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

Answer:

The correct answer is:

(A) to the left

(B) at speed -0.8725 m/s

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,

⇒  $v=\frac{m_1v_1+m_2v_2}{m_1+m_2}$

On substituting the values, we get

⇒     $=\frac{201\times 1.79+335\times (-2.47)}{201+335}$

⇒     $=\frac{359.79-827.45}{536}$

⇒     $=\frac{-467.66}{536}$

⇒     $=-0.8725$ (to the left)