2. The gravitational force between two identical spheres is given as 5x10-6 N. What is the mass of each sphere if they are 0.75 m apart from their centers? Fg = 5x10-6 m: = ? r = 0.75 m m2 = ?
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- 11. On a planet whose radius is 1.5 × 107 m, the acceleration due to gravity is 20 m/s². An astronaut with a mass of 60 kg is standing on its surface.7.) A sateltle orbits at a height of 6,000 km above the earth’s surface. REarth = 6.38 × 106 m, mEarth = 5.98 × 1024 kg. What is the magnitude of the gravitational acceleration g at this height, in m/s2? Use G = 6.67 × 10-11 N·m2/kg2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
- The Earth is about 81 times more massive than the Moon.The Earth and the Moon apply gravitational forces to each other. The magnitude of the gravitational force acting on the Earth is the gravitational force acting on the Moon.a greater thanb) equal toc) less thand) not enough information to tellNewton law of gravitational force between two masses m, and m2 and the distance between them is r, is given by F= G m,m2/R?. where G is the gravitational constant, what is the unit of G? Выберите один ответ: O a. Nm?/kg? O b. N m?/kg O c. N m/kg?The gravitational force of attraction between any two point masses is attractive and the magnitude: Gm₂m₂ G = 6.67 x 10-11 N-m² kg² F= where G is the gravitation constant, m, and m₂ are the masses, and r is the distance between the masses. This is quite different from the force of gravity that we have been using, where weight = mg. 1. Acceleration due to gravity: a. Lett one mass be the Earth and the other mass m is let go just above the surface of the Earth. Calculate the value of the acceleration due to gravity using Newton's law of gravitation. The net effect of the Earth's gravity is the same as if the all the mass of the Earth were concentrated at its center. b. The F-22 Raptor fighter jet has a service ceiling of 12 miles or 20 km. Determine the acceleration due to gravity at this altitude. c. The International Space Station is in low Earth orbit at a height of 400 km above the surface of the Earth. Determine the acceleration due to gravity at this altitude. d. What is assumed…
- 1. Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg, rearth = 6.38x10° km, and G=6.67x10" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.t_sat)?3. Four masses are at the vertices of a square. Find the magnitude of the gravitational force on the mass m1. Given: m1 = 6 kg, m2 = 80 kg, m3 = 80 kg, m4 = 80 kg, r = 24 m. G = 6.674 x 10-11 N•m2/kg2.Found a large planet the size of Jupiter orbiting a star. The distance of the planet is 1/9 times the distance between Mercury and the sun. The planet takes 3.09 days to make one orbit (assuming circular). How fast is the planet moving? (Knowing G = 6.67 × 10^-11 N m²/kg², distance of Mercury from the sun = 5.79 x 1010 m) a. 131 km/s b. 141 km/s c. 151 km/s d. 161 km/s e. 171 km/s