A bullet of mass 0.04 kg moving with a speed of 90 m/s enters a heavy fixed wooden block and is stopped after a distance of 60 cm. The average resistive force exerted by the block on the bullet is:

1.  0 N

2.  270 N

3.  370 N

4.  290 N

Subtopic: Â Application of Laws |
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The motion of a particle of mass $$m$$ is described by $$y=ut+\frac{1}{2}gt^{2}.$$  The force acting on the particle is:
1. $$3mg$$
2. $$mg$$
3. $$\frac{mg}{2}$$
4. $$2mg$$

Subtopic: Â 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 $$g=10$$ ${\mathrm{ms}}^{-2}$). Neglect the mass of the rope.

1. $$90^\circ$$
2. $$30^\circ$$
3. $$40^\circ$$
4. $$0^\circ$$

Subtopic: Â Application of Laws |
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What is the acceleration of the block and tension in the string of the block and trolley system shown in a figure, if the coefficient of kinetic friction between the trolley and the surface is $$0.04$$? (Take $$g=10~\mathrm{m/s^2}$$${}^{}$). Neglect the mass of the string.

 1 $$9.6~\mathrm{m/s^2}$$ and $$27.1~\mathrm{N}$$ 2 $$9.6~\mathrm{m/s^2}$$ and $$2.71~\mathrm{N}$$ 3 $$0.96~\mathrm{m/s^2}$$ and $$27.1~\mathrm{N}$$ 4 $$0.63~\mathrm{m/s^2}$$ and $$30~\mathrm{N}$$
Subtopic: Â Application of Laws |
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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: Â Application of Laws |
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