In the figure given below, a wooden block of mass \(2\) kg rests on a soft horizontal floor. When an iron cylinder of mass \(25\) kg is placed on top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of \(0.1~\mathrm{m/s^2}\). What is the force of the block on the floor after the floor yields? (Take \(g=10~\mathrm{m/s^2}\).)

1. \(270\) N upward
2. \(267.3\) N downward
3. \(20\) N downward
4. \(267.3\) N upward

Subtopic:  Application of Laws |
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A constant force \(F\) is applied to the string so that the \(3\) kg block does not move, but the \(5\) kg block moves horizontally. The acceleration of the \(5\) kg block is: (take \(g=10\) m/s2)
                  
1. \(6\) m/s2
2. \(3\) m/s2
3. \(1.5\) m/s2
4. \(1.2\) m/s2
Subtopic:  Application of Laws |
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Conservation of momentum in a collision between particles can be understood from:

1. conservation of energy
2. newton's first law only
3. newton's second law only
4. both Newton's second and third law
Subtopic:  Newton's Laws | Application of Laws |
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See the figure given below. A mass of \(6\) kg is suspended by a rope of length \(2\) m from the ceiling. A force of \(50\) N is applied at the mid-point \(P\) of the rope in the horizontal direction, as shown. What angle does the rope make with the vertical in equilibrium? (Take \(g=10~\text{ms}^{-2}\)). Neglect the mass of the rope.

         

1. \(90^\circ\) 2. \(30^\circ\)
3. \(40^\circ\) 4. \(0^\circ\)
Subtopic:  Application of Laws |
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The system of blocks is pulled up by force as shown in the figure. The force exerted on the \(3\) kg block by the connecting string is:
             
1. \(80~\text{N}\) 2. \(60~\text{N}\)
3. \(40~\text{N}\) 4. \(100~\text{N}\)
Subtopic:  Application of Laws |
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