Question

I need to find my weight in newtons using newtons law of gravitym=56 kg

Answer 1

Newton's law of gravity states that the gravitational force between two objects is given by:

`F=G(m_1m_2)/(r^2)`

where G is the gravitational constant, m1 and m2 are the masses of the objects and r is the distance between them.

In this case we would like to calculate your weight, that is, the gravitational force between earth and you. Then we need to use the mass of the earth, and its radius; their values are given as:

`\begin{gathered} M=5.9722*10^(24) \\ r=6.3781*10^6 \end{gathered}`

Plugging our values we have that:

`\begin{gathered} F=6.67*10^(-11)\cdot(56\cdot5.9722*10^(24))/((6.3781*10^6)) \\ F=548.36 \end{gathered}`

Therefore your weight is 548.36 N