Moderate

Two bodies of unequal mass, placed at rest on a frictionless surface, are acted on by equal horizontal forces for equal times. Just after these forces are removed, the body of greater mass will have:

Correct answer: A. The smaller acceleration

  • A. The smaller acceleration
  • B. The greater acceleration
  • C. The smaller momentum
  • D. The greater momentum

Explanation

According to Newton's Second Law of Motion, F = ma or a = F/m. When two bodies of unequal mass are subjected to equal forces, the acceleration is inversely proportional to the mass. Therefore, the body with the greater mass will have a smaller acceleration. Options B, C, and D are incorrect as they either misinterpret the relationship between mass and acceleration or confuse acceleration with momentum.

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About Force and Motion

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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