Answer :
The number of paperclips the magnet will pick when held at 15 cm away is 2 paperclips
Assumption
- Let p represent the paper clips
- Let d represent the distance
Thus, as the distance increase, the amount of paper clips the magnet will pick will reduce. This is illustrated below
p ∝ 1 / d
p = K / d
Cross multiply
pd = constant
p₁d₁ = p₂d₂
How to determine the final paper clip picked up
- Initial paper (p₁) = 3
- Initial distance (d₁) = 10 cm
- Final distance (d₂) = 15 cm
- Final paper (p₂) =?
p₁d₁ = p₂d₂
3 × 10 = p₂ × 15
30 = p₂ × 15
Divide both side by 15
p₂ = 30 / 15
p₂ = 2
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