## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

(a) The magnitude of the gravitational force of attraction that each ball exerts on the other is $6.67\times 10^{-9}~N$. (b) The ratio of this gravitational force to the weight of the 100-gram ball is $6.81\times 10^{-9}$.
(a) We can find the magnitude of the gravitational force of attraction that each ball exerts on the other. $F = \frac{G~M_1~M_2}{R^2}$ $F = \frac{(6.67\times 10^{-11}~m^3/kg~s^2)(10~kg)(0.10~kg)}{(0.10~m)^2}$ $F = 6.67\times 10^{-9}~N$ The magnitude of the gravitational force of attraction that each ball exerts on the other is $6.67\times 10^{-9}~N$ (b) We can find the ratio of this gravitational force to the weight of the 100-gram ball. $\frac{F}{M_2~g} = \frac{6.67\times 10^{-9}~N}{(0.10~kg)(9.80~m/s^2)} = 6.81\times 10^{-9}$ The ratio of this gravitational force to the weight of the 100-gram ball is $6.81\times 10^{-9}$.