Question

the gravitational force between two bodies is 6.67 into 10 to the power of -7 Newton's when the distance between their Centre is 10 M if the mass of the first body is 800 kg then the mass of second body is

Answer 1

Hello Mate!

Gravitational force = GMm/R²

6.67 × 10^-7 = [ ( 6.67 × 10^-11 ) × 800 × m ] / 10²

i.e., F = GMm/R²

F × R²/GM = m

=> ( 6.67 × 10^-7 ) × 100 / ( 6.67 × 10^-11 )( 800 ) = m

=> 10^( - 7 + 11 ) × 100/800 = m

=> 10⁴ × 1 / 8 = m

=> 1250 kg = m

Have great future ahead!

Answer 2

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Gravitational force = $\bf\huge\frac{GMm}{R^{2} }$

6.67 × $\bf\huge10^{-7}$ = $\bf\huge\frac{6.67 * 10^{-11}*800 * m }{10^{2} }$

F = $\bf\huge\frac{GMm}{R^{2} }$

$\bf\huge\frac{F * R^{2} }{GM}$ = m

=> $\bf\huge\frac{6.67 * 10^{-7} * 100 }{6.67 * 10^{-11}(800) }$ = m

=> $\bf\huge10^{-7 + 11}$ × $\bf\huge\frac{100}{800}$ = m

=> $\bf\huge10^{4}$ × $\bf\huge\frac{1}{8}$ = m

=> 1250 kg = m

$\bf\huge\boxed{\boxed{\boxed{\:m\:=\:1250\:kg}}}$

$\bf\huge\boxed{\boxed{\boxed{\:Radhe\:Radhe}}}$