Mars has a mass of about 6.8 × 1023 kg,
and its moon Phobos has a mass of about
9.5 × 1015 kg.
If the magnitude of the gravitational force
between the two bodies is 4.66 × 1015 N,
how far apart are Mars and Phobos?
F=GM1M2/d^2 calculate d
To determine the distance between Mars and Phobos, we can use Newton's law of universal gravitation. The formula for gravitational force is given by:
F = G * (m1 * m2) / r^2
Where:
F is the magnitude of the gravitational force,
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2),
m1 and m2 are the masses of the two bodies, and
r is the distance between the two bodies.
We are given:
Mars mass, m1 = 6.8 × 10^23 kg
Phobos mass, m2 = 9.5 × 10^15 kg
Gravitational force, F = 4.66 × 10^15 N
We need to solve for r. Rearranging the formula, we have:
r = √((G * (m1 * m2)) / F)
Substituting the given values into the formula, we can now calculate the distance between Mars and Phobos.