Pucks colliding at right angles

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SUMMARY

The discussion centers on the collision of two pucks on a frictionless air table, specifically a 1.5 kg puck moving east at 2.0 m/s and a 4.0 kg puck moving north at 1.0 m/s. The total kinetic energy of the system before the collision is calculated to be 5.0 J, derived using the kinetic energy formula (1/2)Mv² and the Pythagorean Theorem. For momentum, the total magnitude after the collision is determined to be 5.0 kg*m/s, emphasizing that momentum is conserved regardless of the collision type (elastic or inelastic). The discussion highlights the importance of correctly applying physical principles in collision problems.

PREREQUISITES
  • Understanding of kinetic energy calculations using the formula (1/2)Mv²
  • Knowledge of momentum and its conservation in collisions
  • Familiarity with the Pythagorean Theorem for vector addition
  • Concept of elastic vs. inelastic collisions
NEXT STEPS
  • Review the principles of conservation of momentum in different types of collisions
  • Study the differences between elastic and inelastic collisions in detail
  • Practice problems involving kinetic energy and momentum calculations
  • Explore the implications of collisions in two-dimensional motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for examples of kinetic energy and momentum conservation in practical scenarios.

Soniteflash
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Homework Statement


Two pucks are moving on a frictionless air table are about to collide. The 1.5 kg puck is moving directly east at 2.0 m/s. The 4.0 Kg puck is moving directly north at 1.0m/s.

What is the total kinetic energy of the two-puck system before the collision?
A. Square root of 13 J
B.5.0J
C.7.0 J
D.10J
E.11J

What is the magnitude of the total momentum of the two-puck system after the collision?
A. 1.0 kg*m/s
B. 3.5 kg*m/s
C. 5.0 kg*m/s
D. 7.0 kg*m/s
E. kg*m/s

Homework Equations


(1/2)Mv2

P = mv

The Attempt at a Solution


F[/B]or the first question I calculated the kinetic energy of the two pucks and then used the Pythagorean Theorem since the two of them are at right angles which gave me 5 Joules.

For the second question I used the Momentum formula for both pucks. I used the Pythagorean Theorem again and got 5 kg*m/s. I am unsure about this though.
 
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Is it an elastic or nonelastic collision?
Soniteflash said:
then used the Pythagorean Theorem since the two of them
I do not understand why you did this?
Soniteflash said:
Momentum formula for both pucks. I used the Pythagorean Theorem again and got 5 kg*m/s
If the collision is perfectly non.elastic then you're right.
 
Suraj M said:
If the collision is perfectly non.elastic then you're right.

Momentum would be conserved regardless of whether it was elastic or inelastic. That is why it is not necessary to specify whether or not the collision was elastic/inelastic in the problem statement.
 
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If the collision was elastic then the bodies wouldn't stick together, but then, well yeah you're right, question only asks about momentum of the system, not each body, sorry..
 
Suraj M said:
Is it an elastic or nonelastic collision?

I do not understand why you did this?

If the collision is perfectly non.elastic then you're right.

Ah, I see my error i think. Kinetic Energy is a scalar and not a vector quantity.
 
Soniteflash said:
Ah, I see my error i think. Kinetic Energy is a scalar and not a vector quantity.
Ok, but I'm a bit puzzled. If you did erroneously use Pythagoras, why didn't you get sqrt(13)?
 
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haruspex said:
Ok, but I'm a bit puzzled. If you did erroneously use Pythagoras, why didn't you get sqrt(13)?
Oh boy...I added instead of doing sqrt(22+32)...Can't even do wrong stuff correctly...
 

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