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The displacement x of particle moving in...

The displacement `x` of particle moving in one dimension, under the action of a constant force is related to the time `t` by the equation ` t = sqrt(x) +3`
where `x is in meters and t in seconds` . Find
(i) The displacement of the particle when its velocity is zero , and
(ii) The work done by the force in the first ` 6 seconds`.

A

0 J

B

2 J

C

4 J

D

6 J

Text Solution

Verified by Experts

The correct Answer is:
A
We can refer to equation (ii) from solution to previous question .
`v = 2t -6`
At `t = 0 rArr v_(1) =6 `m/s
At `t = 6 s rArr v_(2) = 12-6 = 6 ` m/s
We can see that there is no change in speed of the particle hence there is no change in kinetic energy of the particle . So work done by the force is zero .
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