A body is constrained to move in the y-direction- It is subjected to a force -2- -15- - 6k- Newton- The work done by this force in moving the body through a distance of 10 m in positive y-direction is-

The correct option is C 150 JAccording to the question,Vector #160;Force #160; F= 2i + 15j + 6k Newtons,where the i, j, k are the unit of the ve ...

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Standard XII

Physics

Multiplication with Vectors

A body is con...

Question

A body is constrained to move in the y-direction. It is subjected to a force $(- 2^i + 15^j + 6^k)$ Newton. The work done by this force in moving the body through a distance of 10 m in positive y-direction is:

150 J

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60 J

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-20 J

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- 150 J

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Solution

The correct option is C 150 J
According to the question,
Vector Force $F = 2 i + 15 j + 6 k$ Newtons,
where the $i, j, k$ are the unit of the vector along axes.
Where,
$s =$ displacement
$= 10 j$ meters
Work done $(W) = F . s$
$= (2 i + 15 j + 6 k) .10 j$
$= 20 i . j + 150 j . j + 60 k . j$
$= 150 j$

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A body is constrained to move in the y-direction. It is subjected to a force (−2^i+15^j+6^k) Newton. The work done by this force in moving the body through a distance of 10 m in positive y-direction is:

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