Ask Question
19 November, 22:21

Astronauts visiting planet x have a 250-cm-long string whose mass is 5.00 g. they tie the string to a support, stretch it horizontally over a pulley 2.00 m away, and hang a 4.00 kg mass on the free end. then, the astronauts begin to excite standing waves on the horizontal portion of the string. their data are as follows:

+4
Answers (1)
  1. 19 November, 22:41
    0
    The solution for this problem is:

    v = sqrt (T/µ) where T = m*g = 4*g and µ = 0.0055/2.5 = 0.0022kg/m

    Now L = 2 m

    For a string the frequencies are n*v/2L

    so n*v/2L = 64 and (n+1) * v/2L = 80

    Now eqn 2 divided by eqn 1 yields (n + 1) / n = 80/64 = 1.25

    => 1.25 n = n + 1 or. 25n = 1 or n = 4

    now subbing back into eqn 1 we have 4*v/2L = 64 or v = 32*L = 32*1.9 = 60.8

    So 60.8 = sqrt (1.1*g/0.0022)

    so 1.1*g = 60.8^2*0.0022 = > g = 60.8^2*0.0022/1.1 = 7.39 m/s^2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Astronauts visiting planet x have a 250-cm-long string whose mass is 5.00 g. they tie the string to a support, stretch it horizontally over ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers