For collision #4 in Step 3, calculate the energies before and after the collisio

Question

For collision #4 in Step 3, calculate the energies before and after the collision. Was energy lost or gained? If it was lost, where did it go? If it was gained, where did it come from?

Step 2 -Equalizing Mass of Carts Adjust the mass of the carts so that they are equal by adding extra masses to the cart which is underweight. The carts should now be of equal mass. The mass of each cart should include the mass with the bumpers and flag on them Average Mass of each cart (with bumpers)- _210.1. Z10 Average Mass of each cart (with bumpers) = 21·4 Length of the flag on the cart = LO Step 3-- Collisions Perform collisions with the masses (m1 and ma) as labeled above. When the masses are unequal, there are two collisions to perform. Use two of the extra masses, and then four for each of these. Ifa cart bounces backwards, its velocity is negative. final (kg) (kg) (s)(s) (s) (m/s) (m/s)(m/s) (kgm/s) (kgm/s) 6.40 0.088 0.00 25 0.42 40.210M0.27 0.5 asiln10.4lory 0.1el o.871.2. D.6p.// m m2 (4) mi

Explanation / Answer

Since masses are only in motion sothey possess Kinetic Energy before and after collision given by:

Initial

0.5m1v1i2 + 0.5m2v2i2 = 0.5(0.4104*0.672 + 0.61014*02) = 0.092 J

Final

0.5m1v1f2 + 0.5m2v2f2 = 0.5(0.4104*0.112 + 0.61014*0.482) = 0.73 J

Energy is being lost in this case

It is getting lost to friction from ground and air, also collision is not perfectly elastic, some amount of energy is also consumed for changing the shape of the masses during collision.

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