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Pete can pick up three paperclips when he holds the bar magnet 10cm away from the paperclips. Predict how many he could pick up if he held the bar magnet 15cm away

Respuesta :

Eduard22sly

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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