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Question

Question: A particle is projected making angle 45<sup>0</sup> with horizontal having kinetic energy K. The kin...

A particle is projected making angle 450 with horizontal having kinetic energy K. The kinetic energy at highest point will be

A

K2\frac{K}{\sqrt{2}}

B

K2\frac{K}{2}

C

2K

D

K

Answer

K2\frac{K}{2}

Explanation

Solution

Kinetic energy at the highest point K=Kcos2θ=Kcos245o=K/2K' = K\cos^{2}\theta = K\cos^{2}45^{o} = K/2