Question

The mass of Jupiter is 1.90 x 10^27 kg, and the mass of the sun is 1.99 x 10^30 kg. The average distance between Jupiter and the sun is 7.78 x 10^11 m. What is the gravitational force they exert on each other?

Answer 1

4.17 x 10^23 N

Step-by-step explanation:

Apply Newton's Law of Universal Gravitation:
`F_g = (Gm_1m_2)/(r^2)`

`\text{G = Gravitational Constant = }6.67*10^(-11) \text{ } (Nm^2)/(kg^2)\\\text{Let } m_1 \text{ be the mass of Jupiter: } 1.90 *10^(27) \text{ }kg\\\text{Let } m_12 \text{ be the mass of the Sun: } 1.99 *10^(30) \text{ }kg\\\text{Let } r \text{ represent the distance between the two bodies: } 7.78 *10^(11) \text{ }m\\\\`

`\text{Substitute the known variables into the equation: }\\F_g = (Gm_1m_2)/(r^2) = \frac{(6.67*10^(-11)\text{ } (Nm^2)/(kg^2))(1.90 *10^(27)\text{ }kg)(1.99 *10^(30)\text{ }kg)}{(7.78 *10^(11) \text{ }m)^2}`

Solving the final equation yields 4.17 x 10^23 N with 3 significant digits