A satellite in force-free space sweeps stationary interplanetary dust at a rate \(\dfrac{dM}{dt}= \alpha v\) where \(M\) is the mass, \(v\) is the velocity of the satellite and \(\alpha\) is a negative constant. What is the deacceleration of the satellite?
1. \(\dfrac{-2\alpha v^2}{M}\)
2. \(\dfrac{-\alpha v^2}{M}\)
3. \(\dfrac{\alpha v^2}{M}\)
4. \(-\alpha v^2\)

Swimming is possible on account of:

1. First law of motion
2. Second law of motion
3. Third law of motion
4. Newton's law of gravitation

On a stationary sailboat, the air is blown at the sails from a fan attached to the boat. The boat will:

1. remain stationary

2. spin around

3. move in a direction opposite to that in which air is blown

4. move in the direction in which the air is blown

A man is standing on a spring platform. The reading of the spring balance is \(60\ \text{kg-wt}\). If a man jumps off the platform, then the reading of the spring balance:

1. first increases, then decreases to zero.

2. decreases.

3. increases.

4. remains the same.

A body of mass \(5\ \text{kg}\) is suspended by a spring balance on a smooth inclined plane as shown in the figure. The spring balance measures:

1. \(50\ \text{N}\)
2. \(25\ \text{N}\)
3. \(500\ \text{N}\)
4. \(10\ \text{N}\)

A lift is going up. The total mass of the lift and the passenger is \(1500\) kg. The lift's speed varies as shown in the graph. The tension in the rope pulling the lift at \(t=11 \ \text{s}\) will be:

      
1. \(17400\) N
2. \(14700\) N
3. \(12000\) N
4. Zero

A player caught a cricket ball of mass \(150\ \text{g}\) moving at a rate of \(20\ \text{m/s}\). If the catching process is completed in \(0.1\ \text{s}\), then the force of the blow exerted by the ball on the hands of the player is:

1. \(0.3\ \text{N}\)
2. \(30\ \text{N}\)
3. \(300\ \text{N}\)
4. \(3000\ \text{N}\)

A rocket of mass \(100\ \text{kg}\) ejects exhaust gases at a rate of \(1\ \text{kg/s}\) with a velocity of \(500\ \text{m/s}\) relative to the rocket. Neglecting external forces, the initial thrust produced by the rocket is:

1. Zero
2. \(500\ \text{N}\)
3. \(1000\ \text{N}\)
4. \(2000\ \text{N}\)

In which of the following cases will a force not be required to keep the particle in the given motion?
(A) The particle is going in a circle.
(B) The particle is moving in uniform straight-line motion.
(C) The momentum of the particle is constant.
(D) The acceleration of the particle is constant.

Choose the correct option from the given ones:
1. (A) and (B)
2. (A) and (D)
3. (B) and (C)
4. (C) and (D)

A ball of mass \(150\ \text{g}\) starts moving with an acceleration of \(20\ \text{m/s}^2\) when hit by a force, which acts on it for \(0.1\ \text{s}\). The impulsive imparted is:

1. \(0.5\ \text{N-s}\)
2. \(0.1\ \text{N-s}\)
3. \(0.3\ \text{N-s}\)
4. \(1.2\ \text{N-s}\)