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AIPMT> A BALL IS PROJECTED VERTICALLY UPWARDS . ...

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A BALL IS PROJECTED VERTICALLY UPWARDS . ITS POTENTIAL ENERGY AND KINETIC ENERGY AT A POINT ARE IN THE RATIO 4: 3. IF THE SAME BALL IS PROJECTED WITH DOUBLETHE SPEED THEN THE RATIO OF KINETIC AND POTENTIAL ENERGY IS WHAT AT THE SAME POINT ?

RAGINI SEIWAL , 6 Years ago

Grade 12

1 Answers

Eshan

Last Activity: 6 Years ago

Let the kinetic energy be $K=\dfrac{1}{2}mv^2$
Hence potential energy= $P=\dfrac{4}{3}K$

If the speed of ball is doubled, kinetic energy becomes $K'=\dfrac{1}{2}m(2v)^2=4K$
But since the height of the ball in the second case is same, the potential energy of the ball is same.

Hence the new ratio= $\dfrac{K'}{P}=\dfrac{4K}{4K/3}=3:1$

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