The value of g on the surface of Neptune is about 13.3 N/kg. The planet has a radius of 2.27 × 10³ m. Use this information to determine an estimate for the mass of Neptune.

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 ?

Consider a planet that has two layers.  There is a core, which has density 9.9 x 103 kg/m3 and radius 3.9 x 106 m, and then there is a crust, which has density 4.9 x 103 kg/m3 and sits on top of the core.  The planet has a total radius of 16.9 x 106 m.  Calculate the acceleration due to gravity at the surface of this planet, in N/kg.  Use G = 6.7 x 10-11 N m2/ kg2.   (Please answer to the fourth decimal place - i.e 14.3225)

During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99 x 1030 kg, 5.98 × 1024 kg, and 7.36 x 1022 kg, respectively. The Moon's mean distance from Earth is 3.84 × 10 m, and Earth's mean distance from the Sun is 1.50 × 10'" is G = 6.67 x 10-1' N•m²/kg². m. The gravitational constant Find the magnitude F of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun. 2.6 x1045 F = N Incorrect

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.

Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (MĚ = 5.97 × 1024 kg, R₁ = 6380 km)? Say your mass is 64 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (M₁ = 1.90 × 1027 kg, R₁ = 5.88 × 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by -GMm r² where G = 6.67 x 10-11 m³/s²/kg. FgE Part 2 of 5 We can use this expression to determine the magnitude of the gravitational force you feel while on the…

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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.

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).