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NEET PHYSICSLAWS OF MOTIONEasy

Question

In which of the following cases, a force will not be required to keep the particle in the given motion?

A

The particle is going in a circle

B

The particle is going along a straight line

C

The momentum of the particle is constant

D

The acceleration of the particle is constant

Step-by-Step Solution

  1. Newton's Second Law: The net external force acting on a particle is equal to the rate of change of its linear momentum (ecF=decpdt ec{F} = \frac{d ec{p}}{dt}) [Source 57, 69].
  2. Condition for No Force: For a force not to be required (ecF=0 ec{F} = 0), the rate of change of momentum must be zero. This implies that the momentum ecp ec{p} must be constant (ecp=constant ec{p} = \text{constant}).
  3. Analyze Options:
  • Circular Motion: The direction of velocity changes continuously, meaning momentum changes. This requires a centripetal force [Source 66].
  • Straight Line: A particle can move in a straight line with changing speed (acceleration). If it accelerates, force is required (F=maF=ma).
  • Constant Acceleration: A constant non-zero acceleration implies a constant non-zero force (F=maF=ma) [Source 55].
  • Constant Momentum: This satisfies the condition ecF=0 ec{F} = 0 directly.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from LAWS OF MOTION. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSLAWS OF MOTIONfollowingrequiredparticlemotion

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