The mass of a ball is four times the mass of another ball. When these balls are separated by a distance of $10 c m$ , the gravitational force between them is $6.67 \times 10^{- 7} N$ . The masses of the two balls are

10 kg, 20 kg

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5 kg, 20 kg

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20 kg, 30 kg

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20 kg, 40 kg

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Solution

The correct option is C 5 kg, 20 kg
$F = 4 G M^{2} / a^{2}$
$M = \sqrt{F \times a^{2} / 4 G}$
$a = 0.1 m$ , $F = 10000 G$
$M = \sqrt{10000 \times 0.01 / 4} = \sqrt{25} = 5 k g$
Masses are $5 k g$ and $20 k g$ .

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Two massive objects of masses 5 kg and 20 kg are separated by a distance of 25 m, then the distance at which no net gravitational force is felt due to these masses, is

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The mass of a ball is four times the mass of another ball. When these balls are separated by a distance of 10cm, the gravitational force between them is 6.67×10−7N . The masses of the two balls are

The correct option is C 5 kg, 20 kgF=4GM2/a2M=√F×a2/4Ga=0.1 m, F=10000G M=√10000×0.01/4=√25=5kgMasses are 5kg and 20kg.

The mass of a ball is four times the mass of another ball. When these balls are separated by a distance of $10 c m$ , the gravitational force between them is $6.67 \times 10^{- 7} N$ . The masses of the two balls are

The correct option is C 5 kg, 20 kg
$F = 4 G M^{2} / a^{2}$
$M = \sqrt{F \times a^{2} / 4 G}$
$a = 0.1 m$ , $F = 10000 G$
$M = \sqrt{10000 \times 0.01 / 4} = \sqrt{25} = 5 k g$
Masses are $5 k g$ and $20 k g$ .