Question

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

Answer 1

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)

F' = 64 N