03. Elastic and Inelastic Collision
Work, Energy and Power

149159 A smooth sphere of mass $M$ moving with velocity u directly collides elastically with another sphere of mass $m$ at rest. After collision, their final velocities are $\mathrm{V}$ and $\mathrm{v}$ respectively. The value of $v$ is

1 $\frac{2 \mathrm{uM}}{\mathrm{m}}$
2 $\frac{2 u m}{\mathrm{M}}$
3 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{m}}{\mathrm{M}}}$
4 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{M}}{\mathrm{m}}}$
Work, Energy and Power

149157 Assertion (A): In an elastic collision of two billiard balls, the total K.E. is conserved during the short time of collision of the balls (i.e. when they are in contact).
Reason (R) : Energy spent against friction does not follow the law of conservation of energy.

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

149162 Two balls $A$ and $B$, of masses $M$ and $2 M$ respectively collide each other. If the ball $A$ moves with a speed of $150 \mathrm{~ms}^{-1}$ and collides with ball $B$ moving with speed $v$ in the opposite direction. After collision if ball A comes to rest and the coefficient of restitution is 1 (one), then the speed of the ball $B$ before it collides with ball $A$ is

1 $37.5 \mathrm{~ms}^{-1}$
2 $12.5 \mathrm{~ms}^{-1}$
3 $75 \mathrm{~ms}^{-1}$
4 $25 \mathrm{~ms}^{-1}$
Work, Energy and Power

149163 Ball $A$ of mass $1 \mathrm{~kg}$ moving along a straight line with a velocity of $4 \mathrm{~m} \mathrm{~s}^{-1}$ hits another ball $B$ of mass $3 \mathrm{~kg}$ which is at rest. After collision, they stick together and move with the same velocity along the same straight line. If the time of impact of the collision is $0.1 \mathrm{~s}$ then the force exerted on $B$ is

1 $30 \mathrm{~N}$
2 $24 \mathrm{~N}$
3 $36 \mathrm{~N}$
4 $27 \mathrm{~N}$
Work, Energy and Power

149159 A smooth sphere of mass $M$ moving with velocity u directly collides elastically with another sphere of mass $m$ at rest. After collision, their final velocities are $\mathrm{V}$ and $\mathrm{v}$ respectively. The value of $v$ is

1 $\frac{2 \mathrm{uM}}{\mathrm{m}}$
2 $\frac{2 u m}{\mathrm{M}}$
3 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{m}}{\mathrm{M}}}$
4 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{M}}{\mathrm{m}}}$
Work, Energy and Power

149157 Assertion (A): In an elastic collision of two billiard balls, the total K.E. is conserved during the short time of collision of the balls (i.e. when they are in contact).
Reason (R) : Energy spent against friction does not follow the law of conservation of energy.

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

149162 Two balls $A$ and $B$, of masses $M$ and $2 M$ respectively collide each other. If the ball $A$ moves with a speed of $150 \mathrm{~ms}^{-1}$ and collides with ball $B$ moving with speed $v$ in the opposite direction. After collision if ball A comes to rest and the coefficient of restitution is 1 (one), then the speed of the ball $B$ before it collides with ball $A$ is

1 $37.5 \mathrm{~ms}^{-1}$
2 $12.5 \mathrm{~ms}^{-1}$
3 $75 \mathrm{~ms}^{-1}$
4 $25 \mathrm{~ms}^{-1}$
Work, Energy and Power

149163 Ball $A$ of mass $1 \mathrm{~kg}$ moving along a straight line with a velocity of $4 \mathrm{~m} \mathrm{~s}^{-1}$ hits another ball $B$ of mass $3 \mathrm{~kg}$ which is at rest. After collision, they stick together and move with the same velocity along the same straight line. If the time of impact of the collision is $0.1 \mathrm{~s}$ then the force exerted on $B$ is

1 $30 \mathrm{~N}$
2 $24 \mathrm{~N}$
3 $36 \mathrm{~N}$
4 $27 \mathrm{~N}$
Work, Energy and Power

