How Does Gravity Affect the Acceleration Between Two People?

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SUMMARY

The gravitational force between a 60 kg girl and a 75 kg man, positioned 50 cm apart, is calculated using Newton's law of universal gravitation, yielding a force of 1.2e-6 N. To determine the man's acceleration towards the girl, Newton's second law (F = ma) is applied, resulting in an acceleration of 1.6e-8 m/s². This calculation demonstrates the relationship between gravitational force and acceleration, emphasizing the impact of mass on movement due to gravitational attraction.

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bigman8424
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how does this look, fun prob., need help on the 2nd part:

wat is the force that a 60 kb girl has on a 75 kg man, when they are 50 cm apart:

f = GM1m2/R2 = F = (6.67e-11)(75)(60)/(.50)^2
= 1.2e-6 N

second part:
how fast will man accelerate towards girl??

same formala?
 
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What's the relationship between the force and the acceleration (assuming constant mass) ?You'll see it's only a simple division.Oh,and that 60Kg girl is fat...

Daniel.
 


To calculate the acceleration, we need to use Newton's second law which states that F = ma, where F is the force, m is the mass, and a is the acceleration. So, using the same formula from before, we can solve for a by rearranging the equation to a = F/m. Plugging in the values from the first part, we get a = (1.2e-6 N)/(75 kg) = 1.6e-8 m/s^2. This means that the man will accelerate towards the girl at a rate of 1.6e-8 meters per second squared.
 

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