-->

Motion In Straight Line

Question
CBSEENPH11020606

A uniform force of (3 j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2 k) m to position ( 4 + 3 k) m. The work done by the force on the particle is,

  • 9 J

  • 6 J

  • 13 J

  • 15 J

Solution

A.

9 J

Given,
Force, F = 3 i + j
r1 = ( 2 i + k) m
r2 = (4 i + 3 j - k) m
Therefore,
S = r2 - r1
  equals space left parenthesis 4 space straight i space plus space 3 space straight j space minus space straight k right parenthesis space minus space left parenthesis space 2 straight i space plus space straight k right parenthesis
equals space left parenthesis 2 space straight i space plus space 3 space straight j space minus space 2 space straight k right parenthesis straight m
Therefore,
W = F. s
    = (3i + j). (2 i +3j - 2k)
    = 3 x2 + 3x0
    = 6 + 3 = 9 J