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?

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boffeemadrid boffeemadrid · Answer 1 · 2019-12-11T10:49:45+01:00

Answer:

0.47922 kgm/s and will move right to left

Explanation:

[tex]m_1[/tex] = Mass of broccoli-tomato-pickle-onion-mushroom pizza = 235 g

[tex]m_2[/tex] = Mass of veggieburger-on-a-bun = 351 g

[tex]v_1[/tex] = Velocity of broccoli-tomato-pickle-onion-mushroom pizza = 1.65 m/s

[tex]v_2[/tex] = Velocty of veggieburger-on-a-bun = -2.47 m/s

Left to right is considered positive direction and the opposite is negative direction

Net momentum is

[tex]p=m_1v_1+m_2v_2\\\Rightarrow p=0.235\times 1.65+0.351\times -2.47\\\Rightarrow p=-0.47922\ kgm/s[/tex]

The combined dish has a momentum of 0.47922 kgm/s and will move right to left