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NEET PHYSICSEasy

A particle moving with velocity v\vec{v} is acted by three forces shown by the vector triangle PQRPQR. The velocity of the particle will:

A

change according to the smallest force QR\vec{QR}

B

increase

C

decrease

D

remain constant

Step-by-Step Solution

  1. Equilibrium Condition: The problem states that the three forces acting on the particle are represented by the sides of a vector triangle PQRPQR. According to the triangle law of vector addition, if three vectors represented by the sides of a triangle are taken in the same order, their resultant (vector sum) is zero [NCERT Class 11, Physics Part I, Chapter 4, Section 4.8].
  2. Net Force: Consequently, the net external force acting on the particle is zero (Fnet=0\vec{F}_{net} = 0).
  3. Newton's First Law: According to Newton's First Law of Motion, if the net external force on a body is zero, its acceleration is zero, and it continues to move with a constant velocity [NCERT Class 11, Physics Part I, Chapter 4, Section 4.5]. Therefore, the velocity of the particle remains constant.
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