Mathematics, 22.01.2021 14:00 edjiejwi
The force of gravity, F, exerted between two objects is equal to the product of the gravitational constant, G, the mass of the first object, m1, and the mass of the second object, m2, divided by the square of the distance between their centers, d. This is often used to determine the gravitational attraction between two massive bodies, such as planets, in space.
a. Write the formula for F described in the situation above.
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b. If you were a physicist trying to determine the gravitational constant and you were able to measure the force of gravity exerted between two objects, their masses, and the distance between their centers, how would you rewrite this formula?
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c. When the center of Earth is 2 Γ 108 kilometers from the center of Mars, the force of gravity between the two planets is about 64.32 Γ 1022 newtons. The mass of Earth is about 6 Γ 1024 kilograms, and the mass of Mars is about 6.4 Γ 1023 kilograms. Using these values, estimate the gravitational constant.
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d. Rewrite the original formula to solve for one of the mass values.
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e. When the center of Earth is 3.8 Γ 105 kilometers from the center of the moon, the force of gravity between Earth and the moon is about 20.46 Γ 1025 newtons. Use these values, along with the mass of Earth and the gravitational constant you found in part c, to estimate the mass of the moon.
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I HAVE QUESTIONS A through C but can anyone help me with D and E it would be greatly appreciated!!
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