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F = kx. Find k.

1. k = F/v
2. k = [kgms⁻²/ms⁻¹]
3. k = [kgms⁻²]
4. k = [ms⁻¹]

Correct answer: k = [kgms⁻²]

Solution

From the equation F = kx, k = F/x. The unit of force (F) is [kg·m·s⁻²] and the unit of displacement (x) is [m]. Dividing these gives the unit of k as [kg·s⁻²].

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