As Work done = displacement × time,
Now, imagine that you put a body into space and applied a force now as body doesn't have any obstacle so it will keep on going till infinity. Hence displacement is infinite so work done is also infinite. And as K.E is rate of change of work done then K.E is also infinite (as w= infinite). Now your K.E is infinite and kinietic energy =1/2 ×(m)×(v×v) now to make Kinetic energy infinite either mass should be infinite or velocity should be in infinite
. Which both can certainly not.
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The situation assumed by you is a little absurd but can be explained as you know that the displacement will be infinite only when there is no obstacle as you mentioned in the question (that is certainly not possible practically ). You can take it theoretically then the velocity will change to infinite as W is infinite so F is also infinite (as F=m.a) accl. Will be infinite and velocity will be infinite for sure .
Note :- This is only possible theoretically.
Note :- This is only possible theoretically.
tapusaggarwal:
But Vishesh if you are telling me that theoretically velocity could be infinite but nothing could exeed the speed of light that is only my question that neither velocity could be infinite nor mass could be infinite so how could this happen.
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