Calculate the escape velocity to an orbit of 457 km height from a planet with the radius of 2000 km and the density of 3400 kg⋅m-³. Give your answer in SI units.

) One of the moors of Jupiter, named an orbital radius of 10 4.22 * 10 ^ 8 a period of 1.77 days. Assuming the orbitis circular, calculate the inass of Jupiter. (b) largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 * 10 ^ 9 m a period of 7.16 daysCalculate the mass of Jupiter from this data ) your results to parts (b) consistent ? Yes No Explain

16-9. Show that the escape velocity from a planet's surface is given by v = (2gR)'/2 where g is the gravitational constant and R the radius of the planet. Given that the gravita- tional constant of the earth is 980 cm/sec² and the radius is 6.4 × 10 cm, calculate the fraction of hydrogen, helium, nitrogen, and oxygen molecules having velocities exceeding the escape velocity.

(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)

Rick is an Aerospace Engineer at NASA’s Jet Propulsions Laboratory (JPL), and is designing the next mission to Pluto called “New Horizons 2: The Sequel". This time Rick plans to study Pluto's largest moon Charon. Charon has a mass of 1.586 ×1021 kg and a mean radius of 606 km, and might have a nitrogenous atmosphere (N2) just like Pluto. If, for a massive object to have an atmosphere its escape speed must be 12 times greater than the root-mean- square (rms) velocity of the gas (otherwise the gas will slowly leak away over time), what is the maximum temperature that Charon can have and still have a nitrogenous atmosphere? [Charon has a temperature of -281 °C = 55 K, day or night.]

The escape velocity from the surface of planet A is 5700 m/s. Planet B has the same density but the radius is 1/3 that of planet What is the escape velocity from the surface of planet B in m/s?

Let the radius of the Earth be R, and we approximate the Earth as a sphere. In order for an object to glide along the equator of the Earth at sea level, what is the speed at which it needs to be moving? gR gR VgR O (gR)?

An extrasolar planet has mass 1.27E+25 kg and radius 67400000_m. What is the escape speed for this planet? 11440_m/s 12230_m/s 5014_m/s А. D. 16190_m/s В. Е. 1973_m/s С. F. 9206 m/s

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The density of Planet Y in the previous problem is Show the entire calculation. Calculation: The universal gravitational -11 3 -1 -2 constant is 6.67430*10 m kg s . Planet Y has a radius of 5360km or 5.360*10 m and a mass of 4.56*10²3 kg. On this planet, a rock falls vertically down from a cliff overhang to the ground. The height of the cliff is 86m. The time it M takes the rock to fall from the overhang to the ground is Show the entire calculation. Calculation: g = G*- The density O R of Planet Y in the previous problem is Show the entire calculation. Calculation: