Two carts are situated on a 1-D, level air-track. Cart 1 is at rest. Cart 2
is projected towards cart 1. Assume the usual orientation as your book
uses. When the carts collide, they stick together. The numbers are
m1=4.0 kg
m2=2.0 kg
v1xi=0
v2xi=6.0 m/s
(a) Is the collision totally elastic, partially elastic, or totally
inelastic?
ANS: TOTALLY INELASTIC
(b) What is the value of the coefficient of restitution for this
collision?
ANS: e=0
(c) Find the final velocities of the two masses.
ANS: Both carts have the same velocity.
Vf
=
m1v1xi+m2v2xi
m1+m2
=
(4.0 kg)(0)+(2.0 kg)(6.0 m/s)
2.0 kg+4.0 kg
=
2.0 m/s
(c) How much kinetic energy is lost in the collision?
Ki
=
1
2
(2.0 kg)(6.0 m/s)2+0
=
36 J
Kf
=
1
2
(2.0 kg+4.0 kg)(2.0 m/s)2
=
12 J
DK = Kf-Ki=12 J-36 J = -24 J
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