Which is a statement of the principle of conservation of momentum?
Correct answer: D. The total momentum of a system of interacting bodies remains constants, providing no external force acts
- A. A force is equal to the rate of change of momentum of the body upon which it acts.
- B. In a perfectly elastic collision, the relative momentum of the bodies before impact is equal to their relative momentum after impact.
- C. The momentum of a body is the product of the mass of the body and its velocity.
- D. The total momentum of a system of interacting bodies remains constants, providing no external force acts
Explanation
Let's analyze each option to determine which one represents the principle of conservation of momentum: A) A force is equal to the rate of change of momentum of the body upon which it acts: This statement is known as Newton's second law of motion, which relates force, mass, and acceleration. It does not directly represent the principle of conservation of momentum. B) In a perfectly elastic collision, the relative momentum of the bodies before impact is equal to their relative momentum after impact: This statement describes the conservation of relative momentum in a perfectly elastic collision. In an elastic collision, both momentum and kinetic energy are conserved. However, this option specifically mentions relative momentum, which is not a general statement of the principle of conservation of momentum. C) The momentum of a body is the product of the mass of the body and its velocity: This statement defines momentum, which is indeed the product of mass and velocity. While it provides a key understanding of momentum, it does not encompass the principle of conservation of momentum. D) The total momentum of a system of interacting bodies remains constant, providing no external force acts: This statement represents the principle of conservation of momentum. According to this principle, the total momentum of a system of interacting bodies (in the absence of external forces) remains constant before and after the interaction. It implies that the total momentum of the system is conserved, regardless of the individual changes in momentum for each body involved. In summary, the correct answer is D) The total momentum of a system of interacting bodies remains constant, providing no external force acts, which represents the principle of conservation of momentum.
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Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.
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