Webpage title: Calculating Acceleration and G for Two Isolated Spheres

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SUMMARY

The discussion focuses on calculating the gravitational acceleration and the gravitational constant G for two isolated spheres with masses m1 = 1.00 g and m2 = 100 kg, positioned 15.0 cm apart. After one minute, the smaller sphere moves 0.534 mm towards the larger sphere. The solution involves applying Newton's law of universal gravitation and the definition of force to determine the acceleration experienced by the smaller sphere due to the gravitational attraction of the larger sphere.

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  • Newton's law of universal gravitation
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  • Understanding of mass units (grams and kilograms)
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Miike012
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Two spheres of masses m1 = 1.00 g and m2 = 1.00 *10^2
kg are isolated from all other bodies and are initially at
rest, with their centers a distance r = 15.0 cm apart. One
minute later, the smaller sphere has moved 0.534 mm
toward the larger sphere. Compute the acceleration and G.

Solution:

No idea where to being.. some hints please?
 
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To start the two masses are so greatly different the problem seems to only want you to consider the small ball as moving. I'd begin by writing down the law of gravity and the definition of a force. With those you can probably find a way to calculate acceleration.
 

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