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A particle moves under the action of a force $\vec{F} = 20 \hat{i} + 15 \hat{j}$ along a straight line $3 y + α x = 5$ where $α$ is a constant. If the work done by the force is zero. Then the value of $α$ is…..

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Correct option is D

Slope of direction of F→=m1=1520 ---(1)Slope of direction of S→=m2=−α3---(2)∴F→=perpendicular to s→⇒m1m2=−1from (1) and (2) we get α=4

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A particle moves under the action of a force F→=20i^+15j^ along a straight line 3y+αx=5 where α is a constant. If the work done by the force is zero. Then the value of α is…..

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Ready to Test Your Skills?

free study material

A particle moves under the action of a force $\vec{F} = 20 \hat{i} + 15 \hat{j}$ along a straight line $3 y + α x = 5$ where $α$ is a constant. If the work done by the force is zero. Then the value of $α$ is…..