please answer both the question....
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Answers
We know that
Gravitational force is inversely proportional to square of the distance between two bodies
suppose c is the constant (mass of two body and value of G )
At initial
F(G ) = C/r^2
when distance tripled
F`(G) = C/9r^2
Now
F'(G )/F(G)= 1/9
R'(G) = F(G) /9
force become 1/9 time of its initial value (decrease )
We know that gravitational force is directly proportional to mass of the body
Taking C as constant (Distance between two body and gravitational constant)
F(G) = CM1m2
when mass become two times
F`(G) = 2M1m2 C
Now
F`(G) /F(G) = 2
F`(G) =F 2(G)
Conclusion
- when the distance between the two bodies increases gravitational forces decreases by square of the distance between them.
- when there is change in mass of a body then gravitational force increases.
Answer:
for 1 st qs : force decreases by 9 times
for 2nd qs force doubles
Explanation:
a) F=(Gm1m2)/r^2--------------(1)
given r becomes 3r
so new F=(Gm1m2)/9r^2--------(2)
dividing (2) by (1) we get,
new F=F/9
b) F=(Gm1m2)/r^2------------(1)
given m1 becomes 2m1
so new F=(G2m1m2)/r^2----------------------(2)
dividing (1) by (2) we get
new F=2F