the gravitational between the two object is f if mass of both object is half without change the direction between them gravitational force will be became
The gravitational force between two objects is determined by the formula:
\[F = \frac{G * (m1 * m2)}{r^2}\]
Where:
- \(F\) is the gravitational force.
- \(G\) is the gravitational constant (a constant value).
- \(m1\) and \(m2\) are the masses of the two objects.
- \(r\) is the distance between the centers of the two objects.
If both objects have their masses halved without changing the distance between them (\(m1/2\) and \(m2/2\)), the new gravitational force (\(F'\)) can be calculated as follows:
\[F' = \frac{G * ((m1/2) * (m2/2))}{r^2}\]
Simplifying this expression:
\[F' = \frac{G * (m1 * m2) / 4}{r^2}\]
\[F' = \frac{1}{4} * \frac{G * (m1 * m2)}{r^2}\]
So, the new gravitational force \(F'\) is one-fourth (1/4) of the original gravitational force \(F\). In other words, it becomes 1/4 times the original force.
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Answer:
The gravitational force between two objects is determined by the formula:
\[F = \frac{G * (m1 * m2)}{r^2}\]
Where:
- \(F\) is the gravitational force.
- \(G\) is the gravitational constant (a constant value).
- \(m1\) and \(m2\) are the masses of the two objects.
- \(r\) is the distance between the centers of the two objects.
If both objects have their masses halved without changing the distance between them (\(m1/2\) and \(m2/2\)), the new gravitational force (\(F'\)) can be calculated as follows:
\[F' = \frac{G * ((m1/2) * (m2/2))}{r^2}\]
Simplifying this expression:
\[F' = \frac{G * (m1 * m2) / 4}{r^2}\]
\[F' = \frac{1}{4} * \frac{G * (m1 * m2)}{r^2}\]
So, the new gravitational force \(F'\) is one-fourth (1/4) of the original gravitational force \(F\). In other words, it becomes 1/4 times the original force.