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Q5.10: NCERT Physics - Part 1 WORK, ENERGY AND POWER 5.10 Solution: A body is moving unidirectionally under the influence of a…
A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to (i) t^(1/2) (ii) t (iii) t^(3/2) (iv) t_
Step-by-Step Verified Solution
**Answer:** (iii) t^(3/2)
**Step-by-Step Explanation:**
Power P = Fv = constant. So F = P/v.
Also, F = m(dv/dt). So m(dv/dt) = P/v.
v dv = (P/m) dt. Integrating: v_/2 = (P/m)t, so v _ t^(1/2).
Displacement s = �v dt _ �t^(1/2) dt _ t^(3/2).
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