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A very dense 1500-kg point mass (A) and a dense 1200-kg point mass (B) are held in place 1.00 m apart on a frictionless table. A third point mass is placed between the other two at a point that is 20.0 cm from B along the line connecting A and B. When the third mass is suddenly released, find the magnitude and direction (toward A or toward B) of its initial acceleration.

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Answer:

Explanation:

Let m be the third point mass

Force pulling toward A

Fa = Gm(1500)/0.800² = 2343.75Gm

Force pulling toward B

Fb = Gm(1200)/0.200² = 30000Gm

Net force acting on m

30000Gm - 2343.75Gm = 27656.25Gm

a = F/m = 27656.25Gm/m = 27656.25G

a = 27656.25(6.674 x 10⁻¹¹) = 1.8457... x 10⁻⁶ m/s² towards mass B

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