From Newton's law of universal gravitation, the attraction force between two masses M and m is given by:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{G}\mathbf{M}\mathbf{m}}{{\mathbf{r}}^{\mathbf{2}}}\hat{\mathbf{r}}}$

Three uniform spheres are fixed at positions shown in the figure.

a) What is the magnitude of the force on a 0.0150-kg particle placed at point **P**?

b) What is the direction of this force?

c) If the spheres are in deep outer space and a 0.0150-kg particle is released from rest 300 m from the origin along a line 45° below the -*x*-axis, what will the particles speed be when it reaches the origin?

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