1.

A body is moving in a straight line under the influence of a surce of constant power which supplies its energy continuously. Which of the above graphs shown between displacement 's' and time 'shows the true relation for its motion ?

Answer»




Solution :Since`P=Fv=(FS)/(t)`
impliesFS=Pt or `FS prop t` …(i)
Now `1/2at^2=S`
`IMPLIES a prop (S)/(t^2)`
Since F=ma
`implies F prop implies F prop (S)/(t^2)`
`:.` (i) GIVES `(S)/(t^2).S prop t`
`implies S^2 prop t^3implies S prop t^(3/2)`
THUS DISPLACEMENT `prop (t)^(3/4)`


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