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Question: A body constrained to move along y-axis is subjected to a constant force \(\vec { F } = - \hat { i ...

A body constrained to move along y-axis is subjected to a constant force F⃗=−i^+2j^+3k^N\vec { F } = - \hat { i } + 2 \hat { j } + 3 \hat { k } N . The work done by this force in moving the body a distance of 4 m along y-axis is :

A

4 J

B

8 J

C

12 J

D

24 J

Answer

8 J

Explanation

Solution

Here,

As the body moves a distance of 4 m along y-axis,

∴d^=4j^m\therefore \hat { \mathrm { d } } = 4 \hat { \mathrm { j } } \mathrm { m }

Work done by the given force is