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Work, Energy and Power

268918 A wall moving with velocity \(2 \mathrm{cms}^{-1}\) towards the ball and ball is moving towards the wall with a velocity \(10 \mathrm{cms}^{-1}\). It hits the wall normally and makes elastic collision with wall. The velocity of ball after collision with wall in \(\mathrm{cms}^{-1}\)

1 12
2 8
3 14
4 16
Work, Energy and Power

268919 A body A moves towards a wall with velocity \(\mathrm{V}\). The wall also moves towards the body \(A\) with velocity \(V_{0}\). After collision the body moves in opposite direction with velocity \(V^{l}\) which is \(-1+\frac{2 V_{0}}{V} \theta\) times the velocity \(V\). The coefficient of restitution is

1 \(\frac{1}{4}\)
2 \(\frac{1}{3}\)
3 1
4 \(\frac{1}{2}\)
Work, Energy and Power

268920 A sphere \(A\) of mass \(m\) moving with certain velocity hits another stationary sphere \(B\) of different mass. If the ratio of velocities of the spheres after collision is \(\frac{V_{A}}{V_{B}}=\frac{1-e}{1+e}\), where \(e\) is coefficient of restitution. The initial velocity of sphere A with which it strikes is

1 \(V_{A}+V_{B}\)
2 \(V_{A}-V_{B}\)
3 \(V_{B}-V_{A}\)
4 \(\frac{\left(V_{B}+V_{A}\right)}{2}\)
Work, Energy and Power

268921 A ball A of mass \(3 \mathrm{~m}\) is placed at a distance \(d\) from the wall on a smooth horizontal surface. Another ball \(B\) of mass \(m\) moving with velocity u collides with ball A. The coefficient of restitution between the balls and the wall and
between the balls is \(e\)
a) the velocity of ball \(B\) after collision is \(\frac{u(3 e-1)}{4}\)
b) the velocity of ball \(B\) after collision is \(\frac{u(2 e+1)}{4}\)
c) after collision, ball A will move away by distance \(\frac{d(2 e+1)}{(2 e-1)}\) during the time ball \(B\) returns back to wall.
d) after collision, ball A will move away by distance \(\frac{d(e+1)}{(3 e-1)}\) during the time ball \(B\) returns back to wall

1 a,d
2 a,c
3 b,d
4 c,d
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Work, Energy and Power

268918 A wall moving with velocity \(2 \mathrm{cms}^{-1}\) towards the ball and ball is moving towards the wall with a velocity \(10 \mathrm{cms}^{-1}\). It hits the wall normally and makes elastic collision with wall. The velocity of ball after collision with wall in \(\mathrm{cms}^{-1}\)

1 12
2 8
3 14
4 16
Work, Energy and Power

268919 A body A moves towards a wall with velocity \(\mathrm{V}\). The wall also moves towards the body \(A\) with velocity \(V_{0}\). After collision the body moves in opposite direction with velocity \(V^{l}\) which is \(-1+\frac{2 V_{0}}{V} \theta\) times the velocity \(V\). The coefficient of restitution is

1 \(\frac{1}{4}\)
2 \(\frac{1}{3}\)
3 1
4 \(\frac{1}{2}\)
Work, Energy and Power

268920 A sphere \(A\) of mass \(m\) moving with certain velocity hits another stationary sphere \(B\) of different mass. If the ratio of velocities of the spheres after collision is \(\frac{V_{A}}{V_{B}}=\frac{1-e}{1+e}\), where \(e\) is coefficient of restitution. The initial velocity of sphere A with which it strikes is

1 \(V_{A}+V_{B}\)
2 \(V_{A}-V_{B}\)
3 \(V_{B}-V_{A}\)
4 \(\frac{\left(V_{B}+V_{A}\right)}{2}\)
Work, Energy and Power

268921 A ball A of mass \(3 \mathrm{~m}\) is placed at a distance \(d\) from the wall on a smooth horizontal surface. Another ball \(B\) of mass \(m\) moving with velocity u collides with ball A. The coefficient of restitution between the balls and the wall and
between the balls is \(e\)
a) the velocity of ball \(B\) after collision is \(\frac{u(3 e-1)}{4}\)
b) the velocity of ball \(B\) after collision is \(\frac{u(2 e+1)}{4}\)
c) after collision, ball A will move away by distance \(\frac{d(2 e+1)}{(2 e-1)}\) during the time ball \(B\) returns back to wall.
d) after collision, ball A will move away by distance \(\frac{d(e+1)}{(3 e-1)}\) during the time ball \(B\) returns back to wall

1 a,d
2 a,c
3 b,d
4 c,d
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Work, Energy and Power

