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In a very busy off-campus eatery one chef sends a 235-g broccoli-tomato-pickle-o

ID: 1967117 • Letter: I

Question

In a very busy off-campus eatery one chef sends a 235-g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.65 m/s. Almost simultaneously, the other chef launches a 351-g veggieburger-on-a-bun (with everything, but hold the horseradish) along the same counter from right to left at 2.47 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

Positive is left to right, negative is right to left.

p = mv
p = .235 * 1.65 = .388

p = mv
p = .351 * -2.47 = -.867

Net momentum = .388 + -.867 = -.479

The delectable dish moves .479 N*s from right to left

 

p = mv

.479 = (.351 + .235) v

v = .817 m/s

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