1. Assume that your mass is 65 kg. What is the force of gravity exerted on you by the earth?
Mass of the earth 5.97 x 10^24 kg and the radius of the Earth is 6378 km
2. What is the maximum value of the force of gravity exerted on you by Jupiter?
1 AU = 150.000.000 km and mass of Jupiter is 2 x 10^27 kg
3. What is the gravitational force between you and a person sitting 1/3 m away? Assume each of you has a mass of 65 kg (For simplicity, assume all objects are spherical)
4. If someone weighs (has a gravitational force acting on them) 150 pounds on Earth,how much do they weigh on Mars? Mass of Mars 6.39 x 10^23 kg and radius of Mars is 3394 km.
5. What is the circular velocity of the space shuttle in lower Earth orbit (300 km above the surface)?
6. What was the minimum speed required for Apollo 11 to leave the Earth?
7. What is the desnsity of the Earth? How does this compare to the density of rocks (between 2000 and 3500 kg/m^3)? What does this mean?
8. There are about 7000 asteroids in our solar system. Assume each one has a mass of 10^17 kg. What is the total mass of all the asteroids? If these asteroids are all rocky, and so have a density of about 3000 kg/m^3, how large a planet could be formed from them?
9. An asteroid’s closest approach to the Sun (perihelion) is 2 AU, and farthest distance from the Sun (aphelion) is 4 AU. What is the semi-major axis of its orbit? What is the period of the asteroid? What is the eccentricity?
10. Halley’s comet has an orbital period of 76 years and its furthest distance from the Sun is 35.3 AU. How close does Halley’s comet come to the Sun? How does this compare to the Earth’s distance from the Sun? What is the orbit’s eccentricity?
Mass of the earth 5.97 x 10^24 kg and the radius of the Earth is 6378 km
2. What is the maximum value of the force of gravity exerted on you by Jupiter?
1 AU = 150.000.000 km and mass of Jupiter is 2 x 10^27 kg
3. What is the gravitational force between you and a person sitting 1/3 m away? Assume each of you has a mass of 65 kg (For simplicity, assume all objects are spherical)
4. If someone weighs (has a gravitational force acting on them) 150 pounds on Earth,how much do they weigh on Mars? Mass of Mars 6.39 x 10^23 kg and radius of Mars is 3394 km.
5. What is the circular velocity of the space shuttle in lower Earth orbit (300 km above the surface)?
6. What was the minimum speed required for Apollo 11 to leave the Earth?
7. What is the desnsity of the Earth? How does this compare to the density of rocks (between 2000 and 3500 kg/m^3)? What does this mean?
8. There are about 7000 asteroids in our solar system. Assume each one has a mass of 10^17 kg. What is the total mass of all the asteroids? If these asteroids are all rocky, and so have a density of about 3000 kg/m^3, how large a planet could be formed from them?
9. An asteroid’s closest approach to the Sun (perihelion) is 2 AU, and farthest distance from the Sun (aphelion) is 4 AU. What is the semi-major axis of its orbit? What is the period of the asteroid? What is the eccentricity?
10. Halley’s comet has an orbital period of 76 years and its furthest distance from the Sun is 35.3 AU. How close does Halley’s comet come to the Sun? How does this compare to the Earth’s distance from the Sun? What is the orbit’s eccentricity?
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