2. Calculate the distance between the Sun and Jupiter of the mass of the Sun is 1.99 x 10^30kg and the mass of Jupiter is 1.89 x

Question

4 years ago

12

10^27kg and the gravitational force acting between them is 4.14 x 10^23N.

1 answer:

Firlakuza [10] · Answer 1 · 2021-12-23T20:41:12+03:00

The distance between the Sun and Jupiter is $7.78\cdot 10^{11}m$

Explanation:

The magnitude of the gravitational force between two objects is given by

$F=G\frac{m_1 m_2}{r^2}$

where

$G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}$ is the gravitational constant

$m_1, m_2$ are the masses of the two objects

r is the separation between them

In this problem, we have:

$F=4.14\cdot 10^{23} N$ is the gravitational force between the Sun and Jupiter

$m_1 = 1.99\cdot 10^{30} kg$ is the mass of the Sun

$m_2 = 1.89\cdot 10^{27}kg$ is the mass of Jupiter

Solving the equation for r, we find the distance between Jupiter and the Sun:

$r=\sqrt{\frac{Gm_1 m_2}{F}}=\sqrt{\frac{(6.67\cdot 10^{-11})(1.99\cdot 10^{30})(1.89\cdot 10^{27})}{4.14\cdot 10^{23}}}=7.78\cdot 10^{11}m$

Learn more about gravitational force:

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