Question

Two uniform spheres, each of mass 0.260 𝑘𝑔, are fixed at points 𝐴 and 𝐵 (Figure 89). Find the magnitude and direction of the initial acceleration of a uniform sphere with mass 0.010 𝑘𝑔 if released from rest at point 𝑃 and acted on only by forces of gravitational attraction of the spheres at 𝐴 and 𝐵.

Answer 1

$$a=2(6.67\cdot10^{-11})\frac{0.26}{0.06^2+0.08^2}\frac{0.06}{\sqrt{0.06^2+0.08^2}}\\a=2.08\cdot10^{-9}\frac{m}{s^2}$$

Downwards.