Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select all that apply which statements are true about g in the equation…

Question

select all that apply
which statements are true about g in the equation?
$f = g\frac{m_1m_2}{d^2}$
□ g is the same value everywhere in the universe.
□ g is the acceleration of gravity.
□ g is a measurement of acceleration.
□ g is essentially a conversion factor.
□ g has the value $6.67×10^{-11}\frac{n\cdot m^2}{kg^2}$.

Explanation:

Brief Explanations

The equation $F = G\frac{m_1m_2}{d^2}$ is Newton's law of universal gravitation. $G$ is the gravitational - constant. It has the same value everywhere in the universe and is a conversion factor that allows us to calculate the gravitational force between two masses. Its value is approximately $6.67\times10^{- 11}\frac{N\cdot m^2}{kg^2}$. The acceleration of gravity $g$ is different from $G$. $G$ is not a measurement of acceleration.

Answer:

  • G is the same value everywhere in the universe.
  • G is essentially a conversion factor.
  • G has the value $6.67\times10^{-11}\frac{N\cdot m^2}{kg^2}$.