If force \(F=500-100t,\) then the function of impulse with time will be:
1. \( 500 t-50 t^2 \)
2. \( 50 t-10 \)
3. \( 50-t^2 \)
4. \( 100 t^2\)
 

A small ball is suspended from a thread. If it is lifted up with an acceleration of 4.9 ms^–2 and lowered with an acceleration of 4.9 ms^–2, then the ratio of the tension in the thread in both cases will be:

1. 1 : 3
2. 3 : 1
3. 1 : 1
4. 1 : 5

If a ladder is not in a balanced condition against a smooth vertical wall, then it can be brought to a balanced condition by:

Two masses as shown are suspended from a massless pulley. What would be the acceleration of the system when masses are left free?

1. \(2g/3\)
2. \(g/3\)
3. \(g/9\)
4. \(g/7\)
(where \(g\) is the acceleration due to gravity.)

A body of mass 3 kg hits a wall at an angle of 60º & returns at the same angle. The impact time was 0.2 s. Calculate the force exerted on the wall.
       

1. 150 $\sqrt{3}$ N

2. 50 $\sqrt{3}$ N

3. 100 N

4. 75 $\sqrt{3}$ N

A mass of 1 kg is thrown up with a velocity of 100 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity of 25 m/s. Calculate the velocity of the other part.

1. 40 m/s upward

2. 40 m/s downward

3. 100 m/s upward

4. 60 m/s downward

A 1 kg stationary bomb explodes in three parts having mass 1 : 1 : 3 respectively. If parts having the same mass move in a perpendicular direction with a velocity of 30 m$s^{-1}$, then the velocity of the bigger part will be: 

1.  $10$ $\sqrt{2}$ $m{s}^{-1}$

2. $\frac{10}{\sqrt{2}}m{s}^{-1}$

3. $15$ $\sqrt{2}$ $m{s}^{-1}$

4.  $\frac{15}{\sqrt{2}}m{s}^{-1}$

If a lift of mass 1000 Kg is moving with an acceleration of 1 m/s² in an upward direction, then the tension developed in the string that is connected to the lift is: 

1. 9800 N

2. 10, 800 N

3. 11000 N

4. 10, 000 N

A monkey weighing 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up the rope? (g = 10 m/s²)

1. 5 m/s²

2. 10 m/s²

3. 25 m/s²

4. 2.5 m/s²

A man weighs 80 kg. He stands on a weighing scale in a lift that is moving upwards with a uniform acceleration of 5m/s². What would be the reading on the scale? (g = 10 m/s²)

1. Zero

2. 400 N

3. 800 N

4. 1200 N