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posted by  NDFLBO on 11/3/2009 3:19:33 PM  |  status: Closed  |  Earned Karma: 50

Shopping Cart

Course Textbook Chapter Problem Needs by
Calculus Based Physics Principles of Physics (3rd) by Serway, Jewett N/A N/A 11/7/2009 at 8:00:00 PM
Question Details:
Your shopping cart is moving without friction with constant velocity down and aisle in the grocery store. You drop a large can of beef stew straight down into the cart.
A)The cart speeds up because its mass has increased
B)The cart remains exactly the same velocity, because only its mass has increased
C)The cart slows down because its momentum is distributed over a larger mass
D)The cart remains exactly the same velocity, beacuse velocity is conserved
E)The cart speeds up because its momentum has increased
Hint:
No force acts in the horizontal direction, the horizontal component of the momentum is constant.
(mass of cart)*v(before) = (mass of cart + can)*v(after)
v(after) = v(before)*(mass of cart)/(mass of cart + can)
(mass of cart)/(mass of cart + can) < 1.
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Oracle
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posted by redcloud173 on 11/3/2009 3:34:01 PM  |  status: Live
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Response Details:
C)The cart slows down because its momentum is distributed over a larger mass

the concept here is conservation of linear momentum.  the can initially had zero momentum and the cart had all of the initial momentum.  when the can was dropped into the cart, momentum from the cart was transferred to the can, such that they are both moving at the same velocity.  since the momentum of the cart was decreased, it follows that the velocity had to decrease.
feel free to send me a message if something isn't clear. and please rate me.
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