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kym02
how do you convert mass in grams to newtons?
first, what are the relationships of the two?
1 gram (g) =0.0098 newtons (N)
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 \[a=g\sim9.8 [m~s^{-2}]\]