Physics_7A_-_Spring_2006_-_Lanzara_-_Midterm_2_Solutions

# Physics_7A_-_Spring_2006_-_Lanzara_-_Midterm_2_Solutions -...

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Problem 4 a) dt dv t M a t M v dt dm dt v dm dt dp F r r ) ( ) ( * = = = = = Here v r is the relative velocity between water and the cart. Since the velocity of water is changing from v w to V(t), ). ( t v v v w r ! = So )) ( ( ) ( 1 ) ( 1 t v v dt dm t M v dt dm t M dt dv w r ! = = . b) dt dl dt dl dl dm dt dm ! = = * & r v dt dl = is also the relative velocity between water and the cart. Finally )). ( ( t v v v dt dm w r ! = = " " If you find it’s not so easy to understand why it should be the relative velocity, not v
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Unformatted text preview: w , just try to switch to the moving frame of the cart. Image you’re moving with the cart, the velocity of the water now becomes v w-v(t), then it become natural that )) ( ( t v v w ! represents the amount of water coming into collision with the cart in the time interval dt....
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