Question

By what percent will the gravitational force between the two bodies be increased if their masses are increased by 50% ?​

Answer 1

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Secondary School Physics 5 points

By what percent will the gravitational force between the two bodies be increased if their masses are increased by 50%

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adikool

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F=Gm1m2/R^2

m1`=m1+(50/100)m1=3m1/2

m2`=m1+(50/100)m2=3m2/2

F`=Gm1`m2`/R^2

F`=G ×(3m1/2)×(3m2/2)/R^2

F`=G ×3/2 ×m1 × 3/2 ×m2\R^2

F`=G×9/4 ×m1×m2/R^2

F`=9/4×(Gm1m2/R^2)

F`=9/4×F

AS F WAS Gm1m2/R^2

so now % increase= change/original ×100

i.e (F`-F)/F×100

so,(9F/4 -F)/F×100

% increase =5F/4/F×100

% increase =5/4 ×100

% increase =125%

Hence if the mass is increased by50% the force of gravitation between the 2 objects will increase by 125%

Answer 2

Answer:

Hey mate here is your answer.//

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Explanation:

F=Gm1m2/R^2,

m1`=m1+(50/100)m1=3m1/2,

m2`=m1+(50/100)m2=3m2/2,

F`=Gm1`m2`/R^2,

F`=G ×(3m1/2)×(3m2/2)/R^2,

F`=G ×3/2 ×m1 × 3/2 ×m2\R^2,

F`=G×9/4 ×m1×m2/R^2,

F`=9/4×(Gm1m2/R^2),

F`=9/4×F,

AS F WAS Gm1m2/R^2,

so now % increase= change/original ×100,

i.e (F`-F)/F×100,

so,(9F/4 -F)/F×100,

% increase =5F/4/F×100,

% increase =5/4 ×100,

% increase =125%.

Hence if the mass is increased by50% the force of gravitation between the 2 objects will increase by 125%.

Hope it helps you.//✔✔✔

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