Posted by Kinetic Energy on Friday, February 4, 2011 at 2:55am.
a) It is a head-on collision.
Momentum is conserved.
The final momentum (measured positive east) is 4000*10 -1000*20 = 20,000 kg m/s
Set that equal to (M1 + M2)*Vfinal
and solve for Vfinal.
b) Compute the (1/2)M1*V1^2 + (1/2)M2*V2^2 with
(1/2)(M1+M2)Vfinal^2
The latter will be less. The firrence will be the kinetic ene4rgy lost./
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