An astronaut is in space at the midpoint between two stars of equal mass. Everything else is infinitely far away. What is the weight of the astronaut? Explain your answer.

Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 35.1km/s and 53.1km/s. The slower planet's orbital speed is 7.53years. What is the mass of the star, and what is the orbital period of the faster planet, in years?

Please answer the question and subquestions entirely. This is one single question. According to the official guideline, I can ask two subquestions! Thank you!   1) Two point masses are placed 10.0 cm apart and attract each other with a force of 10.0 N. Find the force of gravitational attraction between the masses when they are placed 5.00 cm apart.     3.00 N     4.50 N     20.0 N     40.0 N a) The radius of the orbit of a certain asteroid is four astronomical units. What is the period (in years) of this asteroid?     2 years     4 years     6 years     8 years b) A satellite is orbiting the earth at an altitude where the acceleration due to gravity is 8.70 m/s 2. What is its speed?     2.65 x 103 m/s     7.45 x 103 m/s     7.68 x 103 m/s     7.91 x 103 m/s

Two planets orbit a star. You can ignore the gravitational interactions between the planets. Planet 1 has orbital radius r₁, and planet 2 has r₂ = 4r₁ Planet 1 orbits with period T₁ Planet 2 orbits with period A. T₂ = -1/T₁ B. T₂=2T₁ C. T₂ = 4T₁ D. T₂=8T₁

Considering both special relativity and gravity, how much does Alice age if Julie ages 1 year?

I need help with this hw problem.

= 400 kg with their centers 8 meters apart. If you In the simulation, start with mị = 200 kg and m2 want to increase in the gravitational force between the two masses by the greatest amount, should you double the mass of m2 or should you halve the distance between the masses? In one or two sentences, explain which option would create the greater increase in the gravitational force and why.

We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the planet. It took our probe 3.5x105s to orbit the planet. Calculate the mass of planet Kerbal. Possible Formulas that can be used to answer the question: v=(2πr)/T ac=v2/r ac=(4π2r)/T2 Fc=mac Fg=mg F=(Gm1m2)/d2 g=Gm/r2 T2=(4π2/Gm)r3 v=√(Gm)/r g=9.80m/s2 G=6.67x10-11 (N∙m2)/kg2

Black Hole Gravity III. If a person is falling feet first into a black hole, her feet are at the Schwarzschild radius, and her head is outside the radius by an additional 2 m, what is the approximate ratio of the gravitational acceleration felt at her feet compared to the gravitational acceleration felt at her head? Would she be stretched and squished differently at her head and feet? Assume the gravitational acceleration is g = GM⁄r2.

Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v| 190 km/s and the orbital period of each is 12.9 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) solar masses M XCM M