Question

Review Part A 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). What is her mass if the spring constant is 300 N/m? Express your answer to two significant figures and include the appropriate units. m = 68 kg Submit Previous Answers ✓ Correct Part B What is her speed when the spring's length is 1.2 m ? Express your answer to two significant figures and include the appropriate units. U = Value Units Submit Request Answer Figure < 1 of 1 > Provide Feedback Next > L(m) 1.4 1.2 1.0 0.8 0.6 0.4 0.24 0.0 + t(s)

Answer 1

we know that the equation of motion of acillations 8=xot Acgot from the figure Xo = 1 Me maximum displacement alum - Amplitucle A = 14-170.4m Time period T= 3 see. X = 1. 2m X = Xo + Acau-) 1.2 = 1 +0.4 cyl 2 t) cos ( 28314+) = 0.5 eg (2.094+) -0.5 =) 200946 = cg/0.5) 2.094+ = 60° 2.0946 = 1.0472 rad I t= o.s see speed Valda = AW smilt = 0; 4x 2X3 14 sm/20094 805) V=0.73m/s)