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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Dimensional analysis

What units belong to a restoring coefficient?

A force magnitude follows F = c x², where displacement x is measured in metres. The coefficient c has numerical value 8 in SI units.

What force acts at x = 0.50 m?

Organize the givens & assumptions
  • c = 8 N/m²
  • x = 0.50 m

Use the stated quadratic force-magnitude model over the given displacement range; c has units N/m².

  1. A32 N32\ \mathrm N
  2. B2 N2\ \mathrm N
  3. C4 N4\ \mathrm N
  4. D16 N16\ \mathrm N

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