Question

What happens to the force between two objects if
a)mass of an object is double.
b) distance between them is double and triple.
c)the masses of both object are double.​

Answer 1

Explanation:

According newton's law,

F = G m1m2 /r²

Or

F = Eg × m here Eg is gravitational field and m is mass of small object as compared to other

Hence,

(a) force is directly proportional to mass so if mass is double then force became double if gravitational field is constant.

(b) f is inversely proportional to r²

F1 = k/r² - - - - - - 1

F2 = k / (2r)² = k/4r² = f1/4,

F3 = k/(3r)²=k/9r² = F1/ 9

So If distance between them is double then force became one- forth and if distance is triple then force became one-ninth,.

(c) if mass of both is double then force became four times.

Answer 2

Answer:

a) force doubles

b)force is i) decreased by 4 times

ii) decreased by 9 times

c) force is increased by 4 times

Explanation:

F=Gmm'

F=Gmm' r²

a) m--2m

F'=G(2m)m' = 2Gmm'

r² r²

so, F'=2F

therefore, force is doubled

b)

i) r-doubles,.i.e. r'=2r

F'=Gmm' = Gmm' = Gmm'

(r')² (2r)². ⁴×r²

F'=F

2

therefore, force is decreased by 4 times

ii) r-triples, i.e. r"= 3r

F'=Gmm' = Gmm' = Gmm'

(r")² (3r)² 9×r²

F'= F

9

therefore, force is decreased by 9 times

c) m--2m; m'--2m'

F"=G(2m)(2m')

r²

F"= 4×Gmm'

r²

F"=4F

therefore, the force is increased by 4 times