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muminat
3 years ago
8

A constant unit force vector makes angle 30 with the positive x - axis. Find the work done by the force in moving the object 13

units in the direction of the positive x - axis. g
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

Step-by-step explanation:

Force, F = 1 unit makes 30° from X axis

displacement, S = 13 units along + X axis

Write the force and the displacement in vector form

\overrightarrow{F}=1\left ( Cos30\widehat{i}+Sin30\widehat{j} \right )

\overrightarrow{F}=0.866\widehat{i}+0.5\widehat{j}

\overrightarrow{S}=13\widehat{i}

Work is defined as the dot product of force and the displacement vector.

W=\overrightarrow{F}.\overrightarrow{S}

W=\left (0.866\widehat{i}+0.5\widehat{j}  \right ) . 13\widehat{i}

W = 11.26 units

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