16. Determine how far the center of mass of the Earth-moon system is from the center of Earth. Compare this distance to the radius of Earth, and comment on the result. Ignore the other objects in the solar system. (m, = 5.94×10²kg; mm = 7.36×10²kg; distance between earth and moon = 3.82×10°m; R. = 6.37×10°m).

Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star has moves in a circle of radius r1 and has orbital period T. Variations in the brightness of nearby stars suggest that the unseen companion moves in a circle of radius r2 (see the figure). Find the approximate masses (a) m1 of the visible star and (b) m2 of the dark star. Express your answer in terms of r1, r2, T, and G. I asked this question before and recieved an incorrect answer, so I'm asking again.

29. Use concepts from the previous problem to find the speed of Pluto at each extreme of its orbit about the Sun – distance varying from 4.44 × 1012 m to 7.38 × 1012 m. Hint: use a system of equations based on conservation of energy and angular momentum.

A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at distance R1 = 2.9×107 m from the center of the planet. The radius of the planet is R = 0.46×107 m. The mass of the planet is M = 3.2×1025 kg. There is no air around the. Calculate the value of v in meters per second.

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.

Can you please help me with this question please? I appreciate your help!

In the Earth-moon system, we know both bodies actually orbit around thecenter of mass of the system. Approximately where is this center of masslocated?Mearth = 5.97 x 10^24 kg Mmoon = 1.62 x 10 23 kg r = 382,500 km   A) Inside the earth B) Inside the moonC) Cleveland

White dwarf stars are produced by the collapse of regular stars, such as our sun, toward the end of their normal life. Suppose a star initially has the same mass as our sun and the same radius as that of the sun. Suppose further that it collapses into a white dwarf with a radius of 5000km. If the initial period of the star is the same 27 day period of our sun, what is the resulting period of the white dwarf?

The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?

A distant exo-planet has a mass that is 100 times bigger than the Earth's, and orbits at a distance 2 times as far from its star as the Earth does from our Sun. The star has the same mass as our Sun. What is the velocity of the star about the center of mass of the exo-planet/star system? Mass of Earth = 6.0 x 1024 kg. Distance of Earth from Sun = 150 x 109 m. Mass of Sun = 2.0 x 1030 kg.