Question

Please show work and use the numbers provided so that I can compare it to my own work and figure out how to do it on my own. Thank you.

Problem 15.43 What is her mass if the spring constant is 310 N/m? Express your answer to two significant figures and include the appropriate units Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring to her belt and the other end to a hook on the wall of the space capsule. A fellow astronaut then pulls her away from the wall and releases her. The spring's length as a function of time is shown in the figure (Figure 1) m= 71 kg Submit My Answers Give Up Correct Part B Figure 1 What is her speed when the spring's length is 1.1 m? L (m) Express your answer to two significant figures and include the appropriate units 1.0 0.8 0.6 0.4 0.2 0.0 rm Submit My Answers Give Up t (s) Incorrect; Try Again; 29 attempts remaining

Answer 1

time period T = 3 s

angular speed w(omega) = 2*pi/T = (2*pi)/3 = 2.1 s^-1

speed of mass in SHM v = w*sqrt(A^2-x^2)

v = 2.1*sqrt(1.4^2-1.1^2)

v = 1.82 m/s