In a very busy off-campus eatery one chef sends a 221-g broccoli-tomato-pickle-o

Question

In a very busy off-campus eatery one chef sends a 221-g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.51 m/s. Almost simultaneously, the other chef launches a 337-g veggieburger-on-a-bun (with everything, but hold the horseradish) along the same counter from right to left at 2.21 m/s. The two delicacies collide head on at the given speeds–the counter is practically friction-free due to accumulated grease–and merge into a single, unbelievably savory serving. In what direction does the delectible dish move, if it moves at all?

At what speed does it move? Enter a positive number.

Explanation / Answer

Apply conservation of momentum

initial momentum = final momentum

221*1.51 + 337*(-2.21) = (221 + 337)*v

==> v = (221*1.51 + 337*(-2.21))/(221 + 337)

= -0.737 m/s

|v| = 0.737 m/s (moves towards left)

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