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Lisa [10]
3 years ago
14

Suppose that two objects attract each other with a gravitational force of 16 N. If the mass

Physics
1 answer:
vivado [14]3 years ago
6 0

Answer:

F' = 64 N

Explanation:  

The force of gravitation between two objects is given by Newton's Law of Gravitation as follows:

F = \frac{Gm_{1}m_{2}}{r^2}\\______________ equation (1)

where,

F = Force = 16 N

G = universal gravitational constant

m₁ = mass of the first object

m₂ = mass of the second object

r = distance between objects

Now, the masses of each object are doubled and the distance between them is same:

m₁' = 2m₁

m₂' = 2m₂

r' = r

Hence, the new force will be:

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

using equation (1), we get:

F' = 4 F = 4(16 N)

<u>F' = 64 N</u>

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