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- -160-m along y-axis is- 150J- 20J- 190J- 160J-

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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20 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

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

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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

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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

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EXAM PREPARATION

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FREE TEXTBOOK SOLUTIONS

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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