In July 2005, NASA's "Deep Impact" mission crashed a 372-Rg pro the surface of the comet Temple 1, hitting the surface at 37000 km/h relative to the comet. The original speed of the comet at that time was about 40000 km/h, and ite mass was estimated to be in the range (0.1 – 2.5) x10“ kg. Use the smallest value of the estimated mass. A. What change in the comet's velocity did this collision produce? Would this change be noticeable? B. Suppose this comet were to hit earth and fuse with it, by how much would it change our planet's velocity? Would this change be noticeable? (mearth = 5.97 x1024 kg)

You are given the equation used to solve a problem: (6.67 × 10-¹¹N m²/kg²)(5.98 × 10²4 kg)(1000 kg) p2 Part A Choose the correct realistic problem for which this is the correct equation. Submit A 1000 kg comet falls on the earth with a speed of 1997 m/s when it reaches the surface. What was the radius of its orbit? A 1000 kg satellite orbits Saturn with a speed of 1997 m/s. What is the radius of the orbit? A 1000 kg satellite orbits the earth with a speed of 1997 m/s. What is the radius of the orbit? A 1000 kg comet falls on Saturn with a speed of 1997 m/s when it reaches the surface. What was the radius of its orbit? Part B r = Previous Answers Correct Finish the solution of the problem. Express your answer with the appropriate units. (1000 kg) (1997 m/s)² p C'H μA Value Units ?

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?

Astronomers have observed a small, massive object at the center of our Milky Way Galaxy. A ring of material orbits this massive object; the ring has a diameter of about 17 light-years and an orbital speed of about 100 km/s. A) Determine the mass  M  of the massive object at the center of the Milky Way Galaxy. Give your answer in kilograms.Express your answer in kilograms. B) Give your answer in solar masses (one solar mass is the mass of the sun). Express your answer in units of solar masses. C) Many astronomers believe that the massive object at the center of the Milky Way Galaxy is a black hole. If so, what must the Schwarzschild radius  RS of this black hole be? Express your answer in meters.

In the book 2010: Odyssey Two, Chinese astronauts land on Europa, one of Jupiters Moons. Suppose one of these astronauts on Europa drops a tool 2 m above the ground. How long will it take for it to hit the ground?  MEuropa = 4.7998×1022 kg, REuropa = 1.561×106

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?

A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)

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)

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.]

Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).