Question
A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to:
- (i) t1/2
- (ii) t
- (iii) t3/2
- (iv) t2
Solution
C.
(iii) t3/2As
Power, P = force × velocity
Power, P = force × velocity
P = [MLT-2] [LT-1] = [ML2T-3]
As, P = [ML2T-3]
= constant
∴ L2T-3 = constant
L2/T3 = constant∴ L2 ∝ T3
L ∝ T3/2Tips: -
As
Power, P = force × velocity
Power, P = force × velocity
P = [MLT-2] [LT-1] = [ML2T-3]
As, P = [ML2T-3]
= constant
∴ L2T-3 = constant
L2/T3 = constant∴ L2 ∝ T3
L ∝ T3/2
