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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. |
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Answer» (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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