On a horizontal frictionless surface, a small block with a mass 0.200kg has a collision with a block of mass 0.400kg. Immediately after the collision, the 0.200kg block is moving at 12.0m/s in the direction 30° north of east and the 0.400kg is moving at 12.6m/s in the direction 53.1° south of east. a) what is the total kinetic energy of the two blocks after the collision (in joules) b) what is the the x-component of the total momentum of the two blocks after the collision? c) what is the the y-component of the total momentum of the two blocks after the collision?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 15P
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On a horizontal frictionless surface, a small block with a mass 0.200kg has a collision with a block of mass 0.400kg. Immediately after the collision, the 0.200kg block is moving at 12.0m/s in the direction 30° north of east and the 0.400kg is moving at 12.6m/s in the direction 53.1° south of east. a) what is the total kinetic energy of the two blocks after the collision (in joules) b) what is the the x-component of the total momentum of the two blocks after the collision? c) what is the the y-component of the total momentum of the two blocks after the collision?
Expert Solution
Step 1: Given data

Mass of object 1 is m subscript 1 equals 0.200 space kg 

Mass of object 2 is m subscript 2 equals 0.400 space kg

After collision, velocity of object 1 is v subscript 1 equals 12 space straight m divided by straight s in the direction 30 to the power of degree north of east.

After collision, velocity of object 2 is v subscript 2 equals 12.6 space straight m divided by straight s in the direction 53.1 to the power of degree south of east.

Note:

1 space straight N equals 1 space kg times straight m divided by straight s squared

1 space straight J equals 1 space straight N times straight m

Find:

(a) Total kinetic energy of the objects after collision.

(b) The x-component of the total momentum of objects after collision.

(c) The y-component of the total momentum of objects after collision.

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