a body of mass m is projected with u initial speed at angle theta with horizontal.change in momentum after time t

Asked by priyankaranijha2001 | 1st Feb, 2021, 07:17: PM

Expert Answer:

At t = 0 , Horizontal component of velocity = u cosθ
After time t , Horizontal componenet of velocity = u cosθ
 
At t = 0 , vertical component of velocity = u sinθ
After time t , vertical componenet of velocity = ( u sinθ ) - ( g t )
 
Let horizontal component is parallel to x-axis of cartesian coordinate system and
vertical component coincide with y-axis of cartesian system.
 
Momentum in vector form at t = 0 , Pi = m [ ( u cosθ ) begin mathsize 14px style i with hat on top end style + ( u sinθ  ) begin mathsize 14px style j with overbrace on top end style ]
Then momentum in vector form after time t , Pf = m [ ( u cosθ ) begin mathsize 14px style i with hat on top end style + ( u sinθ  -  g t ) begin mathsize 14px style j with overbrace on top end style ]
Change in momentum ΔP = Pf - Pi = -m ( gt ) begin mathsize 14px style j with overbrace on top end style 
 

Answered by Thiyagarajan K | 1st Feb, 2021, 08:38: PM

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