The internal density of the comet 67P was measured by the Rosetta space-craft to be approximately p = 400 kg m-³. How close an approach to the Earth could be made by this comet before it is tidally disrupted? Express your answer in units of the Earth's radius. Ignoring the effects of heating and sublimation, state how close this comet could approach the Sun without being tidally disrupted. Express your answer in units of the Solar radius.
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- A typical comet contains 10¹3 kg of water ice. How many comets would be needed to account for the 2 x 10²¹ kg of water presently found on our planet?Jupiter's moon, Io, loses about 1190.0 kg/s of sulfur dioxide to Jupiter's magnetosphere. At this rate, what percent of its mass would Io lose in 3.0 × 109 years? Io has a mass of about 1 × 1023 kg and there are 3.15 × 107 seconds in a a year.How much time t does it take a radio signal to travel the 2.72 × 10¹2 m average distance from the Earth to Uranus? t = S
- 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].In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 6.00×1015 kg and a radius of 8.10 km For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Phobos escape velocity. Y Part A What is the speed of a satellite orbiting 4.50 km above the surface? Express your answer with the appropriate units. D Value HA Part B Submit Request Answer What is the escape speed from the asteroid? Express your answer with the appropriate units. Submit μA Value Units Request Answer 200 Units5. Calculate the acceleration due to gravity on the surface of Jupiter? (mj = 6.67×10¹¹1 N·m²/kg²) = 1.90×1027 kg, TJ = 69,911 km, G
- Let’s imagine that you have an idea for an experiment to fly on NASA’s “Vomit Comet.” (What’s special about this plane? It flies in parabolic paths (aka freefall) which result in near weightlessness. This means that you can ignore the effects of gravity when plan your experiment.) You want to mimic the orbital motion of the planets but by using electrostatic force rather than gravitational. And, instead of a planet, you will be orbiting a droplet of water that is 0.5mm in radius and has an deficit of 1.5 x 106 electrons. The droplet is to orbit around a small (1cm radius) sphere. If you want the droplet to move with an orbital radius of 14cm and period of one minute, what should the charge be on the central sphere? BTW The density of water is 997 kg/m3.You have negotiated with the Omicronians for a base on the planet Omicron Persei 7. The architects working with you to plan the base need to know the acceleration of a freely falling object at the surface of the planet in order to adequately design the structures. The Omicronians have told you that the value is gOP7=7.29 flurg/grom^2, but your architects use the units meters/second^2, and from your previous experience you know that both the Omicronians and your architects are terrible at unit conversion. Thus, it's up to you to do the unit conversion. Fortunately, you know the unit equality relationships: 5.24flurg=1meter and 1grom=0.493second. What is the value of gOP7 in the units your architects will use, in meter per second squared?a. Calculate the surface temperature of Pluto and Charon at perihelion, assuming both bodies are rapid rotators and in equilibrium with the solar radiation field. b. Calculate the escape velocity from Pluto and Charon, and compare these numbers with the velocity of N2, CH4, and H2O molecules. c. Given your answers in (a) and (b), explain qualitatively the differences in surface ice coverage for Pluto and Charon.
- Jupiter's moon, Io, loses about 1140.0 kg/s of sulfur dioxide to Jupiter's magnetosphere. At this rate, what percent of its mass would Io lose in 6.8 × 109 years? Io has a mass of about 1 × 1023 kg and there are 3.15 × 107 seconds in a a year.The highest mountain on Mars is Olympus Mons, rising 22 000 meters above the Martian surface. If we were to throw an object horizontally off the mountain top, how long would it take to reach the surface? (Ignore atmospheric drag forces and use gMars = 3.72 m/s2.)Part A What is the escape speed from an asteroid of diameter 330 km with a density of 2110 kg/m³? Express your answer in meters per second. ΑΣφ ? m/s