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Calculate the gravitational force due to the earth on mahendra who has mass of 75kg. [mass of earth `=6xx10^24 kg " Radius of the earth " = 6.4xx10^6m , " Gravitational constant " (G) = 6.67xx10^(-11) Nm^2//kg^2` ]

Text Solution

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Given : Mass of the earth `(m_1) = 6xx10^24 kg`
Radius of the earth (R ) `=6.4xx10^6 m` ,
Mahendra's mass `(m_2 ) = 75kg`
Gravitational constant (G) `=6.67xx10^(-11) Nm^2//kg^2`
To find : Gravitational force (F)
`F= (Gm_1m_2)/(R^2)`
`F=(6.67xx10^(-11) xx 75 xx 6xx10^24)/(6.4xx10^6)^2`
`=(6.67xx75xx6)/(6.4xx6.4)`
=733N
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