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NEET PHYSICSLAWS OF MOTIONMedium

Question

A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:

A

along south-west

B

along eastward

C

along northward

D

along north-east

Step-by-Step Solution

  1. Identify the Principle: According to Newton's Second Law of Motion, the net force (mathbfF\\mathbf{F}) acting on an object is proportional to the rate of change of momentum (dmathbfp/dtd\\mathbf{p}/dt). Since mass is constant, the direction of force is the same as the direction of the change in velocity (Deltamathbfv\\Delta \\mathbf{v}). mathbfFproptoDeltamathbfp=m(mathbfvfmathbfvi)\\mathbf{F} \\propto \\Delta \\mathbf{p} = m(\\mathbf{v}_f - \\mathbf{v}_i)
  2. Analyze Vectors:
  • Initial Velocity (mathbfvi\\mathbf{v}_i): Southward.
  • Final Velocity (mathbfvf\\mathbf{v}_f): Eastward.
  • Change in Velocity (Deltamathbfv\\Delta \\mathbf{v}): mathbfvfmathbfvi=mathbfvf+(mathbfvi)\\mathbf{v}_f - \\mathbf{v}_i = \\mathbf{v}_f + (-\\mathbf{v}_i).
  1. Determine Direction:
  • The vector mathbfvi-\\mathbf{v}_i points North (opposite to South).
  • The vector mathbfvf\\mathbf{v}_f points East.
  • The resultant of a Northward vector and an Eastward vector acts along the North-East direction.
  1. Conclusion: The force responsible for the turn (friction) acts along the North-East direction. (Reference: NCERT Class 11, Physics Part I, Chapter 4: Motion in a Plane, Section 4.7-4.9 discusses vector subtraction; Chapter 5: Laws of Motion, Section 5.5 discusses force and momentum change [1]).

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 MOTIONfootballplayermovingsouthwardsuddenly

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