According to Newton's Law of Universal Gravitation, the force between to bodies of masses m and M separated by a distance r is:
Where G is the gravitational constant:
![G=6.67*10^(-11)N\frac{m^2}{\operatorname{kg}^2}]()
In all cases, use M=60kg, and replace the values of the second mass m and the distance r accordingly.
A) m=80kg, r=1.4m
![\begin{gathered} F=(6.67*10^(-11)N\frac{m^2}{\operatorname{kg}^2})*\frac{(60\operatorname{kg})(80\operatorname{kg})}{(1.4m)^2} \\ =1.6*10^(-7)N \end{gathered}]()
B) m=130,000kg, r=10m
![\begin{gathered} F=(6.67*10^(-11)N\frac{m^2}{\operatorname{kg}^2})*\frac{(60\operatorname{kg})(130,000\operatorname{kg})}{(10m)^2} \\ =5.2*10^(-6)N \end{gathered}]()
C) m=5.22*10^9kg, r=1000m
![\begin{gathered} F=(6.67*10^(-11)N\frac{m^2}{\operatorname{kg}^2})*\frac{(60\operatorname{kg})(5.22*10^9\operatorname{kg})}{(1000m)^2} \\ =2.1*10^(-5)N \end{gathered}]()
D) m=0.045kg, r=0.95m
![\begin{gathered} F=(6.67*10^(-11)N\frac{m^2}{\operatorname{kg}^2})*\frac{(60\operatorname{kg})(0.045\operatorname{kg})}{(0.95m)^2} \\ =2.0*10^(-10)N \end{gathered}]()