Question

Determine the mass of a person if the gravitational force of attraction between the person and another of mass 42.90 kg is 0.0996381755 N when they are standing 95.32 m apart.

Answer 1

`3.16*10^1^1` kg

Step-by-step explanation:

According to Newton's Law of Universal Gravitation:

`F=G(m_1m_2)/(r^2)\\F=0.0996381755N\\G=6.674*10^-^1^1(Nm^2)/(kg^2)\\m_2=42.90kg\\r=95.32m`

Rewriting to solve for
`m_1`:

`m_1=(F(r)^2)/(G(m_2))\\m_1=((0.0996381755N)(95.32m)^2)/((6.674*10^-11(Nm^2)/(kg^2))(42.90kg))\\m_1=3.16*10^1^1kg`

I believe this is the answer based on the given values, but it is not a logical answer. Is it possible one or more of the values in the question were entered incorrectly?