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Q. No.A block of mass \(m\) is released on the inclined face of smooth wedge of equal mass \(m,\) which lies on a smooth horizontal plane. The system is initially at rest. When the block reaches the bottom of the wedge, and just before it hits the plane, it has a horizontal velocity component (w.r.t., ground) of \(v.\) The velocity of the wedge is:
| 1. | \(v\) | 2. | \(2v\) |
| 3. | \(\dfrac{v}{2}\) | 4. | zero |
Subtopic: Â Linear Momentum |
 57%
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A spacecraft, moving in outer space where there are no gravitational fields, fires its rockets. The initial mass of the spacecraft was \(1000~\text{kg},\) and it was moving with a velocity of \(100~\text{m/s}.\) After firing its rockets, its mass becomes \(900~\text{kg}\) and its velocity becomes \(200~\text{m/s},\) along the same direction. The momentum of the exhaust gases, backward, is:
1. \(28\times10^4~\text{N-s}\)
2. \(18\times10^4~\text{N-s}\)
3. \(8\times10^4~\text{N-s}\)
4. \(4\times10^4~\text{N-s}\)
1. \(28\times10^4~\text{N-s}\)
2. \(18\times10^4~\text{N-s}\)
3. \(8\times10^4~\text{N-s}\)
4. \(4\times10^4~\text{N-s}\)
Subtopic: Â Linear Momentum |
 70%
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A meteorite of mass \(100~\text{kg}\) moving in space with a speed of \(20~\text{km/s}\) breaks up into two identical pieces, one of which travels in the original direction with a speed of \(40~\text{km/s.}\) The speed of the other piece:
| 1. | is zero |
| 2. | is \(20~\text{km/s}\) |
| 3. | is between \(20~\text{km/s}\) and \(40~\text{km/s}\) |
| 4. | is greater than \(20~\text{km/s}\) |
Subtopic: Â Linear Momentum |
 77%
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