Question: Ten points to whoever can correctly answer this simple physics problem!!?
An asteroid orbiting the Sun has a mass of 4.00×1016 kg. At a particular instant, it experiences a gravitational force of 3.14×1013 N from the Sun. The mass of the Sun is 1.99×1030 kg. How far is the asteroid from the Sun?
F = GmM/R² → R = √[GmM/F] = √[G*4.6E16*1.99E30/3.14E13]
R = 4.4096E11 m
F = G m1 m2 / r^2
r = sqrt( G m1 m2 / F)
you have F, m1 and m2 in correct units
G = 6.67E-11
so grab a calculator and go for it
the answer will be in meters
I get about 4E11 m or 4E8 km or 400 million km
Why are you making people do your homework? Its the same equation just move the variables around and solve for r
F=Gm1m2/r2 --> square root of the whole thing (Gm1m2/F)=r
Use the same number for G, m1 is mass of lets say the sun and m2 is mass of asteroid, use 3.14*10^13 N as your F