03. Elastic and Inelastic Collision
Work, Energy and Power

149150 Ball $\mathrm{A}$ of mass $50 \mathrm{gm}$ an speed $10 \mathrm{~m} / \mathrm{s}$ collides with other ball $B$ of mass $10 \mathrm{gm}$ and speed 15 $\mathbf{m} / \mathbf{s}$ travelling in opposite direction with each other. Determine the final speed of ball $B$, if the coefficient of restitution is $\frac{2}{5}$.

1 $\frac{40}{3} \mathrm{~m} / \mathrm{s}$
2 $\frac{75}{3} \mathrm{~m} / \mathrm{s}$
3 $\frac{91}{8} \mathrm{~m} / \mathrm{s}$
4 $\frac{85}{6} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149152 A ball is released from a height $h$. It hits the floor below and keeps bouncing repeatedly until it comes to rest. If the coefficient of restitution of the head-on collision between the ball and the floor is $e(e>>1)$, the total distance covered by the ball (vertically) from the point of its release to its rest position is given by

1 $\frac{\mathrm{h}\left(1-\mathrm{e}^{2}\right)}{1+\mathrm{e}^{2}}$
2 $\frac{\mathrm{h}\left(1+\mathrm{e}^{2}\right)}{1-\mathrm{e}^{2}}$
3 $\frac{\mathrm{h}(1-\mathrm{e})}{1+\mathrm{e}}$
4 $\frac{\mathrm{h}(1+\mathrm{e})}{1-\mathrm{e}}$
Work, Energy and Power

149154 A hammer weighing $3 \mathrm{~kg}$ strikes the head of a nail with a speed of $2 \mathrm{~ms}^{-1}$ and drives it $1 \mathrm{~cm}$ into the wall. The impulse imparted to the wall is

1 $6 \mathrm{~N} \mathrm{~s}$
2 $3 \mathrm{~N} \mathrm{~s}$
3 $2 \mathrm{~N} \mathrm{~s}$
4 $18 \mathrm{~N} \mathrm{~s}$
Work, Energy and Power

149155 A metal ball of mass $2 \mathrm{~kg}$ moving with a velocity of $36 \mathrm{~km} / \mathrm{h}$ has a head on collision with a stationary ball of mass $3 \mathrm{~kg}$. After the collision, if both balls move together, the loss in kinetic energy due to collision is

1 $40 \mathrm{~J}$
2 $60 \mathrm{~J}$
3 $100 \mathrm{~J}$
4 $140 \mathrm{~J}$
Work, Energy and Power

149158 Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $\mathrm{v}$ and $2 \mathrm{v}$ respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at $A$, these two particles will again reach the point A?

1 4
2 3
3 2
4 1
Work, Energy and Power

149150 Ball $\mathrm{A}$ of mass $50 \mathrm{gm}$ an speed $10 \mathrm{~m} / \mathrm{s}$ collides with other ball $B$ of mass $10 \mathrm{gm}$ and speed 15 $\mathbf{m} / \mathbf{s}$ travelling in opposite direction with each other. Determine the final speed of ball $B$, if the coefficient of restitution is $\frac{2}{5}$.

1 $\frac{40}{3} \mathrm{~m} / \mathrm{s}$
2 $\frac{75}{3} \mathrm{~m} / \mathrm{s}$
3 $\frac{91}{8} \mathrm{~m} / \mathrm{s}$
4 $\frac{85}{6} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149152 A ball is released from a height $h$. It hits the floor below and keeps bouncing repeatedly until it comes to rest. If the coefficient of restitution of the head-on collision between the ball and the floor is $e(e>>1)$, the total distance covered by the ball (vertically) from the point of its release to its rest position is given by

1 $\frac{\mathrm{h}\left(1-\mathrm{e}^{2}\right)}{1+\mathrm{e}^{2}}$
2 $\frac{\mathrm{h}\left(1+\mathrm{e}^{2}\right)}{1-\mathrm{e}^{2}}$
3 $\frac{\mathrm{h}(1-\mathrm{e})}{1+\mathrm{e}}$
4 $\frac{\mathrm{h}(1+\mathrm{e})}{1-\mathrm{e}}$
Work, Energy and Power

149154 A hammer weighing $3 \mathrm{~kg}$ strikes the head of a nail with a speed of $2 \mathrm{~ms}^{-1}$ and drives it $1 \mathrm{~cm}$ into the wall. The impulse imparted to the wall is

