NOTESASK YOUR TEACHERThree uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 1.00 mTwo of the spheres have a mass of 2.00 kg each. The third sphere (mass unknown) is released from rest. Considering onlythe gravitational forces that the spheres exert on each other, what is the magnitude of the initial acceleration of the thirdsphere?1.33e10m/s24.Additional MaterialseBook1Viewing Saved Work Revert to Last Responseabc?? TOMacBook Airesc000F2F3F4411FS76#34.8tabWTY.<6CO

Both masses attract third mass with F = Gm1m3/r2 = Gm2m3/r2 Angle between both forces is 60° since…

Answered: Three uniform spheres are located at…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched from this planet's surface is 7.65×103 m/sm/s. What is the acceleration due to gravity at the surface of the planet? Express your answer with the appropriate units.
Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let ga and gB are the accelerations due to gravity at their surfaces, respectively. If MA = MB, and RA = 2Rg The ratio (g3/gA) is: А. 1 В. 2 С. 4 D. 0.5 E. 0.25 O A В O D
Question 9
Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 337 km above the surface of the Moon, where the acceleration due to gravity is 1.18 m/s2. The radius of the Moon is 1.70 ✕ 106 m. (a) Determine the astronaut's orbital speed. m/s(b) Determine the period of the orbit. s
5. A particle travels in a circle of radius 12 m at a constant speed of 21 m/s. What is the magnitude of the acceleration? 6. The velocity of a particle in reference frame A is (4.0 î+ 5.0ĵ) m/s. The velocity of reference frame A with respect to reference frame B is 6.0 k m/s, and the velocity of reference frame B with respect to C is 2.0 j m/s. What is the velocity of the particle in reference frame C?
You re out in space, on a rotating wheel-shaped space station of radius 679 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.120 rpm 81.6 rpm 0.459 rpm 1.148 rpm
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QUESTION 17 In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a constant distance of 2.0 x101 m. How many earth days does it take for the planet ot execute one complete orbit about the sun? a. 660 days b. 460 days с. 360 days d. 260 days е. 560 days
Complete solution with explanation
The asteroid belt circles the sun between the orbits of Mars and Jupiter. One asteroid has a period of 5.0 earth years. Assume a 365.25-days year and MSun = 1.99 × 1030 kg. 1. What is the asteroid's orbital radius? Express your answer in two significant figures. 2. What is the asteroid's orbital speed? Express answer in two significant figures.
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.

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