Pucks colliding at right angles

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The discussion focuses on a physics problem involving two pucks colliding at right angles on a frictionless surface. The total kinetic energy of the system was calculated incorrectly using the Pythagorean theorem, leading to confusion about the correct value, which should be √13 J. For momentum, the participant calculated it as 5 kg*m/s, but there was uncertainty regarding whether the collision was elastic or inelastic. It was clarified that momentum conservation applies regardless of the collision type, and kinetic energy is a scalar quantity, not a vector. The conversation highlights the importance of correctly applying physics principles in collision problems.
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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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