A mass of 10 kilograms would weigh how much on that planet? The approximate conversion for weight from Earth to Uranus would be. F = G M m ( R + h) 2 - - - - (1) This is the equation of force acting on the object due to gravitation and will be equal to the force acting on the object due to acceleration due to gravity at a height h. i.e. What is the gravitational acceleration on a planet where a 2.0 kg mass has a weight of 16 N on the planet's surface? Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. . The mass of Venus is 0.8140 times that of earth, and its radius is 0.950 times that of earth. r Equation: OpenStax College Physics Solution, Chapter 6, Problem 35 (Problems Thank you for taking time to provide your feedback to the editors. is the distance between the two point-like masses. As a result, its surface gravity (again, measured from the top of its clouds) is just slightly more than Earth's, which is 10.44 m/s2 (or 1.065 g). (since gravity acts downwards on an object). Determine the mass of planet x, if it is known that its radius is 5000 km and the acceleration at its surface is 8 m. Planet X has mass of 1.3 times the mass of planet Earth and radius of 3.2 times the radius of Earth. (a) Calculate Earth's mass given the acceleration due to gravity at the North Pole is 9.830 m/s2 and the radius of the Earth is 6371 km from center to pole. These cookies track visitors across websites and collect information to provide customized ads. The table shows the mass of and acceleration due to gravity for several Uranus has a thick atmosphere made of methane, hydrogen, and helium. What is causing the plague in Thebes and how can it be fixed? [/caption] g&=\sqrt{\dfrac{6.67\times 10^{-11}\;\rm m^3/kg.s^2\times 8.68\times 10^{25}\;\rm kg}{\left ( 2.33\times 10^{7}\;\rm m\right )^2}}\\ Calculate the force of the Earth's gravity on a spacecraft 2 Earth radii above the Earth's surface, if its mass is 1,402 kg. (a) The mass of the planet Jupiter is 1.9 x 10^27 kg and its radius is 7 x 10^7 m. What is the acceleration of gravity in m/s^2 on the surface of Jupiter? Answer in m/s^2. Equation: gravity - Gravitational acceleration inside a planet - Astronomy Stack You also have the option to opt-out of these cookies. Calculate the force of gravity on a spacecraft 12800 km above the Earth's surface if its mass is 700 kg. The distance between them is 143 x 1010 m. Give your answer i. For gaseous bodies, the "surface" is taken to mean visible surface: the cloud tops of the gas giants (Jupiter, Saturn, Uranus and Neptune), and the Sun's photosphere.
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