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a) In 2017, NASA announced the discovery of seven planets with sizes similar to the Earth...

a) In 2017, NASA announced the discovery of seven planets with sizes similar to the Earth orbiting a red dwarf star 40 light years away. Based on the data in the table shown, what is the acceleration due to gravity on planet g?

(B) Use the orbital data for planet g and Kepler's 3rd Law to find the mass of the star these planets orbit. Give your answer relative to the Sun's mass. For example, if the star were 1/2 the mass of the Sun, enter 0.5.

(C)An artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 8.5 m/s2. Find the orbital period of the satellite in hours.

(D) At the Earth's surface, a projectile is launched straight up at a speed of 7500 m/s. What is its maximum height in kilometers? g is definitely not a constant 9.8 m/s2. Use R = 6,370,000 m for the radius of the Earth.

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