A body- constrained to move in y-direction- is subjected to a force given by F- - - 2 - - 15 - - 6 k- N- The work done by the force in moving the body through a distance of 10 j- m along y-axis is

The correct option is A 150J We know, W=∫ F.ds W=F.∫_0^10j ds W=( 2i+15j+6k).(10j)=150 Joule Option A is the correct answer ...

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Standard XII

Physics

Multiplication with Vectors

A body, const...

Question

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

150 J

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190 J

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160 J

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Solution

The correct option is A $150 J$
We know,

$W = \int F . d s$

$W = F . \int_{0}^{10 j} d s$

$W = (- 2 i + 15 j + 6 k) . (10 j) = 150 J o u l e$

Option $A$ is the correct answer

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Similar questions

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

The correct option is A 150JWe know,W=∫F.dsW=F.∫10j0dsW=(−2i+15j+6k).(10j)=150 JouleOption A is the correct answer

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

The correct option is A $150 J$
We know,

$W = \int F . d s$

$W = F . \int_{0}^{10 j} d s$

$W = (- 2 i + 15 j + 6 k) . (10 j) = 150 J o u l e$

Option $A$ is the correct answer