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?

Answer 1

Answer:

0.47922 kgm/s and will move right to left

Explanation:

$m_1$ = Mass of broccoli-tomato-pickle-onion-mushroom pizza = 235 g

$m_2$ = Mass of veggieburger-on-a-bun = 351 g

$v_1$ = Velocity of broccoli-tomato-pickle-onion-mushroom pizza = 1.65 m/s

$v_2$ = 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

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

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