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NEET PHYSICSLAWS OF MOTIONEasy

Question

It is easier to draw up a wooden block along a smooth inclined plane than to haul it vertically, principally because:

A

The friction is reduced

B

The mass becomes smaller

C

Only a part of the weight has to be overcome

D

‘g’ becomes smaller

Step-by-Step Solution

  1. Vertical Lifting: To lift a block of mass mm vertically upwards, the applied force FverticalF_{vertical} must oppose the full force of gravity (weight). Thus, Fvertical=mgF_{vertical} = mg.
  2. Inclined Plane: On a smooth inclined plane making an angle θ\theta with the horizontal, the weight mgmg is resolved into two components:
  • Perpendicular to the plane: mgcosθmg \cos \theta (balanced by normal reaction).
  • Parallel to the plane: mgsinθmg \sin \theta (opposing upward motion).
  1. Comparison: The force required to pull the block up the smooth incline is Fincline=mgsinθF_{incline} = mg \sin \theta [Source 72].
  2. Conclusion: Since sinθ<1\sin \theta < 1 for any acute angle, Fincline<FverticalF_{incline} < F_{vertical}. The effort is reduced because only the component (part) of the weight (mgsinθmg \sin \theta) needs to be overcome, not the entire weight (mgmg). Mass and gg remain constant.

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 MOTIONeasierwoodensmoothinclinedvertically

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