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Please help!

An astronaut measured the surface gravity of a planet to be 5.77 m/s^s. If it’s radius is 4.17 x 10^6 m, what is the mass of the planet?

Please help! An astronaut measured the surface gravity of a planet to be 5.77 m/s-example-1

2 Answers

4 votes

Answer:

1.5x10^24

Step-by-step explanation:

User Rkhayrov
by
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5 votes

Answer:

1.5x10^24

Step-by-step explanation:

m * g = G * M * m ÷ r^2

g = G * M ÷ r^2

5.77 = 6.67 * 10^-11 * M ÷ (4.17 * 10^6)^2

M = 5.77 * (4.17 * 10^6)^2 ÷ 6.67 * 10^-11

this means the mass is approximately 1.5x10^24 also I just took this quiz and this is infact the right answer so I promise you it will work

User Dirk Dastardly
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4.4k points