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A body is moving unidirectionally under ...

A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in figure. Correctly shows the displacement-time curve for its motion ?

A

B

C

D

Text Solution

Verified by Experts

(b) Given power=constant
We know that powre (P)
`P=(dW)/(dt)=(F.ds)/(dt)=(F.ds)/(dt) (therefore "body is moving undirectly")`
Hence, `F.ds=Fds cos0^(@)`
`P=(Fds)/(dt)="constant"`
Now, writing dimensions lt`[F][v]="constant"`
`Rightarrow [MLT^(-2)][LT^(-1)]="constant"`
`Rightarrow L^(2)T^(-3)="constant" (therefore "mass of constant")`
`Rightarrow L alpha T^(3//2) Rightarrow "Displacement(d) alphat^(3//2)`
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