Collision of pucks on frictionless table

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SUMMARY

The discussion centers on the collision of two pucks on a frictionless air table, specifically analyzing the velocities and kinetic energy changes during the collision. Puck A, with a mass of 0.366 kg, initially moves towards puck B, which has a mass of 0.254 kg and is at rest. After the collision, puck A moves at 0.119 m/s to the left, while puck B moves at 0.655 m/s to the right. The correct initial speed of puck A before the collision is determined to be 0.336 m/s using the conservation of momentum, and the change in kinetic energy during the collision is calculated to be 0.057 J after correcting a calculation error.

PREREQUISITES
  • Understanding of conservation of momentum in elastic collisions
  • Knowledge of kinetic energy calculations
  • Familiarity with basic physics concepts related to mass and velocity
  • Ability to perform calculations involving squared terms
NEXT STEPS
  • Study the principles of elastic and inelastic collisions in physics
  • Learn how to derive kinetic energy equations for different scenarios
  • Explore the effects of mass and velocity on momentum conservation
  • Practice solving problems involving collisions on frictionless surfaces
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of collisions in a frictionless environment.

disruptors
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On a frictionless horizontal air table, puck A (with mass 0.366 kg) is moving toward puck B (with mass 0.254 kg ), which is initially at rest. After the collision, puck A has velocity 0.119 m/s to the left, and puck B has velocity 0.655 m/s to the right.

a) What was the speed of puck A (Vai) before the collision?
I got 0.336 m/s which is correct by using m1*v1 + m2*v2=m1*v -->elastic collision

B)Calculate , the change in the total kinetic energy of the system that occurs during the collision.

for the energy part i am using the equation

1/2 m1 v1(squared)i = 1/2 m1 v(squared)1f + 1/2 m2 v(squared)2f

question is looking for change in kinetic energy DURING collision

i calculated Final KE - Initial KE but is that not considered the total change in KE DURING the collision? as i got 0.057 J.
 
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disruptors said:
a) What was the speed of puck A (Vai) before the collision?
I got 0.336 m/s which is correct by using m1*v1 + m2*v2=m1*v -->elastic collision
OK, but that's conservation of momentum. (No assumption of elastic collision needed.)

B)Calculate , the change in the total kinetic energy of the system that occurs during the collision.

for the energy part i am using the equation

1/2 m1 v1(squared)i = 1/2 m1 v(squared)1f + 1/2 m2 v(squared)2f
That equation assumes that energy is conserved. Don't assume that. Instead, calculate the final KE (right side of your equation) and the initial KE (left side). Then find the difference (final - initial); that's the change in KE.
 
thanks, i did that again and got it correct after i saw i made a calculating error
 

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