Jump to. Pnnt Calculator -d Periodic Table Question 10 of 19 Sapling Learning In

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Jump to. Pnnt Calculator -d Periodic Table Question 10 of 19 Sapling Learning In a very busy off-campus eatery one chef sends a 231-g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.81 m/s. Almost simultaneously, the other chef launches a 311 ger-on-a-bun (with everything, but hold the horseradish) along the same counter from right s 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? O To the right. O Doesn't move. O To the left At what speed does it move? Enter a positive number. Number m/s Exit O Previous e Check Answer e Next & Hint

Explanation / Answer

Establish a coordinate system! In the following solution guide, right is positive; left is negative.

m = 231 g

v1 = +1.81 m/s

M = 311 g

v2 = -2.37 m/s

V = final velocity after collision

Set up equation using conservation of momentum:

mv1 + Mv2 = (m + M)V

V = (mv1 + Mv2) / (m + M)

= (231*1.81 + 311*(-2.37))/(231 +311)

= -0.59 m/s

V < 0, therefore, the dish moves to the left.

Its speed is, rounding to three sig figs, 0.588 m/s.

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