268918 A wall moving with velocity \(2 \mathrm{cms}^{-1}\) towards the ball and ball is moving towards the wall with a velocity \(10 \mathrm{cms}^{-1}\). It hits the wall normally and makes elastic collision with wall. The velocity of ball after collision with wall in \(\mathrm{cms}^{-1}\)

1 12
2 8
3 14
4 16
Work, Energy and Power

268919 A body A moves towards a wall with velocity \(\mathrm{V}\). The wall also moves towards the body \(A\) with velocity \(V_{0}\). After collision the body moves in opposite direction with velocity \(V^{l}\) which is \(-1+\frac{2 V_{0}}{V} \theta\) times the velocity \(V\). The coefficient of restitution is

1 \(\frac{1}{4}\)
2 \(\frac{1}{3}\)
3 1
4 \(\frac{1}{2}\)
Work, Energy and Power

268920 A sphere \(A\) of mass \(m\) moving with certain velocity hits another stationary sphere \(B\) of different mass. If the ratio of velocities of the spheres after collision is \(\frac{V_{A}}{V_{B}}=\frac{1-e}{1+e}\), where \(e\) is coefficient of restitution. The initial velocity of sphere A with which it strikes is

1 \(V_{A}+V_{B}\)
2 \(V_{A}-V_{B}\)
3 \(V_{B}-V_{A}\)
4 \(\frac{\left(V_{B}+V_{A}\right)}{2}\)
Work, Energy and Power

268921 A ball A of mass \(3 \mathrm{~m}\) is placed at a distance \(d\) from the wall on a smooth horizontal surface. Another ball \(B\) of mass \(m\) moving with velocity u collides with ball A. The coefficient of restitution between the balls and the wall and
between the balls is \(e\)
a) the velocity of ball \(B\) after collision is \(\frac{u(3 e-1)}{4}\)
b) the velocity of ball \(B\) after collision is \(\frac{u(2 e+1)}{4}\)
c) after collision, ball A will move away by distance \(\frac{d(2 e+1)}{(2 e-1)}\) during the time ball \(B\) returns back to wall.
d) after collision, ball A will move away by distance \(\frac{d(e+1)}{(3 e-1)}\) during the time ball \(B\) returns back to wall

1 a,d
2 a,c
3 b,d
4 c,d
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Work, Energy and Power

268918 A wall moving with velocity \(2 \mathrm{cms}^{-1}\) towards the ball and ball is moving towards the wall with a velocity \(10 \mathrm{cms}^{-1}\). It hits the wall normally and makes elastic collision with wall. The velocity of ball after collision with wall in \(\mathrm{cms}^{-1}\)

1 12
2 8
3 14
4 16
Work, Energy and Power

268919 A body A moves towards a wall with velocity \(\mathrm{V}\). The wall also moves towards the body \(A\) with velocity \(V_{0}\). After collision the body moves in opposite direction with velocity \(V^{l}\) which is \(-1+\frac{2 V_{0}}{V} \theta\) times the velocity \(V\). The coefficient of restitution is

1 \(\frac{1}{4}\)
2 \(\frac{1}{3}\)
3 1
4 \(\frac{1}{2}\)
Work, Energy and Power

268920 A sphere \(A\) of mass \(m\) moving with certain velocity hits another stationary sphere \(B\) of different mass. If the ratio of velocities of the spheres after collision is \(\frac{V_{A}}{V_{B}}=\frac{1-e}{1+e}\), where \(e\) is coefficient of restitution. The initial velocity of sphere A with which it strikes is

1 \(V_{A}+V_{B}\)
2 \(V_{A}-V_{B}\)
3 \(V_{B}-V_{A}\)
4 \(\frac{\left(V_{B}+V_{A}\right)}{2}\)
Work, Energy and Power

268921 A ball A of mass \(3 \mathrm{~m}\) is placed at a distance \(d\) from the wall on a smooth horizontal surface. Another ball \(B\) of mass \(m\) moving with velocity u collides with ball A. The coefficient of restitution between the balls and the wall and
between the balls is \(e\)
a) the velocity of ball \(B\) after collision is \(\frac{u(3 e-1)}{4}\)
b) the velocity of ball \(B\) after collision is \(\frac{u(2 e+1)}{4}\)
c) after collision, ball A will move away by distance \(\frac{d(2 e+1)}{(2 e-1)}\) during the time ball \(B\) returns back to wall.
d) after collision, ball A will move away by distance \(\frac{d(e+1)}{(3 e-1)}\) during the time ball \(B\) returns back to wall

1 a,d
2 a,c
3 b,d
4 c,d