- #1
JuniorJumper
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Hi, I am new to the forums & I have a question about the following problem:
A 0.10 kg object moving initially with a velocity of 0.20 m/s makes an elastic head-on collision with a 0.15 kg object initially at rest. What percentage of the original kinetic energy is retained by the 0.10 kg object?
m1=0.10 kg
vi1=0.20 m/s
v1f=-0.0025 m/s
m2=0.15 kg
vi2=0.00 m/s
v2f=0.198 m/s
I calculated the final velocities of both objects after the collision, but can not decide how to find the kinetic energy retained by m1. I tried finding the kinetic energy lost by m1 (0.002) but then I didnt know where to go from there. I know this must be a simple problem, but I am just not seeing it? Thanks for any guidance :)
A 0.10 kg object moving initially with a velocity of 0.20 m/s makes an elastic head-on collision with a 0.15 kg object initially at rest. What percentage of the original kinetic energy is retained by the 0.10 kg object?
m1=0.10 kg
vi1=0.20 m/s
v1f=-0.0025 m/s
m2=0.15 kg
vi2=0.00 m/s
v2f=0.198 m/s
I calculated the final velocities of both objects after the collision, but can not decide how to find the kinetic energy retained by m1. I tried finding the kinetic energy lost by m1 (0.002) but then I didnt know where to go from there. I know this must be a simple problem, but I am just not seeing it? Thanks for any guidance :)
) then you can calculate their respective kinetic energies (1/2*mv^2). You can then compare each final kinetic energy to the initial system energy (K1/Kinitial and K2/Kinitial) to obtain your percentages (note that they should add to 100%). Also, since energy is conserved the sum of the final kinetic energies will equal the initial kinetic energy (of the incoming object). Hope this helps! Good luck!
