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Question

A ball whose kinetic energy is E is thrown at an angle of 45 with the horizontal. Its kinetic energy at the highest point of its trajectory will be:


A

E

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B

E2

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C

E2

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D

Zero

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Solution

The correct option is C

E2


Let m be mass of the ball. If v is its speed of projection, its kinetic energy is
E=12mv2
At the highest point, the velocity of the particle is v=v cos θ=v cos 45=v2. Therefore its kinetic energy at this point is
E=12mv2=12m(v2)2=12×12mv2=E2
Hence, the correct choice is (c).


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