The End of the Lunar Module On Apollo Moon missions, the lunar module would blast off from the Moon’s surface and dock with the command module in lunar orbit. After docking, the lunar module would be jettisoned and allowed to crash back onto the lunar surface. Seismometers placed on the Moon’s surface by the astronauts would then pick up the resulting seismic waves. Find the impact speed of the lunar module, given that it is jettisoned from an orbit 110 km above the lunar surface moving with a speed of 1630 m/s.
The End of the Lunar Module On Apollo Moon missions, the lunar module would blast off from the Moon’s surface and dock with the command module in lunar orbit. After docking, the lunar module would be jettisoned and allowed to crash back onto the lunar surface. Seismometers placed on the Moon’s surface by the astronauts would then pick up the resulting seismic waves. Find the impact speed of the lunar module, given that it is jettisoned from an orbit 110 km above the lunar surface moving with a speed of 1630 m/s.
The End of the Lunar Module On Apollo Moon missions, the lunar module would blast off from the Moon’s surface and dock with the command module in lunar orbit. After docking, the lunar module would be jettisoned and allowed to crash back onto the lunar surface. Seismometers placed on the Moon’s surface by the astronauts would then pick up the resulting seismic waves. Find the impact speed of the lunar module, given that it is jettisoned from an orbit 110 km above the lunar surface moving with a speed of 1630 m/s.
Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500 km high. Due to the satellite's small mass, the acceleration due to gravity on Io is only 1.81 m/s2and Io has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled.
a)What must be the speed of material just as it leaves the volcano to reach an altitude of 380 km?
b)If the gravitational potential energy is zero at the surface, what is the potential energy for a 33 kg fragment at its maximum height (500 km) on Io?
c)How much would this gravitational potential energy be if it were at the same height (500 km) above earth?
Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg and a radius of 1821 km. For this calculation, ignore any variation in gravity over the 500 km range of the debris. How high would this material go on earth if it were ejected with the same speed as on Io?
2. (a) What are meant by gravitational potential and gravitational field? How far away fromthe earth does the acceleration due to gravity become 10% of its value on the earth’ssurface? NB:The radius of the earth is 6370 km. (b) What is meant by escape velocity? Show that the escape velocity from the surface of earthis √2 times the velocity of projection of an artificial satellite orbiting close around the earth.Obtain the escape velocity of an atmospheric particle 100 km above the earth’s surface. Giventhat ME = 5.98 × 1024 kg, RE = 6370 km, G = 6.67 × 10-11 N.m2/kg2.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.