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Lecture_22web_2007

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Lecture 21 in a nutshell m = υ Momentum = P Units kgm/s momentum is a vector 1 2 1 2 fx fx ix ix + = + p p p p Total final momentum in 2D=total initial momentum in 2D For head on elastic collisions (only) 1 2 1 2 fy fy iy iy + = + p p p p ( 29 ( 29 1 1 2 2 i f f i + = + υ υ υ υ
Conservation of linear momentum: applications

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Rockets The expanding gas pushes the rocket Force up and down are balanced but not right left How do they work?
( 29 ( 29 ( 29 2 1.96 1 2 9.8 1.2 = - ( 29 2 2 cos 1 2 i gl θ = - υ A 40g bullet is fired horizontally with velocity of 100 m/s into a solid block of wood with mass 2kg, where it stays. The wooden block is suspended from the ceiling by a string with length 1.2m Q1. What is the angle of deviation of the string from vertical? Momentum/Energy, the ballistic pendulum Given: m1 = 0.04 kg m2 = 2 kg • v 1i = 100 m/s • l = 1.2 m Find: θ = ? 1 i υ θ l 2 i υ h f i = p p ( 29 1 1 1 2 2 i i m m m = + υ υ ( 29 1 1 2 1 2 i i m m m = + υ υ ( 29 2 0.04 100 2 0.04 i × = + υ 1.96 / m s = ( 29 ( 29 i f KE PE

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