Question

Two objects attract each other with a gravitational force of 25 newtons from a given distance. If the distance between the two objects is reduced by a factor of 5, what is the changed force of attraction between them?

Answer 1

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Step-by-step explanation:

Answer 2

• The changed force of attraction between the two objects is 625 N.

Step-by-step explanation:

The universal law of attraction states that the gravitational attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

The mathematical expression is:

• F = G m₁ m₂ / d², where

• G is the gravitational constant,
• m₁ and m₂ are the respctive masses of the two objects, and
• d = distance between the two objects.

Then, if the masses m₁ and m₂ remain unchanged and the distance (on the denominator) is reduced by a factor of 5, the 1/d² = 1/(1/5)² = 5² = 25, which means that the force will be multiplied by 25.

So, 25 N × 25 = 625 N which is the changed force of attraction between them.