5. Find the magnitude of change in momentum of an oblique projectile during its whole journey if velocity and
angle of projection are v, and respectively.
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11th
Physics
Work, Energy and Power
Conservation of Energy
Change in momentum of a pro...
PHYSICS
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Asked on December 26, 2019 by
Janak Navya
Change in momentum of a projectile in half the time of flight if momentum of projection is mu at angle θ?
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The object is projected at an angle θ
So, initial velocity be, u
i
= ucosθ
i
^
+usinθ
j
^
The vertical component that lifting the body upward is usinθ
j
^
In projectile motion, horizontal component of velocity remains unchanged.
Therefore in total time of flight, ie; at the end of the motion,
velocity is, u
f
=cosθ
i−
^
sinθ
j
^
Thus change in velocity in the motion, Δv=u
f
−u
i
Δu=−2usinθ
So, change in momentum, ΔP=−2musinθ
This is the change in momentum in total time of flight.
In half of time of flight, change in momentum is= -musinθ
So the magnitude of change in momentum is in half of time of flight is musinθ
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