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  4. A man weighs 80 kg on earth surface. The height above ground where he will weigh 40 kg, is: (radius of earth is 6400 km)

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Q. A man weighs 80 kg on earth surface. The height above ground where he will weigh 40 kg, is: (radius of earth is 6400 km)

KEAMKEAM 2003Gravitation

Solution:

$ w=\frac{w}{{{\left( 1+\frac{h}{r} \right)}^{2}}} $ $ \Rightarrow $ $ 40=\frac{80}{{{\left( 1+\frac{h}{r} \right)}^{2}}} $ $ \Rightarrow $ $ h=0.41\,r $