Question

the gravitational force between sun and Jupiter is approximately 4x10 23N. if the mass of the sun= 1.99x1030 kg, the mean distance of the Jupiter from the sun is 7.8x1011 m find the mass of Jupiter.

Answer 1

I hope it's right..
if it is pls mark it brainlist

Answer 2

$<b > Answer :-$

_______________________________

• Given :-

The gravitational force between sun and Jupiter is approximately ( F ) = 4x10^23N.

The mass of the sun ( m₁ ) = 1.99x10^30 kg.

The mean distance of the Jupiter from the sun is ( r ) = 7.8x10^11 m.

• To find :-

The mass of Jupiter.

• Salutation :-

Let the mass of Jupiter be m₂

[ • Note :- So we need the value of m₂ ]

As the Newton's law of Gravitation

F = G × m₁ × m₂ / r²

[ • Where , G is the universal gravitational constant ]

[ G = 6.67 × 10^-11 N . m² ]

m₂ = r² × F / G × m₁

m₂ = { ( 7.8 x 10^11 )² × ( 4 × 10^23 ) } / { ( 6.67 × 10^-11 ) × ( 1.99 x 10^30 ) }

m₂ = ( 60.84 × 10^22 × 4 × 10^23 ) / ( 13.27 × 10^19 )

m₂ = ( 243.36 × 10^45 ) / ( 13.27 × 10^19 )

m₂ = 18.33 × 10^45 × 10^-19

m₂ = 18.33 × 10^26

•°• m₂ = 18.33 × 10^26 kg.

Therefore , the mass of Jupiter is 18.33 × 10^26 kg.

________________________________

★ Be Brainly ★