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Physics

Out of the following, which statement does not relate to Newton's laws of motion?

  1. If a body A exerts a force on body B, then body B exerts an equal and opposite force on body A.
  2. The force needed to produce a given acceleration in a body is inversely proportional to the mass of the body.
  3. The rate of change of momentum of a body is directly proportional to the external force acting on the body and takes place in the direction of the force.
  4. A body continues in a state of rest or of uniform motion in a straight line unless acted upon by an external force.

Motion in One Dimension

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Answer

The force needed to produce a given acceleration in a body is inversely proportional to the mass of the body.

Reason — From Newton’s second law of motion,

F=ma\text F = \text {ma}

Here, force is directly proportional to both mass and acceleration so if acceleration is constant then force is directly proportional to mass, not inversely.

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