The unit of the force constant $k$ of a spring is

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N-m

N/m

N-m$^2$

N/m$^2$

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This question was previously asked in

UPSC CDS-1 – 2020

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According to Hooke’s Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F = kx$, where k is the force constant (also known as the spring constant). To find the unit of k, we can rearrange the formula: $k = F/x$. The standard unit of force (F) is Newtons (N), and the standard unit of displacement (x) is meters (m). Therefore, the unit of the force constant k is Newtons per meter (N/m).

– Hooke’s Law: $F = kx$.
– F is force (unit: N).
– x is displacement (unit: m).
– k is the force constant.

The force constant k is a measure of the stiffness of the spring; a higher value of k means the spring is stiffer and requires more force to extend or compress it by a given distance.

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