In this lesson, we will learn how to apply Newton’s law of universal gravitation to find the gravitational force between two masses.
Students will be able to
Q1:
Find the mass of a planet, given that the acceleration due to gravity at its surface is 6.003 m/s2, its radius is 2,400 km, and the universal gravitational constant is 6.67Γ10ο±ο§ο§ Nβ m2/kg2.
Q2:
Two planets are separated by a distance of 3Γ10ο¬ km. The mass of the first is 9.9Γ10ο¨ο¨ metric tons, and that of the other is 10ο¨ο metric tons. Given that the universal gravitational constant is 6.67Γ10ο±ο§ο§ Nβ m2/kg2, and that 1 metric ton equals 1,000 kilograms, find the force of gravity between them.
Q3:
A planet has a mass of 8.4Γ10ο¨οͺ kg and a radius of 5,723 km. Given that the mass of the Earth is 5.97Γ10ο¨οͺ kg, its radius is 6,340 km, and the acceleration due to gravity at its surface is 9.8 m/s2, find the acceleration due to gravity π at the surface of the other planet, approximating your answer to the nearest two decimal places.
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