149159 A smooth sphere of mass $M$ moving with velocity u directly collides elastically with another sphere of mass $m$ at rest. After collision, their final velocities are $\mathrm{V}$ and $\mathrm{v}$ respectively. The value of $v$ is

1 $\frac{2 \mathrm{uM}}{\mathrm{m}}$
2 $\frac{2 u m}{\mathrm{M}}$
3 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{m}}{\mathrm{M}}}$
4 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{M}}{\mathrm{m}}}$
Work, Energy and Power

149157 Assertion (A): In an elastic collision of two billiard balls, the total K.E. is conserved during the short time of collision of the balls (i.e. when they are in contact).
Reason (R) : Energy spent against friction does not follow the law of conservation of energy.

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

149162 Two balls $A$ and $B$, of masses $M$ and $2 M$ respectively collide each other. If the ball $A$ moves with a speed of $150 \mathrm{~ms}^{-1}$ and collides with ball $B$ moving with speed $v$ in the opposite direction. After collision if ball A comes to rest and the coefficient of restitution is 1 (one), then the speed of the ball $B$ before it collides with ball $A$ is

1 $37.5 \mathrm{~ms}^{-1}$
2 $12.5 \mathrm{~ms}^{-1}$
3 $75 \mathrm{~ms}^{-1}$
4 $25 \mathrm{~ms}^{-1}$
Work, Energy and Power

149163 Ball $A$ of mass $1 \mathrm{~kg}$ moving along a straight line with a velocity of $4 \mathrm{~m} \mathrm{~s}^{-1}$ hits another ball $B$ of mass $3 \mathrm{~kg}$ which is at rest. After collision, they stick together and move with the same velocity along the same straight line. If the time of impact of the collision is $0.1 \mathrm{~s}$ then the force exerted on $B$ is

1 $30 \mathrm{~N}$
2 $24 \mathrm{~N}$
3 $36 \mathrm{~N}$
4 $27 \mathrm{~N}$
Work, Energy and Power

149159 A smooth sphere of mass $M$ moving with velocity u directly collides elastically with another sphere of mass $m$ at rest. After collision, their final velocities are $\mathrm{V}$ and $\mathrm{v}$ respectively. The value of $v$ is

1 $\frac{2 \mathrm{uM}}{\mathrm{m}}$
2 $\frac{2 u m}{\mathrm{M}}$
3 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{m}}{\mathrm{M}}}$
4 $\frac{2 \mathrm{u}}{1+\frac{\mathrm{M}}{\mathrm{m}}}$
Work, Energy and Power

149157 Assertion (A): In an elastic collision of two billiard balls, the total K.E. is conserved during the short time of collision of the balls (i.e. when they are in contact).
Reason (R) : Energy spent against friction does not follow the law of conservation of energy.

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

149162 Two balls $A$ and $B$, of masses $M$ and $2 M$ respectively collide each other. If the ball $A$ moves with a speed of $150 \mathrm{~ms}^{-1}$ and collides with ball $B$ moving with speed $v$ in the opposite direction. After collision if ball A comes to rest and the coefficient of restitution is 1 (one), then the speed of the ball $B$ before it collides with ball $A$ is

1 $37.5 \mathrm{~ms}^{-1}$
2 $12.5 \mathrm{~ms}^{-1}$
3 $75 \mathrm{~ms}^{-1}$
4 $25 \mathrm{~ms}^{-1}$
Work, Energy and Power

149163 Ball $A$ of mass $1 \mathrm{~kg}$ moving along a straight line with a velocity of $4 \mathrm{~m} \mathrm{~s}^{-1}$ hits another ball $B$ of mass $3 \mathrm{~kg}$ which is at rest. After collision, they stick together and move with the same velocity along the same straight line. If the time of impact of the collision is $0.1 \mathrm{~s}$ then the force exerted on $B$ is

1 $30 \mathrm{~N}$
2 $24 \mathrm{~N}$
3 $36 \mathrm{~N}$
4 $27 \mathrm{~N}$