Given that the universal gravitational constant is G=6.7×10-11 N m2/kg If the radius of a planet is 6000.0km and its mass is 5.0×1024kg consider a satellite of mas 2500kg orbiting another 1000.0km above its surface and answer the questions below a) Calculate the gravitational field strength (g) from the planet on the orbiting satellite. Ignore the satellite’s radius b) What is the satellite’s ‘weight’ because of the nearby planet that it orbits around?

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a) Given the known information below about Triton (the largest moon of Neptune)  calculate the mass of Neptune. Mass of Triton: 2.141022 kg Orbital Radius of Triton: 3.55105 km Orbital Period of Triton: 5.88 days b) A person weighs 605 N on the surface of Earth. Using your mass of Neptune from part a, determine the weight of this person on the surface of Neptune, which has a planetary radius of 24,600 km.

Problems: 1. A stone is thrown near the surface of a planet and its horizontal and vertical position as a function of time are given as x(t) = 5 + 8t (horizontal) y(t) = 3+ 12t – 8t2 (vertical) where x and y are given in meters and t is in seconds. a) planet in units of mis. by c) d) is 9m. Calculate the magnitude of surface gravitational acceleration of this Calculate the time when the stone is at its maximum height. Calculate the velocity vector at t=1.125s. Calculate the velocity vector when horizontal position of the stone