Daily Math Challenge

Science Hard Grade 6-8

A spring stretches 8 cm when a 4 N force is applied. How far will it stretch with a 6 N force? (Hooke's Law: F = kx)

Answer
12 cm

How to solve it

1
Find k: 4 = k × 8, k = 0.5 N/cm
2
New stretch: 6 = 0.5 × x, x = 12 cm

Hints

First find the spring constant k

Then use it to find the new stretch

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