Using Eq. 3.4 show that the acceleration due to gravity is given by:...

Using Eq. 3.4 show that the acceleration due to gravity is given by:

(g on the Earth’s surface)

where M_E is the mass of the Earth and R_E its radius (Fig. 3.13b) Note that g is independent of m, so it is the same for all objects on the surface of the Earth. (If you are adventurous, plug in the values of G, M_E, and R_E from the back cover of the book and see what you get for g.) Why is the value of g less on the surface of the Moon?