Agent Arlene devised the following method of measuring the muzzle velocity of a rifle. She fires a bullet into a $4\mathrm{.}400-$kgkg wooden block resting on a smooth surface, and attached to a spring of spring constant kk $=137\mathrm{.}0$ N$/$mN$/$m $.$ The bullet, whose mass is $7\mathrm{.}900$ gg $,$ remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be $9\mathrm{.}460$ cmcm$.($Figure $1)$

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$1$ of $1$

Part A

What is the speed vv of the bullet?

Express your answer using four significant figures., Agent Arlene devised the following method of measuring the muzzle velocity of a rifle. She fires a bullet into a $\backslash (4\mathrm{.}400-\backslash$mathrm$\{$kg$\}\backslash )$ wooden block resting on a smooth surface, and attached to a spring of spring constant $\backslash ($ k$=137\mathrm{.}0\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash ).$ The bullet, whose mass is $7\mathrm{.}900$ g $,$ remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be $9\mathrm{.}460$ cm $.($Figure $1)$

Part A

What is the speed $\backslash ($ v $\backslash )$ of the bullet?

Express your answer using four significant figures.

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