In a very busy off-campus eatery one chef sends a 237-g broccoli-tomato-pickle-o

Question

In a very busy off-campus eatery one chef sends a 237-g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.73 m/s. Almost simultaneously, the other chef launches a 327-g veggieburger-on-a-bun (with everything, but hold the horseradish) along the same counter from right to left at 2.15 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 detectible dish move, if it moves at all? To the right. To the left. Doesn't move. At what speed does it move? Enter a positive number. Number m/s

Explanation / Answer

Masses m = 237 g            M = 327 g Initial velocities u = 1.73 m / s                        U = -2.15 m/ s Since both the velocites are opposite to each other. From law of conservation of momentum , mu + MU = ( m+ M ) v Since after collision both moves into single. From above speed after collision v = [ mu + MU ] / ( m + M)                                                      = -293.04 / ( 237 + 327)                                                      = -0.5195 m / s neagive sign indicates it mones from right to left direction i.e., left direction

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