Q.28
The potential energy of a projectile at maximum
height is 3/4 times kinetic energy of projection.
Its angle of projection is
(1) 30°
(2) 45°
(3) 60°
(4) none
Answers
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Answer: Let the angle of projection be ¢ and projection velocity be u.
The at max. height
U = (Ki*3)/4
Here, ki is initial kinetic energy.
Max height is [u^2sin^¢]/2g
=> [mg*u^2sin^2¢]/2g = [3mu^2]/8
=> sin^2¢ = 3/4
=> sin¢ =√3/2
=> ¢ = 60°
So, the angle of projection is 60°.
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