Work, Energy and Power NCERT Solutions Class 11 Physics - Solved Exercise Question 6.11

Question 6.11:
A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by
F = -i + 2 j + 3 k  N
Where i, j, k are unit vectors along the x-, y- and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the z-axis?

Solution:
Force exerted on the body,  F = -i + 2 j + 3 k  N
Displacement, s = 4 k  m
Work done, W = F.s
= (-i + 2 j + 3 k).(4 k)
= 0 +0 + 3 X 4
= 12 J
Hence, 12 J of work is done by the force on the body.

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