Question

Samantha the astronaut visits planet X. She plans a low-tech experiment to do that will demonstrate basic physics concepts to kids watching at home. First, while still on Earth she makes a pendulum that will have a period of Length Next, she has a spring with k 25 N/m. She wants to have a mass hang from the spring and oscillate up and down with the same period. How much mass should she put on the spring? mass kg Samantha finally gets to planet X. She swings the pendulum and measures a period of 0.93 s. What is the acceleration of gravity on planet X? m/s2 What is the period of the mass on the spring on planet X? t4

Answer 1

T = 2 pi squareroot L/g L = g T^2/4 pi^2 = (9.81) (1^2/4 pi^2) = 0.24849 m L = 0.248 m (2) T = 2 pi squareroot m/k m = k T^2/4 pi^2 = 25 (1^2/4 pi^2) = 0.633257 kg m = 0.633 kg (3) g� = 4 pi^2 L/T^2 = 4 pi^2 (0.248)/(0.93)^2 g� = 11.34 m/s^2 (4) T = 1.0 s (Independent of g)