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Among the following the INCORRECT statement is

  • A.Newton's second law relates the net external force to its acceleration.
  • B.Impulse is equal to the change in momentum.
  • C.Newton's second law is inconsistent with Newton's first law.
  • D.Same force acting on different bodies for the same time brings the same change in momentum.
  • E.Action and reaction act on different bodies.

Answer: C

The incorrect statement is Newton's second law is inconsistent with Newton's first law.

The second law, \(\vec{F} = \frac{d\vec{p}}{dt}\), contains the first: when the net external force is zero, momentum does not change, so a body stays at rest or in uniform motion. The two laws are consistent.

The other statements are correct. The second law relates net external force to acceleration. Impulse equals change in momentum. Since \(\Delta p = F\Delta t\), the same force for the same time gives the same change in momentum whatever the body's mass. Action and reaction act on different bodies, which is why they do not cancel.

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