Respuesta :
Givens
======
F1 = 785 N on earth
F2 = Force on Sun
F3 = Force on Star
r_earth = 6371 km
r_sun = 695 700 km
r_star = 15/2 km = 7.5 km
m_earth = 5.972 * 10^24 kg
m_sun = 2 * 10^30 kg
Formula
======
F_sun / F_earth = G *m_test * m_sun/(r_sun)^2 // G * m_test *m_earth / (re)^2
Again, there are cancellations
F_sun/F _ earth = [m_sun/m_earth ] * [(r_sun)^2 / (r_earth)]^2
Substitution and solution
===================
F_sun = 785 * (2*10^30 / 6*10^24) * (695700)^2 / (6371)^2 Note the radii do not have to be converted since the conversions would cancel anyway.
Solving this mess gives
F_sun = 3.12 * 10^12 Note I have rounded. You can put in the exact number.
This may not seem possible, but I don't think I've made an error. Now you go through the same process for the star. I leave that for you
======
F1 = 785 N on earth
F2 = Force on Sun
F3 = Force on Star
r_earth = 6371 km
r_sun = 695 700 km
r_star = 15/2 km = 7.5 km
m_earth = 5.972 * 10^24 kg
m_sun = 2 * 10^30 kg
Formula
======
F_sun / F_earth = G *m_test * m_sun/(r_sun)^2 // G * m_test *m_earth / (re)^2
Again, there are cancellations
F_sun/F _ earth = [m_sun/m_earth ] * [(r_sun)^2 / (r_earth)]^2
Substitution and solution
===================
F_sun = 785 * (2*10^30 / 6*10^24) * (695700)^2 / (6371)^2 Note the radii do not have to be converted since the conversions would cancel anyway.
Solving this mess gives
F_sun = 3.12 * 10^12 Note I have rounded. You can put in the exact number.
This may not seem possible, but I don't think I've made an error. Now you go through the same process for the star. I leave that for you