Solving Vibrations and Waves: Mass, Spring Constant, Energy, Speed

  • Thread starter Thread starter Elvis
  • Start date Start date
  • Tags Tags
    Vibrations Waves
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 2K views
Elvis
Messages
14
Reaction score
0
1) A 5 kg mass, m, rests on a frictionless, horizontal, wooden table top, and is attached to one end of a spring anchored at its other end . If the spring has a spring constant=13 N/cm and the mass is pulled back (in the positive direction ) 20 cm and released, to the nearest tenth of a joule, what is its total energy?
2) if the mass is 15 kg and the spring constant is 20 N/cm, to the nearest tenth of a m/s, what is its speed at x= 5 cm?

I have solved the 1st one :

1N/cm=100N/m

E = PE + KE
E = 1/2kA^2 + 1/2mv^2 At KE v=0 because the mass stops momentarily as it changes directions. Then :

E = PE
E = 1/2kA^2
E = 1/2(13*100)*(0.2)^2
E = 26J

I have problem with the second problem. please help to solve this. I have 2 hours that I am tryin to solve it . I have only the answer that is 2.2m/s.

Please help......



:cry: Lol...
----------------------------------------------------------------------------------------
 
Physics news on Phys.org
The spring is still pulled back 20 cm in part (b). Can you find how much energy is stored in it at the moment of release when v = 0?