- 1(current)
Q. No.Choose the incorrect alternative:
| 1. | Newton's first law is the law of inertia. |
| 2. | Newton's first law states that if the net force on a system is zero, the acceleration of any particle of the system is not zero. |
| 3. | Action and reaction act simultaneously. |
| 4. | The area under the force-time graph is equal to the change in momentum. |
The force \(\mathrm{F}\) acting on a particle of mass \(\mathrm{m}\) is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from \(0\) to \(8\) s is:
| 1. | \(24\) N-s | 2. | \(20\) N-s |
| 3. | \(12\) N-s | 4. | \(6\) N-s |
On the application of an impulsive force, a sphere of mass \(500\) g starts moving with an acceleration of \(10\) m/s2. The force acts on it for \(0.5\) s. The gain in the momentum of the sphere will be:
1. \(2.5\) kg-m/s
2. \(5\) kg-m/s
3. \(0.05\) kg-m/s
4. \(25\) kg-m/s
A rigid ball of mass \(M\) strikes a rigid wall at \(60^{\circ}\) and gets reflected without loss of speed, as shown in the figure. The value of the impulse imparted by the wall on the ball will be:
| 1. | \(Mv\) | 2. | \(2Mv\) |
| 3. | \(\frac{Mv}{2}\) | 4. | \(\frac{Mv}{3}\) |
The variation of momentum with the time of one of the bodies in a two-body collision is shown in fig. The instantaneous force is the maximum corresponding to the point:
1. P
2. Q
3. R
4. S
A particle moves in the XY-plane under the action of a force F such that the components of its linear momentum p at any time t are \(p_x = 2 \cos t\), \(p_y = 2 \sin t\) . The angle between F and p at time t will be:
| 1. | 90° | 2. | 0° |
| 3. | 180° | 4. | 30° |
- 1(current)
Q. No.
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