Two carts of mass ma and mb are free to roll on a straight horizontal track. initially, the velocities of the carts are vai ˆı and vbi ˆı, with vai > vbi. because of this last inequality, the two carts will collide. the coefficient of restitution for the collision is e1. given ma, mb, vai, vbi, and e, find the horizontal components of velocity, vaf , vbf after impact.2. for each set of parameter values listed below, calculate numerical values for final velocity components vaf and vbf , as well as kinetic energy before impact and kinetic energy after impact. what percentage of the initial kinetic energy is lost during the impact? (a) ma = 1 mg, mb = 5 mg, vai = 10 m/s, vbi = 0, e = 0.5.(b) ma = 5 mg, mb = 1 mg, vai = 10 m/s, vbi = 0, e = 0.5.(c) ma = 5 mg, mb = 1 mg, vai = 10 m/s, vbi = 0, e = 1.0.(d) ma = 3 mg, mb = 3 mg, vai = 10 m/s, vbi = 0, e = 1.0.(e) ma = 4 mg, mb = 3 mg, vai = 10 m/s, vbi = 5 m/s, e = 1.0.