Write the dimensional formula of frac{k}{m},w | vedclass

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Question

(A) The spring force is given by $F = -kx$,where $k$ is the spring constant and $x$ is the displacement.Therefore,the dimensions of $k$ are $[k] = [F/

Vedclass · Accepted Answer

$[M^0 L^0 T^{-2}]$

Vedclass · Answer

(A) The spring force is given by $F = -kx$,where $k$ is the spring constant and $x$ is the displacement.Therefore,the dimensions of $k$ are $[k] = [F/x] = [MLT^{-2}] / [L] = [MT^{-2}]$.The dimensions of mass $m$ are $[m] = [M]$.Thus,the dimensional formula of $\frac{k}{m}$ is $[k/m] = [MT^{-2}] / [M] = [T^{-2}] = [M^0 L^0 T^{-2}]$.

Write the dimensional formula of $\frac{k}{m}$,where $k$ is the spring constant and $m$ is the mass.

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