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JEE PHYSICS MCQ: LAWS OF MOTION

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A cannon after firing recoils due to
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Correct option: C
Newton’s third law of motion
Option C is correct because the recoil of a cannon after firing is a direct application of Newton's third law of motion (action-reaction).

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A machine gun has a mass 5 kg5 {~kg}. It fires 50 gram bullets at the rate of 30 bullets per minute at a speed of 400 ms−1400 {~ms}^{-1}. What force is required to keep the gun in position? A particle of mass 4 m4 {~m} which is at rest explodes into three fragments. Two of the fragments each of mass mm are found to move with a speed of vv each in mutually perpendicular direction. The total energy released in the process is A block of mass ‘m’ rests on a rough inclined plane making an angle 30∘30^\circ with the horizontal. The co-efficient of static friction between the block and the plane is 0.8. If force of friction on the block is 10 N, the mass of the block is (g=10 ms−2).\left( {g = 10\,m{s^{ - 2}}} \right). Statement-1: A shell at the origin explodes into three pieces of masses 1 kg,2 kg1 \mathrm{~kg}, 2 \mathrm{~kg} and m kgm \mathrm{~kg}. The 1 kg1 \mathrm{~kg} and 2 kg2 \mathrm{~kg} pieces fly off with speeds 12 m/s12 \mathrm{~m} / \mathrm{s} along the xx-axis and 8 m/s8 \mathrm{~m} / \mathrm{s} along the yy-axis respectively. If m kg{m} \,\mathrm{kg} piece flies off with speed 40 m/s40 \mathrm{~m} / \mathrm{s}, the total mass of the shell must be 3.5 kg3.5 \mathrm{~kg}.
Statement-2: The law of conservation of linear momentum holds good.
For a system to follow the law of conservation of linear momentum during a collision , the condition is
Total external force acting on the system is zero.
Total external force acting on the system finite and time of collision is negligible.
Total internal force acting on the system is zero.
If force on a rocket having exhaust velocity of 300 m/sec300 \mathrm{~m} / \mathrm{sec} is 210 N, then rate of combustion of the fuel is:
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