A body constrained to move in the nbsp-y - direction is subjected to a force given by F - -2- - 15- - 6k- N- nbsp-What is the work done by this force in moving the body a distance of 10-m of along the y - nbsp-axis-20- J150- J190- J160- J

The correct option is B 150 JF = ( 2î + 15ĵ + 6k̂) N d = 10ĵ m W = F . d = 0 + 150 + 0 = 150 J ...

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Standard XII

Physics

Multiplication with Vectors

A body constr...

Question

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?

20 J

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150 J

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160 J

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190 J

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Solution

The correct option is B $150 J$ .
Given,
Force, $\to F = (- 2^i + 15^j + 6^k) N$
Displacement, $\to s = 10^j m$
We know that,
$W = \to F . \to d$
$W = (- 2^i + 15^j + 6^k) . (10^j) = 0 + 150 + 0$
$W = 150 J$

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A body constrained to move in the y - direction is subjected to a force given by →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?

The correct option is B 150 J.Given,Force, →F=(−2^i+15^j+6^k)NDisplacement, →s=10^j mWe know that, W=→F.→d W=(−2^i+15^j+6^k).(10^j)=0+150+0 W=150 J

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?

The correct option is B $150 J$ .
Given,
Force, $\to F = (- 2^i + 15^j + 6^k) N$
Displacement, $\to s = 10^j m$
We know that,
$W = \to F . \to d$
$W = (- 2^i + 15^j + 6^k) . (10^j) = 0 + 150 + 0$
$W = 150 J$