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AP® Physics C: Mechanics

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Work as a Scalar Dot Product

APPHMC-EYZVKN

If a force given by $a \hat i + b \hat j$ acts on an object as the object is displaced by $c \hat i + d \hat j$, the work done on the object is

A

$ac + bd$

B

$ab + cd$

C

$\sqrt{a^{2} + b^{2}} \sqrt{c^{2} + d^{2}}$

D

$abcd \cdot \hat i \cdot \hat j$

E

$\sqrt{abcd} \cdot \hat i \cdot \hat j$