Three Identical 50-Kg Balls Are Held at the Corners $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

Three identical 50-kg balls are held at the corners of an equilateral triangle, 30 cm on each side. If one of the balls is released, what is the magnitude of its initial acceleration if the only forces acting on it are the gravitational forces due to the other two masses? $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

A) $3.7 \times 10 ^ { - 8 } \mathrm {~m} / \mathrm { s } ^ { 2 }$
B) $4.2 \times 10 ^ { - 8 } \mathrm {~m} / \mathrm { s } ^ { 2 }$
C) $6.4 \times 10 ^ { - 8 } \mathrm {~m} / \mathrm { s } ^ { 2 }$
D) $2.5 \times 10 ^ { - 8 } \mathrm {~m} / \mathrm { s } ^ { 2 }$
E) $1.9 \times 10 ^ { - 8 } \mathrm {~m} / \mathrm { s } ^ { 2 }$