Units for gravitational constant: [tex]\frac{[N][m^2]}{[kg]^2}[/tex]
Units for electric constant: [tex]\frac{[N][m^2]}{[C]^2}[/tex]
Explanation:
The magnitude of the gravitational force between two objects is given by
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where
:
G is the gravitational constant
[tex]m_1,m_2[/tex] are the masses of the two objects
r is the separation between them
The units for G can be found by re-writing the formula making G the subject:
[tex]G=\frac{Fr^2}{m_1 m_2} = \frac{[N][m^2]}{[kg]^2}[/tex]
Similarly, the magnitude of the electrostatic force between two charged objects is given by
[tex]F=k\frac{q_1 q_2}{r^2}[/tex]
where:
k is the Coulomb's constant
[tex]q_1, q_2[/tex] are the two charges
r is the separation between the two charges
The units for k can be found by re-writing the formula making k the subject:
[tex]k=\frac{Fr^2}{q_1 q_2} = \frac{[N][m^2]}{[C]^2}[/tex]
So, we see that the only difference between the two units is that for the gravitational constant we have [tex]kg^2[/tex] at the denominator, while for the electric constant we have [tex]C^2[/tex] at the denominator.
Learn more about gravitational and electric force:
brainly.com/question/1724648
brainly.com/question/12785992
brainly.com/question/8960054
brainly.com/question/4273177
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