The centers of two spheres A and B with masses mA = 1 kg and mB = 2 kg are a distance r0 =...

The centers of two spheres A and B with masses mA = 1 kg and mB = 2 kg are a distance r0 = 1 m apart. B is fixed in space, and A is initially at rest. Using Eq. (1.6) on p. 5, which is Newton’s universal law of gravitation, determine the speed with which A impacts B if the radii of the two spheres are rA = 0.05 m and rB = 0.15 m. Assume that the two masses are infinitely far from any other mass so that they are only influenced by their mutual attraction.

Figure P3.15