(a) What objects constitute the system, andthrough what forces do they interact?

Question

(a) What objects constitute the system, andthrough what forces do they interact?
1

(b) What are the two points of interest?
2

(c) Find the energy stored in the spring when the mass is stretched5.60 cm from equilibrium and againwhen the mass passes through equilibrium after being released fromrest.
x = 5.60 3 J x = 0 4 J
(d) Write the conservation of energy equation for this situationand solve it for the speed of the mass as it passes equilibrium.(Do this on paper. Your instructor may ask you to turn in thiswork.)

(e) Substitute to obtain a numerical value.
5 m/s

(f) What is the speed at the halfway point?
6 m/s

(g) Why isn't it half the speed at equilibrium? (Do this on paper.Your instructor may ask you to turn in this work.) x = 5.60 3 J x = 0 4 J

Explanation / Answer

a)The spring and the block... The blockexperiences gravitationalforce (i.e weight), Normal reaction and Restoring force of thespring. b) Full compression and zero compression. c) At displacement 0.056m, E=1/2kx2                                       =1.24J at mean position: E=0J d)all spring potential energy is converted into kinetic energy:   1/2kx2=1/2mv2    v=xk/m e)    =0.056*790/1.4      =1.33m/s f) 1/2k*0.0562=1/2k*0.0282 +1/2mv2   v=0.815m/s g) there is acceleration so velocity cannot behalved

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.