In the figure given below, a wooden block of mass \(2~\text{kg}\) rests on a soft horizontal floor. When an iron cylinder of mass \(25~\text{kg}\) is placed on top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of \(0.1~\text{m/s}^{2}.\) What is the force of the block on the floor after the floor yields? (Take \(g=10~\text{m/s}^{2}\).)
1. \(270~\text{N}\) upward
2. \(267.3~\text{N}\) downward
3. \(20~\text{N}\) downward
4. \(267.3~\text{N}\) upward
1. | \(6\) m/s2 | 2. | \(3\) m/s2 |
3. | \(1.5\) m/s2 | 4. | \(1.2\) m/s2 |
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 |
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. | \(0^\circ\) |
1. | \(80~\text{N}\) | 2. | \(60~\text{N}\) |
3. | \(40~\text{N}\) | 4. | \(100~\text{N}\) |