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If the distance between two masses is doubled, what happens to the gravitational
If the distance between two masses is doubled, what happens to the gravitational force between them? (2020)
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Practice Questions
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If the distance between two masses is doubled, what happens to the gravitational force between them? (2020)
It doubles
It halves
It becomes one-fourth
It becomes four times
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According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.
Questions & Step-by-step Solutions
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Q
Q: If the distance between two masses is doubled, what happens to the gravitational force between them? (2020)
Solution:
According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.
Steps: 6
Show Steps
Step 1: Understand that gravitational force depends on the distance between two masses.
Step 2: Recall the inverse square law, which states that gravitational force decreases with the square of the distance.
Step 3: If the distance between the two masses is doubled, we write this as 2 times the original distance.
Step 4: Calculate the square of the new distance: (2^2) = 4.
Step 5: According to the inverse square law, the new gravitational force is the original force divided by 4.
Step 6: Therefore, the new gravitational force is 1/4 of the original gravitational force.
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