- #1
Zaft3
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I am asked to rate a series of elastic collisions in order greatest time of max compression to least time of max compression for several vehicles with varying masses and velocities, which strike a spring with a spring constant k.
I can determine the Momentum of each case, as I am given the masses and velocities. Additionally, I can determine each of their kinetic energy.
I am working on the presumption that the kinetic energy of the car will be converted into potential energy in the spring:
1/2mv^2 =1/2kx^2
Also, I know the impulse of the car's is going to be
Ft= Δvm, so t=Δvm/F
I also know that the Force on spring will be F=kx, but I am not sure how the magnitude of the momentum of the car's is going to relate to the time of maximum spring compression.
Any hints?
I can determine the Momentum of each case, as I am given the masses and velocities. Additionally, I can determine each of their kinetic energy.
I am working on the presumption that the kinetic energy of the car will be converted into potential energy in the spring:
1/2mv^2 =1/2kx^2
Also, I know the impulse of the car's is going to be
Ft= Δvm, so t=Δvm/F
I also know that the Force on spring will be F=kx, but I am not sure how the magnitude of the momentum of the car's is going to relate to the time of maximum spring compression.
Any hints?