Question

8. A satellite is in circular orbit about planet Rosseforp at an altitude (above the surface) h. When h = 1.75 × 104 km, the period of the orbit is T = 12 hours. If Rosseforp has a mass of 7.0 × 1024 kg, what does the satellite weigh on the surface of Rosseforp if it weighs 850 N on the surface of Earth?

You are part of an expedition to planet Rosseforp (same planet as in the previous question). You are tasked with identifying the composition of a Rosseforpian rock that is suspected to be composed of only one mineral. On the surface of Rosseforp, you perform the following experiments.

1. You hang the rock vertically from a spring of stiffness constant 800 N/m. The period of small-amplitude vertical oscillations is 1.9 s.

2. You put distilled water in a beaker, and suspend the rock from the end of a cord so the entire rock is just submerged in the water. The tension in the cord is 236.8 N.

(a) Based on experiment 1, what is the mass of the rock?

(b) Based on (a) and your work for question 8, what is the weight of the rock?

(c) Based on (b), what buoyant force acted on the rock in experiment 2?

(d)Based on (c) and the results from question 1, determine the mass of water displaced by the rock.

(e) Based on (d) and the density of water, determine the volume of the rock. (f) (1 point) Using your previous answers, find the density of the rock.

(g) (2 points) Using (f), conduct a little research to suggest a mineral composition for the rock.

(h) Using (g), what fraction of the volume of Rosseforp (assumed spherical) would, if it were made of the same material as you suggest is the composition of the analyzed rock, account for the entire mass of Rosseforp?

(i) (2 points) Based on your answers here, what can you conclude about the relative abundance (common? rare?) of your rock’s material on Rosseforp? Explain your answer.

Answer 1

M = 구·0X124 kg. Nlouo lenst ソ3 a. 4186 N 9.8