1. If the Moon takes 27.3 days to complete its orbital path around the Earth, and...

1. If the Moon takes 27.3 days to complete its orbital path around the Earth, and the orbit has a radius of 3.8 x 10⁸ meters, what is the Earth's Mass? Express your answer using scientific notation with three significant figures.

(Note: Earth's Mass has been listed on other materials and questions. The value for the Moon's orbital period has been modified so it's close to that value, but not exactly that value. Make sure to do the calculations for this one!)

2. A military surveillance satellite is in circular orbit around the Earth at an altitude of 1,000 km above the surface. If the Earth's mass is 5.97 x 10²⁴ kg and its radius is 6,370 km, what is the satellite's orbital speed in m/s? Round to the nearest integer.

3. If the Earth's Moon has a radius of 1.738 x 10⁶ meters and a mass of 7.30 x 10²² kg, what will its free-fall acceleration near its surface be? Round to the nearest hundredth (0.01).

4. Two celestial objects are in space: one with a mass of 6.27 x 10⁸ kg and one with a mass of 1.97 x 10¹⁰ kg. If they are separated by a distance of 2.37 km, what is the magnitude of the force of attraction (in newtons) between the objects? Round to the nearest integer.

Note: 1 km = 1,000 m.

5. Suppose we have two planets with the same size, but the second one has twice the mass of the first one.

How does the free-fall acceleration on the second planet compare to the first planet?

Group of answer choices

It increases by a factor of 4.

It decreases by a factor of 4.

It decreases by a factor of 2.

It increases by a factor of 2.

It remains unchanged.

Solutions

Expert Solution

genius_generous answered 1 year ago

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