The distance between the two masses in the previous situation is halved. Determine the gravitational force in this new situation.
Question
The distance between the two masses in the previous situation is halved. Determine the gravitational force in this new situation.
Solution
To answer this question, we need to understand the law of universal gravitation, which states that every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The formula for the gravitational force (F) between two masses (m1 and m2) separated by a distance (r) is:
F = G * (m1 * m2) / r^2
where G is the gravitational constant.
If the distance between the two masses is halved, the new distance is r/2. Substituting this into the formula gives:
F_new = G * (m1 * m2) / (r/2)^2 = G * (m1 * m2) / (r^2/4) = 4 * G * (m1 * m2) / r^2 = 4 * F
So, the gravitational force in the new situation is four times the original force.
Similar Questions
The gravitational force between two objects is F. If masses of both the objectsare halved without altering the distance between them, then the gravitational forcewould becomea. f/4b. f/2c. fd. 2f
The gravitational force between two objects:
Calculate the gravitational force between two objects with masses of 500 kg and 800 kg, respectively, placed 10 meters apart from each other.[9:54 PM]find this
If the distance between two particles is halved, the gravitational force increases by:a.Three timesb.Eight timesc.Four timesd.Two times
Calculate the gravitational force between two objects of masses kilogram and kilogram
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.