5. The graph included represents the potential energy for a particle oscillating when attached to a spring. (a) Find the spring's equilibrium length lo and constant k. (b) The turning points are 10. cm and 30. cm. Find the max- imum amplitude and maximum kinetic energy of the par- E (J) 0.04 ticle. 0.03 (c) Sketch a graph of the particle's kinetic energy as a func- tion of position x. What is the shape of this graph? 0.02

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Chapter1: Units, Trigonometry. And Vectors
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5. The graph included represents the potential energy for a particle oscillating when attached to a spring.
(a) Find the spring's equilibrium length lo and constant k.
(b) The turning points are 10. cm and 30. cm. Find the max-
E (J)
imum amplitude and maximum kinetic energy of the
par-
0.04
ticle.
0.03
(c) Sketch a graph of the particle's kinetic energy as a func-
tion of position x. What is the shape of this graph?
0.02
(d) The particle has a mass of 2.0 kg. Find the particle's
0.01
maximum speed. Graph the speed of the particle as a
function of x.
x (cm)
40
10
20
(e) If the total energy of the particle is tripled, what will be
its maximum speed and maximum amplitude?
30
Transcribed Image Text:5. The graph included represents the potential energy for a particle oscillating when attached to a spring. (a) Find the spring's equilibrium length lo and constant k. (b) The turning points are 10. cm and 30. cm. Find the max- E (J) imum amplitude and maximum kinetic energy of the par- 0.04 ticle. 0.03 (c) Sketch a graph of the particle's kinetic energy as a func- tion of position x. What is the shape of this graph? 0.02 (d) The particle has a mass of 2.0 kg. Find the particle's 0.01 maximum speed. Graph the speed of the particle as a function of x. x (cm) 40 10 20 (e) If the total energy of the particle is tripled, what will be its maximum speed and maximum amplitude? 30
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