Question

In a very busy off-campus eatery one chef sends a 201 g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.79 m/s. Almost simultaneously, the other chef launches a 335 g veggieburger (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. The two delicacies merge into a single, unbelievably savory serving.A. In what direction does the delectible dish move, if it moves at all?B. At what speed does it move? Enter a positive number.

Answer 1

The correct answer is:

(A) to the left

(B) at speed -0.8725 m/s

Step-by-step explanation:

The given values are:

Plate 1:

Mass,

m₁ = 201 g

Velocity,

v₁ = +1.79 m/s

Plate 2:

Mass,

m₁ = 335 g

Velocity,

v₁ = -2.47 m/s

According to the conservation of momentum, we get

⇒
`m_1v_1+m_2v_2=(m_1+m_2)v`

then,

⇒
`v=(m_1v_1+m_2v_2)/(m_1+m_2)`

On substituting the values, we get

⇒
`=(201* 1.79+335* (-2.47))/(201+335)`

⇒
`=(359.79-827.45)/(536)`

⇒
`=(-467.66)/(536)`

⇒
`=-0.8725` (to the left)