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Conservation of Angular Momentum and Linear Momentum A meter stick is motionless on an icy surface...

Conservation of Angular Momentum and Linear Momentum

A meter stick is motionless on an icy surface (frictionless). A hockey puck is on a collision course towards the stick. The puck hits the stick at the 30 cm mark and is traveling perpendicular to the length of the stick.

After hitting the stick, the puck is deflected 30 degrees from its original trajectory and is traveling at half of its original speed.

Mass of a meter stick = 0.30 kg

Mass of hockey puck = 0.17 kg

Initial speed of the hockey puck = 3 m/s

HW9-Figure.png

a) Choosing an origin at the starting position of the meter stick’s center of mass, what is the angular momentum of the hockey puck before the collision.

b) What is the angular momentum of the hockey puck after the collision (use the same origin)?

c) What is the velocity (direction and speed) of the stick’s center of mass after the collision?

d) What is the angular velocity of the stick (assume it will rotate about its center of mass)?

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Answer #1

The answer for above problem is explained below.

Inihal Angular momentum Cim- 0. 30m) x 3 m/ x o.35 k m Coltision aftee the Angulay momen tum mvy sine 3m/s xCIm-0.30m) x Sin(o.51 m] To.028 0.180 28Jms 0.51m o.180 28ms 3 O. 18o 28 J 0.3ok x Oo 3297 Km O.18028 -o.180 28 j tgm , 3297 m 0.30k 0.6009 me180 Q8, 668 e z 208. 66 8 l. 2525 m Speed And ao8. 668 direchon е- Consevvshun of Ansular law of ву иg momentun, 1m 41-12 2

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