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Q. No.A ball of mass \(0.5~\text{kg}\) is dropped from a height of \(40~\text{m}.\) The ball hits the ground and rises to a height of \(10~\text{m}.\) The impulse imparted to the ball during its collision with the ground is:
(take \(g=9.8~\text{m/s}^2\))
(take \(g=9.8~\text{m/s}^2\))
| 1. | \(0\) | 2. | \(84~\text{N-s}\) |
| 3. | \(21~\text{N-s}\) | 4. | \(7~\text{N-s}\) |
Subtopic: Newton's Laws |
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There are two inclined surfaces of equal length \((L)\) and same angle of inclination \(45^\circ\) with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes \(2\) times as much time to slide down on rough surface than on the smooth surface. The coefficient of kinetic friction \((\mu_k)\) between the object and the rough surface is close to:
1. \(0.5\)
2. \(0.75\)
3. \(0.25\)
4. \(0.40\)
1. \(0.5\)
2. \(0.75\)
3. \(0.25\)
4. \(0.40\)
Subtopic: Friction |
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A bob is whirled in a horizontal plane by means of a string with an initial speed of \(\omega\) rpm. The tension in the string is \(T\). If speed becomes \(2\omega\) while keeping the same radius, the tension in the string becomes:
| 1. | \(4 T\) | 2. | \(\dfrac{T}{4}\) |
| 3. | \(\sqrt{2} T\) | 4. | \(T\) |
Subtopic: Uniform Circular Motion |
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A horizontal force \(10~\text N\) is applied to a block \(A\) as shown in figure. The mass of blocks \(A\) and \(B\) are \(2~\text{kg}\) and \(3~\text{kg}\), respectively. The blocks slide over a frictionless surface. The force exerted by block \(A\) on block \(B\) is :
1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
Subtopic: Application of Laws |
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A bob is whirled in a horizontal circle by means of a string at an initial speed of \(10\) rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is:
| 1. | \(20\) rpm | 2. | \(40\) rpm |
| 3. | \(5\) rpm | 4. | \(10\) rpm |
Subtopic: Uniform Circular Motion |
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A box of mass \(5 ~\text{kg}\) is pulled by a cord, up along a frictionless plane inclined at \(30^\circ\) with the horizontal. The tension in the cord is \(30~\text N.\) The acceleration of the box is: (take \(g=10~\text{ms}^{-2}\))
| 1. | \(2~\text{ms}^{-2}\) | 2. | zero |
| 3. | \(0.1~\text{ms}^{-2}\) | 4. | \(1~\text{ms}^{-2}\) |
Subtopic: Tension & Normal Reaction |
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A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:
| 1. | along south-west | 2. | along eastward |
| 3. | along northward | 4. | along north-east |
Subtopic: Newton's Laws |
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Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is \(0.15\). (take \(g=10\) ms–2)
| 1. | \(50\) ms–2 | 2. | \(1.2\) ms–2 |
| 3. | \(150\) ms–2 | 4. | \(1.5\) ms–2 |
Subtopic: Friction |
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A block of mass \(2\) kg is placed on inclined rough surface \(AC\) (as shown in the figure) of coefficient of friction \(\mu.\) If \(g=10\) ms–1, the net force (in N) on the block will be:
1. \(10\sqrt3\)
2. zero
3. \(10\)
4. \(20\)
1. \(10\sqrt3\)
2. zero
3. \(10\)
4. \(20\)
Subtopic: Friction |
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A \(1\) kg object strikes a wall with velocity \(1\) ms–1 at an angle of \(60^\circ\) with the wall and reflects at the same angle. If it remains in contact with the wall for \(0.1\) s, then the force exerted on the wall is:
1. \(30\sqrt3~\text N\)
2. zero
3. \(10\sqrt3~\text N\)
4. \(20\sqrt3~\text N\)
1. \(30\sqrt3~\text N\)
2. zero
3. \(10\sqrt3~\text N\)
4. \(20\sqrt3~\text N\)
Subtopic: Newton's Laws |
82%
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