What is the dimensional formula of the spring | vedclass

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Question

(A) The spring force is given by Hooke's Law: $F = -kx$.Here,$F$ is the force,$k$ is the spring constant,and $x$ is the displacement.Rearranging for $

Vedclass · Accepted Answer

$M^1 L^0 T^{-2}$

Vedclass · Answer

(A) The spring force is given by Hooke's Law: $F = -kx$.Here,$F$ is the force,$k$ is the spring constant,and $x$ is the displacement.Rearranging for $k$,we get $k = F/x$.The dimensional formula for force $F$ is $[M^1 L^1 T^{-2}]$.The dimensional formula for displacement $x$ is $[L^1]$.Therefore,the dimensional formula for $k$ is $[M^1 L^1 T^{-2}] / [L^1] = [M^1 L^0 T^{-2}]$.

What is the dimensional formula of the spring constant $k$?

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