6. Alpha Centauri, the nearest star other than the Sun, is 4.4 light-years from our Sun. An asteroid, lost in space, is directly between these 2 stars. Where would it be located (measured in distance from our Sun) for the gravitational force on it from these 2 stars to be equal? 1 light-year 9.461 · 1015 m. The mass of Alpha Centauri is 4.00 - 1030 kg.
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- A satellite has an orbital radius of 100km above the earth's surface. Earths mass= 5.97x10^24kg. Earths radius=6.38x10^6. What is the speed of the satellite? How many minutes does it take the satellite to complete one orbit?9) The speed of light is 3 × 108m/s. The Sun has a mass of 2 × 1030kg.a). If all of the Sun’s mass were concentrated at a single point, at what distance would the orbital velocity of an object be the speed of light? The universal gravitational constant is G=6.67×10−11[m3/(s2 · kg)] (Schwarzchild radius). b). Suppose the Sun were to actually collapse into such a black hole meaning that its radius shrinks to the size in part (a), and the mass remains the same. How would the orbit of the Earth change (if at all?) In other words, would the orbital radius or velocity change, and if so, by how much? Explain.c). The sun rotates once every 24 days and has a radius of 6.96×108m. What would the rotational period of the sun be if it collapsed to a radius equal to the radius in part (a)?Determine the gravitational force of attraction between the Earth and Jupiter given the mass of the earth is 6 x 10^24 kg, the mass of Jupiter is 1898.6 x 10^24 kg and the closest distance is about 5.88 x 10^11 m. Use scientific notation for final result. Use G= 6.7 x 10^-11 N-m^2/kg^2.
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- The mass of Mars is M = 6,42 · 1023 kg, and its radius is R = 3396 km.a) Determine the gravitational acceleration on the surface of Mars.b) How high can an astronaut jump on Mars and how high on Earth if in both caseshe leaves the ground with a starting speed v0 = 1 m/s?The value of the gravitational constant is G = 6,67 · 10−11 m3 kg−1s−2.Question 1 The Oort Cloud extends out to (possibly) one light- year from the sun. Objects in the Oort Cloud are still gravitationally bound to the sun. Suppose one such iceball orbits the sun in a circle. I'm going to alter some numbers, such as the mass of the sun and even G. The gravitational force is directed toward the sun and has the following magnitude: GMm p2 Calculate the force on the object if these are the numbers: G = 5.1*10-11 N*m?/kg² • M = 2.4*1030 kg • m = 1.0*10® kg r = 7*1015 m Calculate your answer in microNewtons (10-6 N).If you weigh 665 N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 15.0 km? 1.99x1030 kg, the gravitational constant to be G 6.67x101 N m2/kg2 , and the acceleration due to gravity Take the mass of the sun to be ms at the earth's surface to be g 9.810 m/s2 .
- The planet Saturn has a mass of 5.68 x 1025 kg and à radius of 58,200 km. Janus, a moon of Saturn, has a mass of 1.9 x 10¹8 kg and it orbits Saturn a distance of 151,400 km from the center of Saturn. Part A - How many hours does it take for Janus to orbit Saturn? VG ΑΣΦ @ C CAC ? Submit Provide Feedback Request Answer hoursIf you weigh 685 N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 18.0 km ? Take the mass of the sun to be ms = 1.99×1030 kg , the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s2 . Express your weight wstar in newtons.John (70.0 kg) is standing 2.50 m away from Sam (60.0 kg). Find the gravitational force between John and Sam. Possible Formulas that can be used to solve 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