12. Jupiter's moon Io takes 1.77 days to orbit Jupiter at a radius of 422,000 km. Assuming a circular orbit, find a) the speed of Io (km/s) b) the mass of Jupiter
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The speed of an object in circular motion can be calculated using the formula: speed = circumference / time The circumference of a circle can be calculated using the formula: circumference = 2 * π * radius Plugging in the values for the radius of Io's orbit Show more…
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Assuming that the orbit of the planet Jupiter around the Sun is circular and knowing that it has a radius that corresponds to 7.81 x 10^8 km and that this gas giant planet travels it in 4,332.6 Earth days, calculate: a) The magnitude of Jupiter's orbital speed in units of m/s. b) The centripetal acceleration of Jupiter towards the Sun in units of m/s^2.
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Prabhu R.
(a) One of the moons of Jupiter, named Io, has an orbital radius of $4.22 \times 10^{8} \mathrm{m}$ and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter. (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of $1.07 \times 10^{9} \mathrm{m}$ and a period of 7.16 days. Calculate the mass of Jupiter from this data. (c) Are your results to parts (a) and (b) consistent? Explain.
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