Voyager 1 and Voyager 2 surveyed the surface of Jupiter’s moon Io and photographed active volcanoes spewing liquid sulfur to heights of 70 km above the surface of this moon. Find the speed which the liquid sulfur left the volcano. Io’s mass is 8.9 x 10^(22 )kg, and its radius is 1820 km.

An asteroid has a mass of 3.66 × 10kg and a radius of 8.2 × 10m. If a 25 kg mass is dropped from 10 m above the “ground” of the asteroid, how long will it take the mass to fall to the ground?

Designing an interplanetary mission from Earth to Jupiter. Given the position and velocityvectors for the Earth parking orbit, r = 8228 I +389 J +6888 K (km)v = -0.7 I +6.6 J -0.6 K (km/s) 1.) Assuming that the satellite will enter the Hohmann transfer elliptical orbit from perigee of its current Earth parking orbit, determine the total velocity increment, Δvtotal required for a Hohmann transfer from the Earthparking orbit to 200km altitude Jupiter parking orbit. 2.) Calculate the semi-major axis, period in earth years, and eccentricity of the Hohmann transfer ellipse.

In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.40×1016 kg and a radius of 8.20 km What is the speed of a satellite orbiting 4.90 km above the surface? What is the escape speed from the asteroid?

Suppose you are in a circular orbit above the moon Rhea with a radius of 824.7 km, and you have 154.4 m/s of delta V. Suppose you put all your delta V to go into an elliptical orbit, what is the semi-major axis of this elliptical orbit assuming the mass of Rhea is 2.3065 ×1021 kg and you can ignore the gravitational effects of Saturn?

Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 km. How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, mE=5.96×1024kg)

On February​ 15, 2013, Asteroid 2012 DA14 passed within​ 17,200 miles​ [mi] of the surface of the Earth at a relative speed of 7.8 kilometers per second​ [km/s]. This is considerably closer than the orbit of geosynchronous satellites​ (26,200 miles). This is the closest recorded approach of an object this large. The asteroid 2012 DA14 was estimated to have a diameter of 30 meters​ [m] and a specific gravity of 3. If 2012 DA14 had hit the​ Earth, what is the total amount of energy that would have been released​ (i.e., what was the kinetic energy of the​ asteroid)? Express your answer in megatons​ [Mton]. One megaton is the energy released by one million metric tons of TNT explosive. A metric ton equals​ 1,000 kilograms​ [kg], and the explosive energy of TNT is 4,184 joules per gram​ [J/g].

A very dense UFS (Unidentified Flying Sphere) has radius 1370_m and acceleration due to gravity 9.4 m/s at its surface. Find the mass of the sphere. (Note that the mass is given in exagrams or Eg, and 1 Eg = 1018 grams.) 310.6 Eg 252.4 Eg 276.5 Eg 264.5_Eg 290 Eg 300.4 Eg А. D. В. Е. С. F.

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 radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.