Circular motion, grade 12 physics

  1. Problem:
    A 78.5kg man is about tocompletea bungee jump. If the bungee cord has a spring constant of 150 N/m, determine the period of oscillation that we will experience.

    m= 78.5 Kg
    k= 150 N/m
    T=?

    Relevant equations:
    T= 2(pi)√(m/k)

    The attempt at a solution
    T= 2(pi)√(78.5kg/150 N/m)
    I get, T=4.54s

    ...............................................................................................................................
    2nd Problem:
    A 5.00 kg mass oscillates on a spring with a frequency of 0.667 Hz. Calculate the spring constant.

    m= 5.00 Kg
    f= 0.667 Hz
    k= ?

    Relevant equations:
    T= 2(pi)√(m/k)
    T=(1/f)


    The attempt at a solution
    T= (1/0.667Hz)
    T= 1.499s
    T= 2(pi)√(m/k)
    I rearange and get:
    k=87.84 N/m

    If anyone can confirm or let me know if I did something wrong it would be great!
    Thanks in advance!
     
  2. jcsd
  3. cepheid

    cepheid 5,194
    Staff Emeritus
    Science Advisor
    Gold Member

    It all looks okay to me!
     
  4. Thank you very much for looking over it!
     
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