Dynamics Of a Particle

1. N bullets each of mass m are fired with a velocity v m/s at the rate of n bullets/s, upon a wall. If the bullets are completely stopped by the wall, the reaction offered by the wall to the bullets is:
2. Minimum force required to pull the lower block is (take g = 10 m/s²):
3. A block of mass M is pulled along a horizontal smooth surface by a rope of mass m. force P is applied at one end of the rope. The force which the rope exert on the block is:
4. The acceleration of block of mass 5 kg is:
5. The blocks of masses m and M are not attached. The coefficient of static friction between the blocks is , but the surface beneath M is smooth. What is the maximum magnitude of the horizontal force F required to hold it against M:
6. See the arrangement shown in figure. If the acceleration of block B is a, then the acceleration of block A in magnitude will be:
7. A particle of mass m, initially at rest, is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is a semicircle. Then;\
8. Three blocks of masses 5 kg, 3 kg and 2 kg are placed on rough surface  as shown in figure. A horizontal force of 20 N is applied on 5 kg block. The force exerted by 3 kg block on 2 kg block is:
9. A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2s, it rotates through an angle . In the next 2s, it rotates through an additional angle . The ratio of  is:
10. A rotating system as shown in figure has a mass of 0.2 kg hanging from a cord of length 0.2 m. The length of the horizontal arm of the rotating apparatus is 0.1 m. For the cord to make an angle  with the vertical, the number of revolutions per second that the system should make will be:
11. A Painter is raising himself and the crate on which he stands with an acceleration of 5 m/s² by a massless rope-and-pulley arrangement. Mass of painter is 100 kg and that of the crate is 50 kg. If g = 10 m/s², then:
12. A rectangular prism (W) weighing 150 N, is lying on an inclined plane whose inclination with the horizontal is shown in figure. The block is tied up by a horizontal string, which has a tension of 50 N.

    The coefficient of friction between the surfaces of contact is: