In a very busy off-campus eatery one chef sends a 247-g broccoli-tomato-pickle-o

Question

In a very busy off-campus eatery one chef sends a 247-g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.67 m/s. Almost simultaneously, the other chef launches a 349-g veggieburger-on-a-bun (with everything, but hold the horseradish) along the same counter from right to left at 2.33 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?

Explanation / Answer

from conservation of momentum

mU1+Mu2=(m+M)v

v=0.247*1.67-0.349*2.33/0.596

v=0.4125-0.813/0.596=-0.672 m/sec

V < 0, therefore, the dish moves to the left.
Its speed is, rounding to three sig figs, 0.672 m/s

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