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An astronaut on the surface of the Moon fires a cannon to launch an experiment package, which leaves the barrel moving horizontally. Assume the free-fall acceleration on the Moon is one-sixth of that on the Earth. (The radius of the Moon is about 1,738 km. Assume that there is zero initial vertical velocity.)
(a) What must the muzzle speed of the package be so that it travels completely around the Moon and returns to its original location? (Assume the package travels in a circular orbit around the Moon.)
km/s (b) What time interval does this trip around the Moon require?
hr
A spaceship is moving around the Earth in a 500- x 1000km orbit. At apogee, a retrorocket is fired in a direction exactly opposite to the spaceship's velocity vector. How much time elapsed between retrofire and impact
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