# Linear Momentum In Collisions

Goal: To investigate the Law of Conservation of Linear Momentum in collisions.

Activity 1: Elastic Collisions in one dimension. Ball 2 is initially at rest.

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• On the menu to the right, slide the indicator all the way to the right for a perfectly elastic collision.
• For the given masses and initial speeds of the two balls, determine the velocity and momentum after the collision.Top of Form

 Ball Mass (kg) Before the Collision After the Collision V (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 1.20 2 0.50 0

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 1.50 0.90 2 0.50 0

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 1.40 2 1.50 0

Question: Is the momentum conserved?  Bottom of Form

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Question: Is the kinetic energy conserved?

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Activity 2: Elastic Collisions in one dimension. Balls 1 and 2 initially moving in the same direction.Top of Form

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 0.80 2 0.50 0.30

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 1.50 1.20 2 0.50 0.50

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 1.20 2 1.50 0.30

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Question: Is the momentum conserved?

Question: Is the kinetic energy conserved?

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Activity 3: Elastic Collisions in one dimension. Balls 1 and 2 initially moving in the opposite direction.   Note that when Ball 2 moves opposite to Ball 1, its velocity and momentum are negative.

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 1.20 2 0.50 – 0.30

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 1.50 1.20 2 0.50 -0.70

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 1.20 2 1.50 -1.20
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Question: Is the momentum conserved?

Question: Is the kinetic energy conserved?

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Activity 4: Inelastic Collisions. On the menu to the left, slide the indicator all the way to the left to ensure perfectly inelastic collision.

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 1.20 2 0.50 0

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 1.50 1.20 2 0.50 -0.20

 Ball Mass (kg) Before the Collision After the Collision v (m/s) Momentum (kg.m/s) v (m/s) Momentum (kg.m/s) 1 0.50 1.20 2 1.50 -1.80

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Question: Is the momentum conserved?

Question: Is the kinetic energy conserved?