Adinner plate falls vertically to the floor and breaks up into three pieces, which slide horizontally along the floor. immediately after the impact, a 200-g piece moves along the +x-axis with a speed of 2.00 m/s, a 235-g piece moves along the +y-axis with a speed of 1.50 m/s. the third piece has a mass of 100 g. what is the speed of the third piece?

The speed of third piece that weighs  is .

Explanation:

Three pieces of dinner plate after falling vertically to floor and slides horizontally along the floor and goes in three different directions.

The first piece of  moves along the x-axis by the speed of  and the other piece of  moves on the y-axis by the speed of .

Our aim is to find the speed of third piece that weighs .

Let the horizontal plane of floor be x-y plane. Before the collision there was no momentum.

Consider the components of velocity of third piece as  and , and the resultant of velocity  makes an angle of   under the negative x-axis as shown in Figure 1.

Due to conservation of momentum equation is written as,

The another equation from conservation of momentum is written as,

The velocity  by which the third piece moves is calculated as,

Therefore, the speed of third piece is .

Thus, the speed of third piece that weighs  is .

Learn More:

1. Speed and momentum

2. Linear momentum

3. Velocity and Momentum

Answer Details:

Grade: High School

Subject: Physics

Chapter: Momentum

Keywords:

Plate, momentum, falls, collision, slide, impact, 200 g, 2 m/s, 235 g, 1.50 m/s, 100 g, direction, motion, horizontal, force, x-axis, y-axis, vertically, floor, breaks, three, pieces.

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