A $25\mathrm{.}0$ kgkg crate is initially moving with a velocity that has magnitude $4\mathrm{.}20$ m$/$sm$/$s in a direction $37\mathrm{.}0$ west of north.

Part A

How much work must be done on the crate to change its velocity to $6\mathrm{.}00$ m$/$sm$/$s in a direction $63\mathrm{.}0$ south of east?

Express your answer with the appropriate units.

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