Work Power and Energy 5 Question 13
16. The displacement of a particle moving in one dimension, under the action of a constant force is related to the time by the equation where is in metre and in second. Find
(1980)
(a) the displacement of the particle when its velocity is zero, and
(b) the work done by the force in the first
Match the Column
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Answer:
Correct Answer: 16. (a) zero (b) zero
Solution:
- Given,
or
Differentiating this equation with respect to time, we get
(a)
Substituting in Eq. (i), we get
or
i.e. displacement of particle when velocity is zero is also zero.
(b) From Eq. (iii), speed of particle at
and at
From work energy theorem,
Work done