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2 years ago

Two spheres have a gravitational force between

Physics

1 answer:

luda_lava [24]2 years ago

8 0

Answer:

<em>The new force is 2.8125 N</em>

Explanation:

<u>Newton’s Law of Universal Gravitation </u>

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.

$\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}$

Where:

m1 = mass of object 1

m2 = mass of object 2

r = distance between the objects' center of masses

G = gravitational constant: 6.67\cdot 10^{-11}~Nw*m^2/Kg^2

Suppose two spheres have a gravitational force between them of F = 45 N. Now increase the distance to r'=4r. The new force F' is:

$\displaystyle F'=G{\frac {m_{1}m_{2}}{(4r)^{2}}}$

$\displaystyle F'=G{\frac {m_{1}m_{2}}{16r^{2}}}$

$\displaystyle F'=\frac{1}{16}\ G{\frac {m_{1}m_{2}}{r^{2}}}$

Substituting the original value of the force:

$\displaystyle F'=\frac{1}{16}\ 45 N$

F' = 2.8125 N

The new force is 2.8125 N

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3 years ago

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3 years ago

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notsponge [240]

Answer:

The acceleration of the mass is 2 meters per square second.

Explanation:

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