1 $6 \mathrm{~N} \mathrm{~s}$
2 $3 \mathrm{~N} \mathrm{~s}$
3 $2 \mathrm{~N} \mathrm{~s}$
4 $18 \mathrm{~N} \mathrm{~s}$
Work, Energy and Power

149155 A metal ball of mass $2 \mathrm{~kg}$ moving with a velocity of $36 \mathrm{~km} / \mathrm{h}$ has a head on collision with a stationary ball of mass $3 \mathrm{~kg}$. After the collision, if both balls move together, the loss in kinetic energy due to collision is

1 $40 \mathrm{~J}$
2 $60 \mathrm{~J}$
3 $100 \mathrm{~J}$
4 $140 \mathrm{~J}$
Work, Energy and Power

149158 Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $\mathrm{v}$ and $2 \mathrm{v}$ respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at $A$, these two particles will again reach the point A?

1 4
2 3
3 2
4 1
Work, Energy and Power

149150 Ball $\mathrm{A}$ of mass $50 \mathrm{gm}$ an speed $10 \mathrm{~m} / \mathrm{s}$ collides with other ball $B$ of mass $10 \mathrm{gm}$ and speed 15 $\mathbf{m} / \mathbf{s}$ travelling in opposite direction with each other. Determine the final speed of ball $B$, if the coefficient of restitution is $\frac{2}{5}$.

1 $\frac{40}{3} \mathrm{~m} / \mathrm{s}$
2 $\frac{75}{3} \mathrm{~m} / \mathrm{s}$
3 $\frac{91}{8} \mathrm{~m} / \mathrm{s}$
4 $\frac{85}{6} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149152 A ball is released from a height $h$. It hits the floor below and keeps bouncing repeatedly until it comes to rest. If the coefficient of restitution of the head-on collision between the ball and the floor is $e(e>>1)$, the total distance covered by the ball (vertically) from the point of its release to its rest position is given by

1 $\frac{\mathrm{h}\left(1-\mathrm{e}^{2}\right)}{1+\mathrm{e}^{2}}$
2 $\frac{\mathrm{h}\left(1+\mathrm{e}^{2}\right)}{1-\mathrm{e}^{2}}$
3 $\frac{\mathrm{h}(1-\mathrm{e})}{1+\mathrm{e}}$
4 $\frac{\mathrm{h}(1+\mathrm{e})}{1-\mathrm{e}}$
Work, Energy and Power

149154 A hammer weighing $3 \mathrm{~kg}$ strikes the head of a nail with a speed of $2 \mathrm{~ms}^{-1}$ and drives it $1 \mathrm{~cm}$ into the wall. The impulse imparted to the wall is

1 $6 \mathrm{~N} \mathrm{~s}$
2 $3 \mathrm{~N} \mathrm{~s}$
3 $2 \mathrm{~N} \mathrm{~s}$
4 $18 \mathrm{~N} \mathrm{~s}$
Work, Energy and Power

149155 A metal ball of mass $2 \mathrm{~kg}$ moving with a velocity of $36 \mathrm{~km} / \mathrm{h}$ has a head on collision with a stationary ball of mass $3 \mathrm{~kg}$. After the collision, if both balls move together, the loss in kinetic energy due to collision is

1 $40 \mathrm{~J}$
2 $60 \mathrm{~J}$
3 $100 \mathrm{~J}$
4 $140 \mathrm{~J}$
Work, Energy and Power

149158 Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $\mathrm{v}$ and $2 \mathrm{v}$ respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at $A$, these two particles will again reach the point A?

1 4
2 3
3 2
4 1
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Work, Energy and Power

149150 Ball $\mathrm{A}$ of mass $50 \mathrm{gm}$ an speed $10 \mathrm{~m} / \mathrm{s}$ collides with other ball $B$ of mass $10 \mathrm{gm}$ and speed 15 $\mathbf{m} / \mathbf{s}$ travelling in opposite direction with each other. Determine the final speed of ball $B$, if the coefficient of restitution is $\frac{2}{5}$.

