One of your summer lunar space camp activities is to launch a 1210-kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 229 km. What gain in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively.
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- A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.6 x 10* m/s. Its farthest distance from the Sun is beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s Additional Materials eBook O Show My Work (Optional)A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.5 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.2 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = 690 X m/s Additional Materials eBookA 3500-kg spaceship is in a circular orbit 220 km above the surface of Earth. It needs to be moved into a higher circular orbit of 390 km to link up with the space station at that altitude. In this problem you can take the mass of the Earth to be 5.97 × 1024 kg.How much work, in joules, do the spaceship’s engines have to perform to move to the higher orbit? Ignore any change of mass due to fuel consumption.
- Please answer parts a-cA comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 × 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 10¹2 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed= i ! m/sZero, a hypothetical planet, has a mass of 4.5 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero?
- A space probe is in orbit around Mars at an altitude of 1200 km. To move to a higher orbit, small rocket engines are used to provide the energy required.(a) Compare the kinetic energy of the space probe in the lower and higher orbit.(b) Explain why energy is required to move the space probe from a lower to a higher orbit. In your answer refer to the total energy of the satellite.What is the gravitational potential energy of Saturn due to the Sun? Assume MSaturn = 5.68×1026 kg, MSun = 2.0×1030 kg, and the orbital distance is r= 1.43×109 km.In a futuristic scenario, you are assigned the mission of making an enemy satellite that is in a circular orbit around Earth inoperative. You know you cannot destroy the satellite, as it is well protected against attack, but you can try to knock it out of its orbit so it will fly away and never return. What is the minimum amount of work ? applied to the satellite that is required to accomplish that? The satellite's mass and altitude are 975 kg and 259 km. Earth's mass and radius are 5.98×1024 kg and 6370 km.W = ? J
- In a futuristic scenario, you are assigned the mission of making an enemy satellite that is in a circular orbit around Earth inoperative. You know you cannot destroy the satellite, as it is well protected against attack, but you can try to knock it out of its orbit so it will fly away and never return. What is the minimum amount of work ?W applied to the satellite that is required to accomplish that? The satellite's mass and altitude are 969 kg969 kg and 241 km.241 km. Earth's mass and radius are 5.98×1024 kg5.98×1024 kg and 6370 km.A satellite has a mass of 100 kg and is Located at 2.00 × 10 6m above the surface of Earth.(a) What is the potential energy associated with the satellites tins location? (b) What is the magnitude of the gravitational force on the satellite?In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.40×1016 kg and a radius of 8.20 km What is the speed of a satellite orbiting 4.90 km above the surface? What is the escape speed from the asteroid?