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Two air carts of mass m1+0.84kg and m2+0.42kg are placed on a frictionless track

ID: 1980365 • Letter: T

Question

Two air carts of mass m1+0.84kg and m2+0.42kg are placed on a frictionless track. Cart 1 is at rest initially, and has a spring bumper with a force constant of 690N/m. Cart 2 has a flat metal surface for a bumper, and moves toward the bumper of the stationaary cart with an initial speed v+0.68 m/s. What is the speed of the two carts at the moment when their speeds are equal? How much energy is stored inthe spring bumper when the carts have the sam speed? what is the final speed of the carts after the collission?

Explanation / Answer

again a problem of momentum conservation a) it is m2*v0/(m1+m2)=0.23(m/s). b) it is ?K=m2*v0^2/2-(m1+m2)*0.23^2/2=0.064(J). c) elastic collision so we have v1=(u1*(m1-m2)+2u2m2)/(m1+m2)=0.45(m/s) v2=-0.23(m/s