The direction of third piece is form the positive axis.
Explanation:
Three pieces of plate are formed after falling vertically to floor and slides along the floor and goes in three directions.
The first piece of moves on the x-axis at the speed of and the other piece of moves on the y-axis at the speed of .
Our aim is to find the direction of third piece that weighs .
Consider the horizontal plane of floor be x-y plane. Before the collision of plate to the floor there was zero momentum.
Suppose the components of velocity of third piece be and , and the resultant velocity makes an angle of under the negative x-axis as shown in Figure 1.
Due to conservation of momentum the equation can be written as,
The other equation from conservation of momentum can be written as,
The velocity by which the third piece moves is calculated as,
The direction that with the vertical direction is calculated as,
The value of is calculated as,
Therefore, the value of angle is .
Thus, the direction of third piece is form the positive axis.
Learn More:
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Momentum
Keywords:
Plate, vertically, floor, breaks, three, pieces, slide, impact, 320 g, 2 m/s, 355 g, 1.50 m/s, 100 g, direction, motion, horizontal, force, x-axis, y-axis, momentum, falls, collision.