Exact solutions for gravitational problems involving more than two bodies are notoriously difficult. One solvable problem involves a configuration of three equal-mass objects spaced in an equilateral triangle. Forces due to their mutual gravitation cause the configuration to rotate. Suppose three identical stars, each of mass M, form a triangle of side L. Find an expression for the periods of their orbital motion. *I am a complete noob at Physics. Explain all please, even the minor concepts involved.

(a) Using the information in the previous problem, what velocity do you need to escape the Milky Way galaxy from our present position? (b) Would you need to accelerate a spaceship to this speed relative to Earth?

The CERN particle accelerator is circular with a circumference of 7.0 km. (a) What is the acceleration of the protons (m=1.671027kg)that move around the accelerator at 5of the speed of light? (The speed of light is v=3.00108m/s .) (b) What is the force on the protons?

A neutron star is a cold, collapsed star with nuclear density. A particular neutron star has a mass twice that of our Sun with a radius of 12.0 km. (a) What would be the weight of a 100-kg astronaut on standing on its surface? (b) What does this tell us about landing on a neutron star?

a. Calculate the gravitational force of attraction between the Earth and the Sun if the Sunhas a mass of 1.989 x 1030 kg and is a distance of 149.6 million kilometres from theEarth. b. How would you expect the gravitational force between you and your friend tocompare to your answer from question 1 if you stood 1 metre apart? Explain.

In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term "hot Jupiter"). The orbit was just 1/9 the distance of Mercury from our Sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). a. What is the mass of the star? Express your answer in kilograms and as a multiple of our Sun's mass. b. How fast (in km/s) is this planet moving?

M. 00 F. %24 D. %23 HP TrueVision HD Pavi Se th Site w Technical A AN Careers Mail - boss Texas Work MOe Homework A College X C O 8 https://www.webassign.net/web/Student/Assignment-Responses/last?dep3D28680740 不。 CTN LIAL The International Space Station has a mass of 4.19 x 105 kg and orbits at a radius of 6.79 x 106 m from the center of Earth. Find the gravitational force exerted by Earth on the space station, the space station's gravitational potential energy, and the weight of a 71.4 kg astronaut living inside the station. HINT (a) the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.) N (b) the space station's gravitational potential energy (in J) (c) the weight (in N) of an 71.4 kg astronaut living inside the station Need Help? Watch It Read It MY NOTES ASK YOUR TEACHER PREVIOUS ANSWERS SERCP11 7.5.P.039. 8. [2/2 Points] DETAILS dp AMIN g ong Pva ladurial A 732006020610 ADVANCED AUD insert Oly f5 114 米 $ ヤ % 6 #3 9. %3D K. pa B. 目

the up mIbi, thla 2. In the future, we may encounter a civilization from another planet. They will not use the SI or AE systems of units. Suppose we meet aliens who use the Zerf as a unit of mass and the Spund as a unit of force. One Spund is the weight of a mass of one Zerf on the surface of Mars. The gravitational acceleration on Mars is 3.7 m/s?. a.) What is gc in the alien system of units? Be sure to include the numerical value and the units. b.) How much would a 350 Zerf object weigh on the surface of Mars, in Spunds? c.) How much would a 350 Zerf object weigh on the surface of the Earth, in Spunds? d.) To which system of units is the Zerf-Spund system most similar, Sl or AE?

The radius of Mars is approximately 2,100miles and it's acceleration due to gravity is 0.38g, where g is the acceleration due to gravity in Earth. Determine the velocity of escape of a body if it startto move away from Mars at a distance of one-tenth ofit'sradius aboveit's surface. a. 1.689 mi/sec c. 0.986 mi/sec e. none of the choices b. 0.689 mi/sec d. 1.896 mi/sec

Three 10 kg masses are located at distances d1=0.25 m and d2=0.35 m. What are... a. The magnitude and direction of the net gravitational force on A due to both B and C? b. Write the net gravitational force in unit vector notation.  c. At what position would you put a 20 kg mass if you wanted the net force on A to be zero, all other masses and positions remaining the same?