Q. No.The total work done on a particle is equal to the change in its kinetic energy:
1.
always
2.
only if the forces acting on it are conservative
3.
only if gravitational force alone acts on it
4.
only if elastic force alone acts on it
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:
| (A) | Its velocity is constant. |
| (B) | Its acceleration is constant. |
| (C) | Its kinetic energy is constant. |
| (D) | It moves in a circular path. |
Choose the correct option from the options given below:
| 1. | (A) and (B) only |
| 2. | (B) and (C) only |
| 3. | (C) and (D) only |
| 4. | (A) and (C) only |
Consider two observers moving with respect to each other at a speed v along a straight line. They observe a block of mass m moving a distance I on a rough surface. The following quantities will be same as observed by the two observers
1. kinetic energy of the block at time t
2. work done by friction
3. total work done on the block
4. acceleration of the block
You lift a suitcase from the floor and keep it on a table. The work done by you on the suitcase does not depend on:
| a. | the path is taken by the suitcase |
| b. | the time is taken by you in doing so |
| c. | the weight of the suitcase |
| d. | your weight |
Choose the correct option:
| 1. | (a), (b) and (d) |
| 2. | (b), (c) and (d) |
| 3. | (a), (c) and (d) |
| 4. | all of these |
No work is done by a force on an object if:
| a. | the force is always perpendicular to its velocity. |
| b. | the force is always perpendicular to its acceleration. |
| c. | the object is stationary but the point of application of the force moves on the object. |
| d. | the object moves in such a way that the point of application of the force remains fixed. |
Choose the correct option:
| 1. | (a), (b), (c) |
| 2. | (a), (c), (d) |
| 3. | (b), (c), (d) |
| 4. | all of the above |
| (a) | The string becomes slack when the particle reaches its highest point. |
| (b) | The velocity of the particle becomes zero at the highest point. |
| (c) | The kinetic energy of the ball in its initial position was \(\dfrac{1}{2}mv^2 = mgl.\) |
| (d) | The particle again passes through the initial position. |
Choose the correct option from the options given below:
| 1. | (a) and (b) only |
| 2. | (b) and (c) only |
| 3. | (c) and (d) only |
| 4. | (a) and (d) only |
The kinetic energy of a particle continuously increases with time. Then, we can conclude that:
| (a) | The resultant force on the particle must be parallel to the velocity at all instants. |
| (b) | The resultant force on the particle must be at an angle less than \(90^{\circ}\) all the time. |
| (c) | Its height above the ground level must continuously decrease. |
| (d) | The magnitude of its linear momentum is increasing continuously. |
Choose the correct option from the given ones:
| 1. | (a) and (b) only | 2. | (b) and (c) only |
| 3. | (b) and (d) only | 4. | (c) and (d) only |
| (a) | The spring was initially compressed by a distance \(x\) and was finally in its natural length. |
| (b) | It was initially stretched by a distance of \(x\) and finally was in its natural length. |
| (c) | It was initially in its natural length and finally in the compressed position. |
| (d) | It was initially in its natural length and finally in a stretched position. |
Choose the correct option from the given ones:
| 1. | (a) and (b) only |
| 2. | (b) and (c) only |
| 3. | (c) and (d) only |
| 4. | (a), (b), (c), (d) |
A block of mass M is hanging over a smooth and light pulley through a light string. The other end of the string is pulled by a constant force F. The kinetic energy of the block increases by 20 J in 1 s.
1. The tension in the string is Mg
2. The tension in the string is F
3. The work done by the tension on the block is 20 J in the above 1 s
4. The work done by the force of gravity is –20 J in tie above 1 s
A bullet hits a block kept at rest on a smooth horizontal surface and gets embedded into it. Which of the following does not change?
| 1. | linear momentum of the block |
| 2. | kinetic energy of the block |
| 3. | gravitational potential energy of the block |
| 4. | temperature of the block |
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