A body constrained to move in the y direction is subjected to a force given by overset arrow F=(.-2 hati+15 hatj+6 hatk.)N . What is the work done by this force in moving the body through a distance 10m along the y axis?

Question

A body constrained to move in the y direction is subjected to a force given by overset arrow F=(.-2 hati+15 hatj+6 hatk.)N . What is the work done by this force in moving the body through a distance 10m along the y axis? (A) 20 J (B) 150 J (C) 160 J (D) 190 J

Tardigrade Admin · Accepted Answer

Work done along the y -axis is due to force along y -axis which will cause displacement along the y -axis. Therefore, F=15 N and displacement is 10m along y -axis. ⇒ W=15× 10=150J

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

$20 J$

$150 J$

$160 J$

$190 J$

Work done along the $y$ -axis is due to force along $y$ -axis which will cause displacement along the $y$ -axis.
Therefore, $F = 15 N$ and displacement is $10 m$ along $y$ -axis.
$\Rightarrow W = 15 \times 10 = 150 J$

Q. A body constrained to move in the y direction is subjected to a force given by F→=(−2i^+15j^​+6k^)N . What is the work done by this force in moving the body through a distance 10m along the y axis?

20J

150J

160J

190J