An astronaut, whose mission is to go where no one has gone before, lands on a spherical planet in a distant galaxy. As she stands on the surface of the planet, she releases a small rock from rest and Part A finds that it takes the rock 0.600 s to fall 1.90 m. If the radius of the planet is 8.60 × 10´ m, what is the mass of the planet? Express your answer with the appropriate units.
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An astronaut, whose mission is to go where no one
has gone before, lands on a spherical planet in a
distant galaxy. As she stands on the surface of the
planet, she releases a small rock from rest and
Part A
finds that it takes the rock 0.600 s to fall 1.90 m.
If the radius of the planet is 8.60 × 10' m, what is the mass of the planet?
Express your answer with the appropriate units.
HÅ
mp =
Value
Units
Submit
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- Fg KE = mv², Ug Gm₂mz r2 == 2 ac -2²₁v=2²7₁9= = 27, g = GM, Vesc = = Gm₁m₂ T 2GM VR E = KE + Ug, G = 6.674 x 10-¹1 N. m²/kg² }Tidal forces are gravitational forces exerted on different parts of a object by a second object. Their effects are particularly visible on Earth's surface in the form of tides. To understand the origin of tidal forces, consider Earth-Moon system to consist of two spherical bodies, each with a spherical mass distribution. Let RE be the radius of Earth, m be the mass of the Moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreses with distance, the accelaeration a(near) experienced by a unit mass located at the point on the earth's surface closest to moon is slightly different from the acceleration a(far) experienced by a unit mass located at the point on the earth`s surface farthest from the moon. Give a general expresion for the quantity a(near)- a(far).I whirl John (mass 0.27 kg) over my head in a circle. There is a spring scale between my hand and the string, so I can measure the force of tension in the string, which I find to be 2.12 N. I measure the length of the string (the radius of the circle) and find it to be 1.34 m. Assuming that John's speed is not changing, how fast is he going?
- A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.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 ?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 = 1.561×106The class I'm taking is physics for scientists and engineers! I am completely stuck. Need help. I have attached the problem. Please view both attachments before answering. Please write step-by-step solution so I can fully understand.Two planets of equal mass orbit a much more massive star. Planet m 1 moves in a circular orbit of radius r 1 = 10^11 m with a period of 2 years (= 6.3 x 10^7 s). Planet m 2 moves in an elliptical orbit with its closes t distance r 1 and its farthest distance r 2 = 1.8 x 10^11 m. a. Find the period of m 2’s orbit. b. The elliptical orbit has greater energy. Which planet has the greater potential energy at point P? Justify. c. Which planet has the greater speed at point P? Justify. d. How does the speed of m 2 at point P compare with the speed at point A? Justify.
- A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.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)You have been assigned to a team charged with developing a plan to explore a new planetary body called Planet Z. The acceleration due to gravity of Planet Z is 3.2 meters per second squared [m/s2]. A container of unknown volume is filled with cooking oil, with a specific gravity = 0.93, on Planet Z where the liquid in the container weighs 2 pound-force [lbf]. What is the volume of cooking oil in the container in units of liters [L]?