A force F-5i-6j-4k acting on a body- produces displacement S-6i-5k-

Step 1: Given Data and draw diagramForce, F = 5î + 6ĵ + 4k̂Displacement, S = 6î 5k̂Step 2: Find Work done by the forceWork done by the force is,W = F. SW = (5 ...

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Byju's Answer

Standard IX

Physics

Work

A force F=5i+...

Question

A force $\vec{F} = 5 \hat{i} + 6 \hat{j} + 4 \hat{k}$ acting on a body, produces displacement $\vec{S} = 6 \hat{i} - 5 \hat{k}$ . Work done by the force is

$10 u n i t s$

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$18 u n i t s$

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$11 u n i t s$

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$5 u n i t s$

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Solution

The correct option is A
$10 u n i t s$

Step 1: Given Data and draw diagram
Force, $\vec{F} = 5 \hat{i} + 6 \hat{j} + 4 \hat{k}$
Displacement, $\vec{S} = 6 \hat{i} - 5 \hat{k}$
Step 2: Find Work done by the force
Work done by the force is,
$W = \vec{F} . \vec{S}$
$W = (5 \hat{i} + 6 \hat{j} + 4 \hat{k}) . (6 \hat{i} - 5 \hat{k}) W = 30 - 20 W = 10 u n i t s$
Hence, option A is correct.

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A force F→=5i^+6j^+4k^acting on a body, produces displacement S→=6i^-5k^ . Work done by the force is

The correct option is A 10unitsStep 1: Given Data and draw diagramForce, F→=5i^+6j^+4k^Displacement, S→=6i^-5k^Step 2: Find Work done by the forceWork done by the force is,W=F→.S→W=(5i^+6j^+4k^).(6i^-5k^)W=30-20W=10unitsHence, option A is correct.

A force $\vec{F} = 5 \hat{i} + 6 \hat{j} + 4 \hat{k}$ acting on a body, produces displacement $\vec{S} = 6 \hat{i} - 5 \hat{k}$ . Work done by the force is