two brass balls of masses 2kg and 5kg experiments a force of attraction of 10N when the distance between their centers is doubled. The force of attraction
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Given
Masses = 2 kg & 5 kg
Force of attraction = 10 N
Distance between their centers is being doubled
To Find
The Force of attraction
Solution
☯ GMm/r² = Gravitational Force
The above formula is used to find the Gravitational Force between two bodies of masses M & m
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✭ According to the Question :
➞ g = GMm/r² = 10 N -eq(1)
And,
➞ g' = GMm/(2r)²
➞ g' = GMm/4r² -eq(2)
From eq(1) & eq(2)
➞ N = 10/4
➞ N = 5/2 N
∴ The gravitational force would be 5/2 N
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