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Question

Which of the following scenarios best illustrates the principle of conservation of momentum?

The correct answer is

When a bullet is fired from a gun, the gun recoils in the opposite direction.

When a bullet is fired from a gun, the gun recoils in the opposite direction. is correct.

The law of conservation of momentum states that the total momentum of a system remains constant when no external force acts on it.

Before firing, the gun and bullet are at rest, so total momentum is zero. After firing, the bullet moves forward with momentum \(m_b v_b\), so the gun must move backward with equal momentum: \(m_b v_b + m_g v_g = 0\), giving \(v_g = -\dfrac{m_b v_b}{m_g}\). This backward motion is the recoil.

A ball speeding up on an incline shows gravity doing work (energy conversion); a car stopping by braking involves an external friction force; a satellite in orbit illustrates gravitation providing centripetal force. Only the recoil of the gun directly shows conservation of momentum.

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Similar Questions

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Important Questions from Laws of Motion

  1. Which of the following is correct?

    I. The mass of an object is a measure of its inertia

    II. In an isolated system the total momentum remains conserved

  2. A 20.0 kg block is placed on a smooth horizontal table. A horizontal force of 12.0 Newton is applied to the block. The position of the block at 5.0 sec is

  3. A subway train starts from rest at a station and accelerates at a rate of 3 ms-2 for 10s. It then runs at a constant speed for 20s and decelerates at 5 ms-2 unit it stops at the next station. The distance between the two stations is:

  4. In a desert, a beetle's motion sends fast longitudinal pulses, vL = 150 ms-1, and slower transverse pulses, vS = 50 ms-1, along the sand's surface. The sand scorpion has eight legs; spread roughly in a circle of 5 cm diameter, intercepts the faster longitudinal pulses 4.0 ms earlier than the slower transverse pulse. The pray is located at a distance of:

  5. Why do passengers in a moving car tend to jerk forward when the brakes are suddenly applied?
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