Consider two planets, each with mass 9 x 1024 kg. The first planet is located at coordinates (6 x 107 m, 0 m), and the second is located at (-6 x 107 m, 0 m). Calculate the magnitude of the gravitational field due to the two planets at coordinates (0 m, 1 x 107 m), in N/kg
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(Please answer to the fourth decimal place - i.e 14.3225)
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- Compare the magnitude of the gravitational field at the surface of the earth due to the moon with that due to the sun. (Hint: The mass of the sun is 1.99 x 10^30 kg, the mass of the moon is 7.36 x 10^22 kg, and the distance from the surface of the earth to the moon is 3.78 10^8 m.)In this problem you will measure the gravitational constant in a series of “observational experiments,” making use of Newton’s law of gravitation and second law of motion as well as Kepler’s third law of planetary motion Suppose a rocket is launched as described in part (d) with an initial speed of vi = 494 m/s and attains a peak altitude of H = 12.7 km above the surface of Earth. Taking ME = 5.95×1024 kg and Ri = 6.41×106 m, what is the measured value of the gravitational constant, in units of N⋅m2/kg2?The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.
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