Consider the equation \( \frac{\mathrm{d}}{\mathrm{dt}}\left[\int \overrightarrow{\mathrm{F}} \c...
Consider the equation \( \frac{\mathrm{d}}{\mathrm{dt}}\left[\int \overrightarrow{\mathrm{F}} \cdot \mathrm{d} \overrightarrow{\mathrm{s}}\right]=\mathrm{A}[\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{P}}] \). Then dimension of A will be (where \( \overrightarrow{\mathrm{F}} \equiv \) force, \( \mathrm{d} \overrightarrow{\mathrm{s}} \equiv \) small displacement, \( \mathrm{t} \equiv \) time and \( \overrightarrow{\mathrm{P}} \equiv \) linear momentum).
(1) \( \mathrm{M}^{\circ} \mathrm{L}^{\circ} \mathrm{T}^{\circ} \)
(2) \( M^{1} L^{\circ} T^{\circ} \)
(3) \( \mathrm{M}^{-1} \mathrm{~L}^{\circ} \mathrm{T}^{\circ} \)
(4) \( \mathrm{M}^{\circ} \mathrm{L}^{\circ} \mathrm{T}^{-1} \)
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