Question
Download Solution PDFWhat is the escape speed on earth for any object?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Escape Velocity (v):
- The minimum velocity required to escape the gravity of the earth is called escape velocity.
- If an object is through with this speed or above, it will escape the gravity of earth and will not return back.
- Escape velocity (ve) for a body on earth is given as
- \(V_e = \sqrt {\frac{2GM}{R}}\)
G is the universal gravitational constant, M is the mass of earth, R is the radius of the earth.
Explanation:
The value of the Universal gravitational constant is G = 6.67 × 10-11 N kg-2 m2.
Mass of Earth is M = 5.972 × 1024 kg
Radius of earth is R = 6370000 m
Putting this in the expression of escape velocity we will get the value of it around 11.2 km/s.
So the correct option is 11.2 km/s
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