4. Newton’s law of universal gravitation is represented by
`F = (GMm)/ (r^2)`
where `F` is the magnitude of the gravitational force exerted by one small object on another, `M` and `m` are the masses of the objects, and `r` is a distance. Force has the SI units `kg\cdotm//s^2`. What are the SI units of the proportionality constant G?
`G = m^3 / (kg • s^2)`
`F = (GMm)/ (r^2)`
`G = (Fr^2)/(Mm)`
`G = ((kg•m/s^2)(m^2)) /(kg•kg) `
`G = (kg•m•m^2)/(kg•kg•s^2)`
`G = (m^3)/(kg•s^2)`
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