In a very busy off-campus eatery one chef sends a 241-g broccoli-tomato-pickle-o

Question

In a very busy off-campus eatery one chef sends a 241-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 331-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 and at what speed?

Explanation / Answer

Using conservation of momentum:

m1 = 0.241 kg

u1 = 1.67 m/sec

m2 = 0.331 kg

u2 = -2.33 m/sec

m1u1 + m2u2 = (m1+m2)*V

V = merged speed

V = (0.241*1.37 - 2.33*0.331)/(0.241+0.331) = -0.771 m/sec

Since V is negative means dish moves to left, with speed = 0.771 m/sec

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