A body is projected at an angle 60° from surface
of earth with velocity √2gR. Final K.E. of object
is (symbols have usual meanings)
(1) Zero
(2) mgR
3)mgR/2
(4) Infinite
Answers
Answer:(2)mgr
Explanation: Using conversion of kinetic energy as initial and final level of body is same.
answer : option (2) mgR
explanation : when a particle is projected with speed u at an angle θ, it will strike the ground with same speed u ( just opposite in direction)
so, final speed of body , v = √2gR
and then final kinetic energy = 1/2 mv²
= 1/2 m(2gR)
= mgR
[ don't confuse to see escape velocity √2gR, effective speed of particle in vertical direction is √2gR sin60° = √(3gR/2) < √2gR ]
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