 (A) is true (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Work, Energy and Power

149173 An object $\mathrm{A}$ of mass $20 \mathrm{~kg}$ and travelling at 20 $\mathrm{m} / \mathrm{s}$ crashes into another object $B$ of mass 200 $\mathrm{kg}$ and travelling at $10 \mathrm{~m} / \mathrm{s}$, in the same direction. After the collision, object $A$ bounces back in opposite direction at a speed of $10 \mathrm{~m} / \mathrm{s}$. The speed of the object $B$ after the collision is:

1 $13 \mathrm{~m} / \mathrm{s}$
2 $12 \mathrm{~m} / \mathrm{s}$
3 $14 \mathrm{~m} / \mathrm{s}$
4 $20 \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149174 A moving body of mass $m$ and velocity $3 \mathrm{~km} / \mathrm{h}$ collides with a body at rest mass $2 \mathrm{~m}$ and sticks to it. Now the combined mass starts to move with speed of.

1 $1 \mathrm{~km} / \mathrm{h}$
2 $2 \mathrm{~km} / \mathrm{h}$
3 $3 \mathrm{~km} / \mathrm{h}$
4 $4 \mathrm{~km} / \mathrm{h}$
Work, Energy and Power

149169 Particle A moving with a velocity $v=10 \mathrm{~m} / \mathrm{s}$ experienced a head on collision with a stationary particle $B$ of the same mass. As a result of collision, the kinetic energy of the system decreased by $1 \%$. The speed of particle $A$ after collision is

1 $10 \mathrm{~m} / \mathrm{s}$
2 $0.05 \mathrm{~m} / \mathrm{s}$
3 $5 \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149171 A body of mass $3 \mathrm{~kg}$ is moving with a velocity of $8 \mathrm{~m} \cdot \mathrm{s}^{-1}$ collides head on with another body of mass $1 \mathrm{~kg}$ moving in the opposite direction with a velocity of $4 \mathrm{~m} . \mathrm{s}^{-1}$. After the collision, if the two bodies stick together and move, they move with a common velocity

1 $5 \mathrm{~ms}^{-1}$
2 $7 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $14 \mathrm{~ms}^{-1}$
Work, Energy and Power

149170 Assertion (A): In an elastic collision of two billiard balls, both kinetic energy and linear momentum remain conserved.
Reason (R) During the collision of the balls, as the collision is elastic there is no exchange of energy. Therefore, both energy and momentum are conserved.
The correct option among the following is

1 (A) is true (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Work, Energy and Power

149173 An object $\mathrm{A}$ of mass $20 \mathrm{~kg}$ and travelling at 20 $\mathrm{m} / \mathrm{s}$ crashes into another object $B$ of mass 200 $\mathrm{kg}$ and travelling at $10 \mathrm{~m} / \mathrm{s}$, in the same direction. After the collision, object $A$ bounces back in opposite direction at a speed of $10 \mathrm{~m} / \mathrm{s}$. The speed of the object $B$ after the collision is:

1 $13 \mathrm{~m} / \mathrm{s}$
2 $12 \mathrm{~m} / \mathrm{s}$
3 $14 \mathrm{~m} / \mathrm{s}$
4 $20 \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149174 A moving body of mass $m$ and velocity $3 \mathrm{~km} / \mathrm{h}$ collides with a body at rest mass $2 \mathrm{~m}$ and sticks to it. Now the combined mass starts to move with speed of.

1 $1 \mathrm{~km} / \mathrm{h}$
2 $2 \mathrm{~km} / \mathrm{h}$
3 $3 \mathrm{~km} / \mathrm{h}$
4 $4 \mathrm{~km} / \mathrm{h}$
Work, Energy and Power

149169 Particle A moving with a velocity $v=10 \mathrm{~m} / \mathrm{s}$ experienced a head on collision with a stationary particle $B$ of the same mass. As a result of collision, the kinetic energy of the system decreased by $1 \%$. The speed of particle $A$ after collision is

1 $10 \mathrm{~m} / \mathrm{s}$
2 $0.05 \mathrm{~m} / \mathrm{s}$
3 $5 \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149171 A body of mass $3 \mathrm{~kg}$ is moving with a velocity of $8 \mathrm{~m} \cdot \mathrm{s}^{-1}$ collides head on with another body of mass $1 \mathrm{~kg}$ moving in the opposite direction with a velocity of $4 \mathrm{~m} . \mathrm{s}^{-1}$. After the collision, if the two bodies stick together and move, they move with a common velocity

