Is this an elastic or inelastic collision?

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SUMMARY

The discussion centers on the analysis of a collision involving a 5 kg object traveling at 4 m/s and a 10 kg object moving at 3 m/s, which comes to a stop post-collision. Using the conservation of momentum, the final speed of the 5 kg object is calculated to be -2 m/s. The kinetic energy calculations reveal that the collision is inelastic, as the initial kinetic energy of the system is 85 J, while the final kinetic energy does not equal the initial kinetic energy, confirming the inelastic nature of the collision.

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new324
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Im preparing for an Elastic Collision lab today and was wondering is someone would check my prelab questions.

A 5 kg object traveling at 4 m/s collides head on with a 10 kg object moving toward it with a speed of 3 m/s. The 10 kg object stops dead after the collision.

a) What is the final speed of the 5 kg object?

I used conservation of momentum.

p1i + p2i = p1f + p2f

20 - 30= p1f + 0; p1f= -10; v1f= -2 m/s

b) Is the collision elastic? This is where i question myself. Since the lab is for an elastic collision I would think it would be elastic. However, when I plug these values into their KE values it seems otherwise.

KE1i + KE2i = KE1f + KE2f

(.5 * 5 * 16) - (.5 * 10 *9) = (.5 * 5 * 4) + 0
Since 40 - 45 = 5; and KE1f = 10; It is inelastic. Right?
 
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10 is your final speed not Ke for inelastic collisions use only conservation of momentum
 
new324 said:
b) Is the collision elastic? This is where i question myself. Since the lab is for an elastic collision I would think it would be elastic. However, when I plug these values into their KE values it seems otherwise.

KE1i + KE2i = KE1f + KE2f

(.5 * 5 * 16) - (.5 * 10 *9) = (.5 * 5 * 4) + 0
Since 40 - 45 = 5; and KE1f = 10; It is inelastic. Right?
It is inelastic, but there is no negative sign when you calculate the kinetic energies. Therefore the initial kinetic energy of the system is 85 J.
 

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