Question

how do you convert mass in grams to newtons?

Answer 1

first, what are the relationships of the two?

Answer 2

1 gram (g) =0.0098 newtons (N)

Answer 3

\[F = \cdots\]

Answer 4

are you on earth?

Answer 5

grams measure mass
newtons measure force

the quantities have different dimensions

\([m]=[\text {kg}]=[\text M]\)
mass is measured in kilograms and has a base dimension of mass

\[\qquad\qquad [F]=[\text N]=[\text{kg}~\text m~\text s^{-2}]=[\text{M L T}^{-2}]\] force is measured in newtons which have base dimensions of
mass times length divided by time squared


the relationship between them
\[F[\text N]=m[\text{kg}]a[\text m~\text s^{-2}]\]
where \(a\) is acceleration measured in meters per second per second

on earth the Acceleration is due to earths gravitational field
\[a=g\sim9.8 [m~s^{-2}]\]