Question

Suppose that two objects attract
each other with a gravatational
force of 16 units. If the distance
between the two objects is
doubled what is the new force
of attraction between two objects?​

Answer 1

Answer:

The new force of attraction between two objects is 4.

Explanation:

• Distance squared will grow by a factor of 4 if the distance is multiplied by a factor of 2. As a result, the force will be "1/4" of the initial 16 units, according to the inverse square law. As a result, the gravitational force is now 4 units.
• The force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.
• The inverse-square law equation is expressed as
• Where,
• $intensity ∝ 1/distance2 I ∝ (1/d2)$
• D is distance, I is the radiation's intensity.

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Answer 2

Answer:

the new force of attraction between two objects, when the distance

between the two objects is doubled is, 4 units

Explanation:

The gravita tional force between two objects is given by the formula:

F = G * (m1 * m2) / d^2

Where F is the force of attra ction, G is the gravita tional constant, m1 and m2 are the masses of the two objects, and d is the distance between them.

In this case, we know that the force of attraction between the two objects is 16 units. Let's assume that the masses of the objects are 1 unit each for simp licity. So, we can rewrite the formula as:

16 = G * (1 * 1) / d^2

Solving for d, we get:

d = sqrt(G)

Now, if we double the distance between the two objects, the new distance would be 2d. Plugging this new distance into the formula, we get:

F = G * (1 * 1) / (2d)^2

Simplifying this equation, we get:

F = G / 4d^2

Substituting the value of d we found earlier, we get:

F = G / 4(G)

Simplifying this equation, we get:

F = 1 / 4G

So, the new force of attraction between the two objects is 1/4th of the original force, or 4 units. Therefore, doubling the distance between two objects reduces the gravitational force by a factor of 4.

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