Explain what happens when a body is raised to a height from the surface of earth and then given a horizontal velocity v such that:
i) 0 < v < 8.0 km/s
ii) v = 8.0 km/s
iii) 8.0 < v < 11.2 km/s
iv) v = 11.2 km/s
1
Expert's answer
2016-01-19T08:28:41-0500
Significant speed values: a) 8.0 km/s (circular velocity, first cosmic velocity) is a minimum speed required to orbit around the Earth; b) 11.2 km/s (escape velocity, second cosmic velocity) is a minimum speed required to overcome Earth gravity and escape to interplanetary space Thus, in specified cases: i) 0 < v < 8.0 km/s - the body will fall back to Earth ii) v = 8.0 km/s - the body will orbit around the Earth iii) 8.0 < v < 11.2 km/s - the body will orbit around the Earth, with different orbit radiuses iv) v = 11.2 km/s - the body will escape Earth gravity and travel to interplanetary space
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