Mars has a mass of about 6.47 × 10^23 kg, and its moon Phobos has a mass of about 9.7 × 10 ^15 kg.?
If the magnitude of the gravitational force
between the two bodies is 4.45 × 10^15
N,
how far apart are Mars and Phobos? The
value of the universal gravitational constant
is 6.673 × 10^−11N · m^2/kg^2.
Answer in units of m
More Questions From This User See All
Answers & Comments
Verified answer
F=G*Mars mass*Phobos mass/(radium of distance)^2
r=5930km=5,930,000 m
Mars mass=6.4185 × 1023 kg
Phobos mass=1.07x10^16
F=(6.67 * 10^-11)*(6.4185 × 10^23 kg)*(1.07 × 10 ^15 kg)/(r=5,930,000m)^2=(1.3x10^37 N/m)
For reverse Formula:
r =√( G*M*m / F )
√ (6.67 * 10^-11)*(6.4185 × 10^23 kg)*(1.07 × 10 ^15 kg)/(1.3x10^37 N/m)=radium of distance between Mars and Phobos 5,930,000m
m= (F x d^2) / (GM)
[(1.3x10^37 N/m) *(11,860,000m)^2/(6.67 * 10^-11)*(6.4185 × 10^23 kg)]=1.07x10^16