A body of mass M is projected with initial speed u at an angle theta with the horizontal. What is the change in momentum of the body after time T ?
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Explaination :-
As we know that a projectile action is a combination to
horizontal and vertical movement. The vertical part of initial velocity ‘ u ’
always remains steady ,i.e. in this case , u x= u cos o , throughout the
motion. So alter in momentum in horizontal direction is zero
Now analyzing the vertical movement we know initial velocity
in vertical course u y = u sin o.
After time t , v y = u sin o – g t , ( equation of motion
i.e v = u + a t )
Thus, Change in momentum in vertical track = m . v y – m . u
y
= m . ( u sin o – g t ) - ( m . u sin o )
= - m g t
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