Question

10. The force between two objects decreases by 36% when the distance between them is increasedby 4 m. The original distance between them in meter is 1) 4 2) 16 3) 10 4) 12​

Answer 1

Answer:

16cm

Explanation:

Let force between the objects =F

Distance between them =r.

For case II distance, r1=(r+4)

New force, F1=36%, less than F

∴F1=F(1−36100)=64100F

⇒G.m.m(r+4)2=64100G.m.mr2

⇒100r2=64(r+4)2 Take square roots on both sides.

10r=8(r+4)⇒10r=8r+32

⇒(10−8)r=2r=32

r=16cm.