1 $\frac{40}{3} \mathrm{~m} / \mathrm{s}$
2 $\frac{75}{3} \mathrm{~m} / \mathrm{s}$
3 $\frac{91}{8} \mathrm{~m} / \mathrm{s}$
4 $\frac{85}{6} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149152 A ball is released from a height $h$. It hits the floor below and keeps bouncing repeatedly until it comes to rest. If the coefficient of restitution of the head-on collision between the ball and the floor is $e(e>>1)$, the total distance covered by the ball (vertically) from the point of its release to its rest position is given by

1 $\frac{\mathrm{h}\left(1-\mathrm{e}^{2}\right)}{1+\mathrm{e}^{2}}$
2 $\frac{\mathrm{h}\left(1+\mathrm{e}^{2}\right)}{1-\mathrm{e}^{2}}$
3 $\frac{\mathrm{h}(1-\mathrm{e})}{1+\mathrm{e}}$
4 $\frac{\mathrm{h}(1+\mathrm{e})}{1-\mathrm{e}}$
Work, Energy and Power

149154 A hammer weighing $3 \mathrm{~kg}$ strikes the head of a nail with a speed of $2 \mathrm{~ms}^{-1}$ and drives it $1 \mathrm{~cm}$ into the wall. The impulse imparted to the wall is

1 $6 \mathrm{~N} \mathrm{~s}$
2 $3 \mathrm{~N} \mathrm{~s}$
3 $2 \mathrm{~N} \mathrm{~s}$
4 $18 \mathrm{~N} \mathrm{~s}$
Work, Energy and Power

149155 A metal ball of mass $2 \mathrm{~kg}$ moving with a velocity of $36 \mathrm{~km} / \mathrm{h}$ has a head on collision with a stationary ball of mass $3 \mathrm{~kg}$. After the collision, if both balls move together, the loss in kinetic energy due to collision is

1 $40 \mathrm{~J}$
2 $60 \mathrm{~J}$
3 $100 \mathrm{~J}$
4 $140 \mathrm{~J}$
Work, Energy and Power

149158 Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $\mathrm{v}$ and $2 \mathrm{v}$ respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at $A$, these two particles will again reach the point A?

1 4
2 3
3 2
4 1
Work, Energy and Power

149150 Ball $\mathrm{A}$ of mass $50 \mathrm{gm}$ an speed $10 \mathrm{~m} / \mathrm{s}$ collides with other ball $B$ of mass $10 \mathrm{gm}$ and speed 15 $\mathbf{m} / \mathbf{s}$ travelling in opposite direction with each other. Determine the final speed of ball $B$, if the coefficient of restitution is $\frac{2}{5}$.

1 $\frac{40}{3} \mathrm{~m} / \mathrm{s}$
2 $\frac{75}{3} \mathrm{~m} / \mathrm{s}$
3 $\frac{91}{8} \mathrm{~m} / \mathrm{s}$
4 $\frac{85}{6} \mathrm{~m} / \mathrm{s}$
Work, Energy and Power

149152 A ball is released from a height $h$. It hits the floor below and keeps bouncing repeatedly until it comes to rest. If the coefficient of restitution of the head-on collision between the ball and the floor is $e(e>>1)$, the total distance covered by the ball (vertically) from the point of its release to its rest position is given by

1 $\frac{\mathrm{h}\left(1-\mathrm{e}^{2}\right)}{1+\mathrm{e}^{2}}$
2 $\frac{\mathrm{h}\left(1+\mathrm{e}^{2}\right)}{1-\mathrm{e}^{2}}$
3 $\frac{\mathrm{h}(1-\mathrm{e})}{1+\mathrm{e}}$
4 $\frac{\mathrm{h}(1+\mathrm{e})}{1-\mathrm{e}}$
Work, Energy and Power

149154 A hammer weighing $3 \mathrm{~kg}$ strikes the head of a nail with a speed of $2 \mathrm{~ms}^{-1}$ and drives it $1 \mathrm{~cm}$ into the wall. The impulse imparted to the wall is

1 $6 \mathrm{~N} \mathrm{~s}$
2 $3 \mathrm{~N} \mathrm{~s}$
3 $2 \mathrm{~N} \mathrm{~s}$
4 $18 \mathrm{~N} \mathrm{~s}$
Work, Energy and Power

149155 A metal ball of mass $2 \mathrm{~kg}$ moving with a velocity of $36 \mathrm{~km} / \mathrm{h}$ has a head on collision with a stationary ball of mass $3 \mathrm{~kg}$. After the collision, if both balls move together, the loss in kinetic energy due to collision is

1 $40 \mathrm{~J}$
2 $60 \mathrm{~J}$
3 $100 \mathrm{~J}$
4 $140 \mathrm{~J}$
Work, Energy and Power

149158 Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $\mathrm{v}$ and $2 \mathrm{v}$ respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at $A$, these two particles will again reach the point A?

1 4
2 3
3 2
4 1