Calculate the force of gravitation due to earth on a ball of 1 kg mass lying on the ground- - Given mass of earth- 6 x 1024 kg- Radius of earth - 6-4 x 10 -8203-3 nbsp-km and G- 6-7 x 10 -8203-11 Nm -8203-2 nbsp- kg -8203-2 -8203-

Dear Student , Here the force of gravitation due to earth is , FG=GMemRe2=6 #183;7 #215;10 11 #215;6 #215;1024 #215;16 #183;4 #215;1062=9 #183;8 ...

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Standard X

Physics

Gravitational Force

Calculate the...

Question

Calculate the force of gravitation due to earth on a ball of 1 kg mass lying on the ground. ( Given mass of earth= 6 x 10²⁴kg, Radius of earth = 6.4 x 10³ km and G= 6.7 x 10^-11 Nm²kg^-2.

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Solution

Dear Student ,
Here the force of gravitation due to earth is ,
$F_{G} = \frac{G M_{e} m}{{R_{e}}^{2}} = \frac{6 \cdot 7 \times 10^{- 11} \times 6 \times 10^{24} \times 1}{{(6 \cdot 4 \times 10^{6})}^{2}} = 9 \cdot 81 N$
Regards

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Calculate acceleration due to gravity at a height of $2000 k m$ above the Earth's surface. Mass of Earth = $6 \times 10^{24} k g$ , radius of Earth = $6.4 \times 10^{6}$ m and (Gravitational constant, G $= 6.7 \times 10^{- 11} N m^{2} k g^{- 2}$ )

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Q. If mass and radius of the Earth are

6.0 \times 10^{24} k g

and

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Use

G = 6.67 \times 10^{- 11} N m^{2} k g^{- 2}

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Calculate the force of gravitation due to earth on a ball of 1 kg mass lying on the ground. ( Given mass of earth= 6 x 1024 kg, Radius of earth = 6.4 x 10​3 km and G= 6.7 x 10​-11 Nm​2 kg​-2​.

Dear Student , Here the force of gravitation due to earth is , FG=GMemRe2=6·7×10-11×6×1024×16·4×1062=9·81 N Regards

Calculate the force of gravitation due to earth on a ball of 1 kg mass lying on the ground. ( Given mass of earth= 6 x 10²⁴kg, Radius of earth = 6.4 x 10³ km and G= 6.7 x 10^-11 Nm²kg^-2.

Dear Student ,
Here the force of gravitation due to earth is ,
$F_{G} = \frac{G M_{e} m}{{R_{e}}^{2}} = \frac{6 \cdot 7 \times 10^{- 11} \times 6 \times 10^{24} \times 1}{{(6 \cdot 4 \times 10^{6})}^{2}} = 9 \cdot 81 N$
Regards