The gravitational force between two object is 100 N . How should the distance between these object be changed so that the force between them become 50 N
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The gravitational force of attraction between two objects is given the formula;
F=[G*M*m]/d²
100=[G*M*m]/d²
Let this be equation (1)
When the distance between two bodies is 100 N then the objects should be in √(2) distance of original distance.
F'=[G*M*m]/ (√(2)d)²
F'=[G*M*m]/2*d²
F'=[G*M*m]/(d²)*1/2
From equation (1) [G*M*M]/d² =100
F'=1/2* 100
F'= 50 N
Answered by
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Answer:
F'= 50 N
Explanation:
The gravitational force of attraction between two objects is given the formula;
F=[G*M*m]/d²
100=[G*M*m]/d²
Let this be equation (1)
When the distance between two bodies is 100 N then the objects should be in √(2) distance of original distance.
F'=[G*M*m]/ (√(2)d)²
F'=[G*M*m]/2*d²
F'=[G*M*m]/(d²)*1/2
From equation (1) [G*M*M]/d² =100
F'=1/2* 100
F'= 50 N
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