1 $5 \mathrm{~ms}^{-1}$
2 $7 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $14 \mathrm{~ms}^{-1}$
Work, Energy and Power

149170 Assertion (A): In an elastic collision of two billiard balls, both kinetic energy and linear momentum remain conserved.
Reason (R) During the collision of the balls, as the collision is elastic there is no exchange of energy. Therefore, both energy and momentum are conserved.
The correct option among the following is

1 (A) is true (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Work, Energy and Power

149173 An object $\mathrm{A}$ of mass $20 \mathrm{~kg}$ and travelling at 20 $\mathrm{m} / \mathrm{s}$ crashes into another object $B$ of mass 200 $\mathrm{kg}$ and travelling at $10 \mathrm{~m} / \mathrm{s}$, in the same direction. After the collision, object $A$ bounces back in opposite direction at a speed of $10 \mathrm{~m} / \mathrm{s}$. The speed of the object $B$ after the collision is:

1 $13 \mathrm{~m} / \mathrm{s}$
2 $12 \mathrm{~m} / \mathrm{s}$
3 $14 \mathrm{~m} / \mathrm{s}$
4 $20 \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149174 A moving body of mass $m$ and velocity $3 \mathrm{~km} / \mathrm{h}$ collides with a body at rest mass $2 \mathrm{~m}$ and sticks to it. Now the combined mass starts to move with speed of.

1 $1 \mathrm{~km} / \mathrm{h}$
2 $2 \mathrm{~km} / \mathrm{h}$
3 $3 \mathrm{~km} / \mathrm{h}$
4 $4 \mathrm{~km} / \mathrm{h}$
Work, Energy and Power

149169 Particle A moving with a velocity $v=10 \mathrm{~m} / \mathrm{s}$ experienced a head on collision with a stationary particle $B$ of the same mass. As a result of collision, the kinetic energy of the system decreased by $1 \%$. The speed of particle $A$ after collision is

1 $10 \mathrm{~m} / \mathrm{s}$
2 $0.05 \mathrm{~m} / \mathrm{s}$
3 $5 \mathrm{~m} / \mathrm{s}$
4 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149171 A body of mass $3 \mathrm{~kg}$ is moving with a velocity of $8 \mathrm{~m} \cdot \mathrm{s}^{-1}$ collides head on with another body of mass $1 \mathrm{~kg}$ moving in the opposite direction with a velocity of $4 \mathrm{~m} . \mathrm{s}^{-1}$. After the collision, if the two bodies stick together and move, they move with a common velocity

1 $5 \mathrm{~ms}^{-1}$
2 $7 \mathrm{~ms}^{-1}$
3 $10 \mathrm{~ms}^{-1}$
4 $14 \mathrm{~ms}^{-1}$
Work, Energy and Power

149170 Assertion (A): In an elastic collision of two billiard balls, both kinetic energy and linear momentum remain conserved.
Reason (R) During the collision of the balls, as the collision is elastic there is no exchange of energy. Therefore, both energy and momentum are conserved.
The correct option among the following is

1 (A) is true (R) is true and (R) is the correct explanation for $(\mathrm{A})$
2 (A) is true (R) is true but (R) is not the correct explanation for $(\mathrm{A})$
3 (A) is true but (R) is false
4 (A) is false but (R) is true
Work, Energy and Power

149173 An object $\mathrm{A}$ of mass $20 \mathrm{~kg}$ and travelling at 20 $\mathrm{m} / \mathrm{s}$ crashes into another object $B$ of mass 200 $\mathrm{kg}$ and travelling at $10 \mathrm{~m} / \mathrm{s}$, in the same direction. After the collision, object $A$ bounces back in opposite direction at a speed of $10 \mathrm{~m} / \mathrm{s}$. The speed of the object $B$ after the collision is:

1 $13 \mathrm{~m} / \mathrm{s}$
2 $12 \mathrm{~m} / \mathrm{s}$
3 $14 \mathrm{~m} / \mathrm{s}$
4 $20 \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149174 A moving body of mass $m$ and velocity $3 \mathrm{~km} / \mathrm{h}$ collides with a body at rest mass $2 \mathrm{~m}$ and sticks to it. Now the combined mass starts to move with speed of.

1 $1 \mathrm{~km} / \mathrm{h}$
2 $2 \mathrm{~km} / \mathrm{h}$
3 $3 \mathrm{~km} / \mathrm{h}$
4 $4 \mathrm{~km} / \mathrm{h}$