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 this force in moving the body distance of 10 m along the y -axis is

F ⁡ → = - 2 i ⁡ ^ + 15 j ⁡ ^ + 6 k ^ N ⁡ S ⁡ → = 0 i ⁡ ^ + 10 j ⁡ ^ + 0 k ^ m ⁡ ∴ Work done F ⁡ → · S ⁡ → = - 2 i ⁡ ^ + 15 j ⁡ ^ + 6 k ^ · 0 i ⁡ ^ + 10 j ⁡ ^ + 0 k ^ = 150 J

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PhysicsW.E.P.MiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

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

Options:

Answer:

Solution:

$\vec{F} = - 2 \hat{i} + 15 \hat{j} + 6 \hat{k} N$

$\vec{S} = 0 \hat{i} + 10 \hat{j} + 0 \hat{k} m$

∴ Work done

$\vec{F} \cdot \vec{S} = (- 2 \hat{i} + 15 \hat{j} + 6 \hat{k}) \cdot (0 \hat{i} + 10 \hat{j} + 0 \hat{k}) = 150 J$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:W.E.P.Subtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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