Question

Newton’s law of universal gravitation is rep- resented by
F=GMm r2
Here F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2.
What are the SI units of the proportionality constant G?
1. m2/(kg2 · s2) 2. m/(kg · s2) 3. m2/kg
4. N · m/s2
5. m3/(kg · s2) 6. W/m3
7. m3/(kg2 · s2) 8. kg/(m2 · s2) 9. N · m
10. J · s/kg

Answer 1

well, since F = ma it is kg•m/s^2
so,

kg•m/s^2 = G•kg•kg/m^2
G = kg•m/s^2 * m^2/kg•kg = m^3/kg•s^2

#5

Which you could also have easily looked up online...