Question

The mass of Mars is 6. 42 × 1023 kg. Its moon Phobos is 9378 kilometers away from Mars and has a mass of 1. 06 × 1016 kg. What is the gravitational force between Mars and Phobos? 5. 16 × 1015 N 5. 16 × 1021 N 4. 84 × 1022 N 4. 84 × 1025 N.

Answer 1

The gravitational force between two massive objects is directly proportional to the product of masses. The value of the gravitational force between Mars and Phobos is$5. 16 \times 10^2^1 \rm \ N$.

Newton's law of universal gravitation:

$F=G{\dfrac{m_1m_2}{r^2}}$

Where,

$F$ = Force

$G$ = Gravitational constant = $\bold {6.67 x 10^{-11 }}$N.m²/kg²

$m_1$ = Mass of Mars =  $\bold {6. 42 \times 10^{23 }\rm \ kg}$

$m_2$    = Mass of Phobos = $\bold {1.06 \times 10^{16 }\rm \ kg}$

$r$ = Distance between centers of the masses = 9378 km

Put the values in the formula,

$F=\bold {6.67 x 10^{-11 }}{\dfrac{\bold {6. 42 \times 10^{23 }\rm \ kg}\times \bold {1.06 \times 10^{16 }\rm \ kg}}{9378 ^2}}\\\\F= 5. 16 \times 10^2^1 \rm \ N$

Therefore, the value of the gravitational force between Mars and Phobos is$5. 16 \times 10^2^1 \rm \ N$.

Learn more about Newton's law of universal gravitation: brainly.com/question/858421