PhysicsA body constrained to move in y-direction is subjected to a force given by F→=(−2i^+15j^+6k^)N . The work done by this force in moving the body a distance of 10 m along the y-axis is

A body constrained to move in y-direction is subjected to a force given by $\vec{F} = (- 2 \hat{i} + 15 \hat{j} + 6 \hat{k}) N$ . The work done by this force in moving the body a distance of 10 m along the y-axis is

A
20J
B
150J
C
160J
D
190J

Solution:

Force $\vec{F} = - 2 \hat{i} + 15 \hat{j} + 6 \hat{k} N$

$Displacement \vec{S} = 0 \hat{i} + 10 \hat{j} + 0 \hat{k} m$

$∴ Work done W = \vec{F} \cdot \vec{S}$

$= (- 2 \hat{i} + 15 \hat{l} + 6 \hat{k}) (0 \hat{i} + 10 \hat{j} + 0 \hat{k})$

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