3. An astronaut is standing on an unknown planet. If he estimates the planet is 2.505 x 10°m in radius and he can drop a ball of mass 0.250kg and it falls from a height of 8.00m in 1.71s, what is the mass of the planet?

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Please answer number 3, if it helps I know the answer is supposed to be m = 5.15 x 10^23 kg
3. An astronaut is standing on an unknown planet. If he estimates the planet is 2.505 x 10°m in
radius and he can drop a ball of mass 0.250kg and it falls from a height of 8.00m in 1.71s, what is
the mass of the planet?
4. A space station is being designed so that its outer ring rotates to give the illusion of gravity to
those standing inside of it. If the ring is 200.m in diameter, what will its period need to be in order
to simulate Earth's gravity? What will the linear velocity and angular velocity of an object within
the ring be?
5. The Earth's moon (m = 7.348 x 1022 kg; orbit = 3.84 x 10 m) has a linear velocity of 1022 m/s.
This is not the expected linear velocity of the moon! What is the expected value, and what does
this portend for the future of the moon?
Transcribed Image Text:3. An astronaut is standing on an unknown planet. If he estimates the planet is 2.505 x 10°m in radius and he can drop a ball of mass 0.250kg and it falls from a height of 8.00m in 1.71s, what is the mass of the planet? 4. A space station is being designed so that its outer ring rotates to give the illusion of gravity to those standing inside of it. If the ring is 200.m in diameter, what will its period need to be in order to simulate Earth's gravity? What will the linear velocity and angular velocity of an object within the ring be? 5. The Earth's moon (m = 7.348 x 1022 kg; orbit = 3.84 x 10 m) has a linear velocity of 1022 m/s. This is not the expected linear velocity of the moon! What is the expected value, and what does this portend for the future of the moon?
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