Mars has a mass of about 6.09x10^23 kg and it's moon Phobos has a mass of about 9.4 x10^15N how far apart are mars and Phobos? The value of the grav constant is 6.673 x10^-11 answer in units of N
Mars has a mass of about 6.09 × 1023 kg,and its moon Phobos has a mass of about 9.4 × 1015 kg.If the magnitude of the gravitational force between the two bodies is 4.61 × 1015 N,
how far apart are Mars and Phobos? The value of the universal gravitational constant is 6.673 × 10−11 N · m2/kg2.
Answer in units of m.
ANSWER THIS QUESTIONS, YOURS IS TOO EASY
To find the distance between Mars and Phobos, we can use the formula for the gravitational force between two objects:
F = (G * m1 * m2) / r^2
Where:
- F represents the gravitational force
- G is the gravitational constant (6.673 x 10^-11 N)
- m1 and m2 are the masses of the two objects (Mars and Phobos, respectively)
- r is the distance between the two objects
Now, we need to rearrange this formula to solve for r:
r^2 = (G * m1 * m2) / F
Plugging in the given values:
G = 6.673 x 10^-11 N
m1 = 6.09 x 10^23 kg
m2 = 9.4 x 10^15 N
F = m2 (since the gravitational force on Phobos is equal to the force exerted by Mars on Phobos)
Now, we can calculate the distance between Mars and Phobos:
r^2 = (6.673 x 10^-11 N * 6.09 x 10^23 kg * 9.4 x 10^15 N) / (9.4 x 10^15 N)
r^2 = 4.941 x 10^32 kg N / N
r^2 = 4.941 x 10^32 kg
To find r, we take the square root of both sides:
r = √(4.941 x 10^32 kg)
r ≈ 7.03 x 10^15 meters
Therefore, the distance between Mars and Phobos is approximately 7.03 x 10^15 meters.