You have two equal masses
m1
and
m2
and a spring with a spring constant k. The mass
m1
is connected to the spring and placed on a frictionless horizontal surface at the relaxed position of the spring. You then hang mass
m2,
connected to mass
m1
by a massless cord, over a pulley at the edge of the horizontal surface. When the entire system comes to rest in the equilibrium position, the spring is stretched an amount
d1
as shown in figure (a). You are given the following information.
The mass
m1 = m2 = 0.500 kg.
The spring constant
k = 160 N/m.
(a) Determine the amount the spring is stretched
(d1)
when
m2
is attached to
m1.
d1 =
.0306
Correct: Your answer is correct.
m
You now pull the mass
m2
down a distance
d2 = 4 cm
and release it from rest, as shown in figure (b). Determine the following as the two masses travel the distance
d2
back to their equilibrium positions. (The masses will overshoot the equilibrium position, but we are focusing our attention on them only as they travel the distance
d2.)
(b) Determine the work done on the system
(m1,
m2,
and the massless connecting cord) by the spring.
Ws =
.328
Correct: Your answer is correct.
J
(c) Determine the work done on the system by the force of gravity.
Wg =
-.196
Correct: Your answer is correct.
J
(d) Determine the work done on the system by the normal force.
WN =
0
Correct: Your answer is correct.
J
(e) Determine the net work done on the system.
Wnet =
.1276
Correct: Your answer is correct.
J
(f) Determine the work done on
m1
by the tension in the cord.
WT1 =
.2502
Incorrect: Your answer is incorrect.
How is the change in kinetic energy of
m1
related to the net work done on the system and the net work done on
m1?
What forces do work on
m1?
How is the change in kinetic energy of
m1
related to the work done on
m1
by the tension in the cord? J
(g) Determine the work done on
m2
by the tension in the cord.
WT2 =
-.2502
Incorrect: Your answer is incorrect.
How is the change in kinetic energy of
m2
related to the net work done on the system and the net work done on
m2?
What forces do work on
m2?
How is the change in kinetic energy of
m2
related to the work done on
m2
by the tension in the cord? J
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