Question

Suppose that two objects attract each other with a gravitational force of 50N. If the mass

Answer 1

Answer:

F' = 112.5 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 = 50 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 tripled and the distance between them is doubled:

m₁' = 3m₁

m₂' = 3m₂

r' = 2r

Hence, the new force will be:

$F' = \frac{G(3m_{1})(3m_{2})}{(2r)^2}\\\\F' = \frac{9}{4}\frac{Gm_{1}m_{2}}{r^2}$

using equation (1), we get:

F' = 2.25 F = 2.25(50 N)

F' = 112.5 N