Is this an elastic or inelastic collision?

AI Thread Summary
The discussion revolves around a collision scenario involving a 5 kg object and a 10 kg object, where the latter comes to a stop after the collision. The user applies conservation of momentum to determine the final speed of the 5 kg object, calculating it to be -2 m/s. However, when evaluating the kinetic energy before and after the collision, the user concludes that the collision is inelastic, as the initial kinetic energy does not equal the final kinetic energy. The final kinetic energy calculations reveal an initial total of 85 J, confirming the inelastic nature of the collision. The analysis highlights the importance of both momentum and kinetic energy conservation in classifying collisions.
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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