Question

The mass of sun is
$2 \times {10}^{30} kg$
and mass of earth is
$6 \times {10}^{24} kg$
. If the distance between the centre of sun and earth is
$1.5 \times {10}^{8} km$
. Calculate the force of gravitation between them​

Answer 1

$\bold { \red{EXPLANATION: }}$

$Distance \: 'd' =1.5×10^{8}km \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =1.5×10^{11} m$

$Mass \: of \: the \: Sun \: 'm' \\ =2×10^{30} \: Kg$

$Mass \: of \: the \: Earth \: 'M' \\ =6×10^{24} \: Kg$

$Force \: of \: Gravitation \: 'F' \\ =G \times \frac{M×m}{d^2}$

$F= 6.7 \times {10}^{ - 11} \times \frac{2 \times {10}^{30} \times 6 \times {10}^{24}}{(1.5 \times {10}^{11})^{2}} \\ = 3.57 \times {10}^{22} \: N$

$\therefore \: The \: force\: of \: Gravitation \:between \:them \: is \\= 3.57 \times {10}^{22} \: N$