8. If the radius doubles, gravitational force would ___________________. If the radius is cut by 1/2, the force would _________________________.
Question
- If the radius doubles, gravitational force would ___________________. If the radius is cut by 1/2, the force would _________________________.
Solution
The gravitational force between two objects is given by the formula:
F = G * (m1 * m2) / r^2
where:
- F is the gravitational force,
- G is the gravitational constant,
- m1 and m2 are the masses of the two objects, and
- r is the distance between the centers of the two objects (which is essentially the radius in this context).
-
If the radius doubles, the gravitational force would decrease by a factor of 4. This is because the radius is squared in the denominator of the formula, so if you double the radius, the denominator becomes 4 times larger, and therefore the overall force becomes 4 times smaller.
-
If the radius is cut by 1/2, the force would increase by a factor of 4. This is because if you halve the radius, the denominator of the formula becomes 4 times smaller, and therefore the overall force becomes 4 times larger.
Similar Questions
If the radius were increased to 40 x its length, what would be the new force? ___________________ x original force.
9. What is the "radius" or the distance between these two objects? (This is the average distance between particles that one would use in calculations of gravitational force.) Calculate the gravitational force between these two objects.
If the distance between two objects decreases to 1/2 of its original distance, then the gravitational force between the two objects will ___________ its original value.[Hint: What happened when Yoda got closer to R2?] Group of answer choicesdecrease to 1/4decrease to 1/2remain the same asincrease by 2xincrease by 4x
What would be the acceleration (m/s2) due to gravity on a planet whose mass is 1/7th the mass of the earth and radius half the radius of the earth (g = 9.8 m/s2)a.4.2b.5.6c.3.4d.4.9
e. As the radius of the circle is doubled, the acceleration is __________________ (one-fourth, one-half, two times, four times) the original value.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.