A force of 20N acts on a body and the body moves through 1m at an angle of $45^{0}$ to the direction of the force.The work done by the force is_____

10 \sqrt{2}

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\frac{10}{\sqrt{2}}

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- 10 \sqrt{2} J

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\frac{- 10}{\sqrt{2}}

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Solution

The correct option is A $10 \sqrt{2}$ J
work done is given by $F . S$
Dot product of force and displacement which means $W = | F | . | S | C o s θ$
means $W = 20 \times 1 \times C o s 45$
$W = 10 \sqrt{2}$ .

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A force of 20N acts on a body and the body moves through 1m at an angle of 450 to the direction of the force.The work done by the force is_____

The correct option is A 10√2 Jwork done is given by F.SDot product of force and displacement which means W=|F|.|S|Cosθmeans W=20×1×Cos45W=10√2.

A force of 20N acts on a body and the body moves through 1m at an angle of $45^{0}$ to the direction of the force.The work done by the force is_____

The correct option is A $10 \sqrt{2}$ J
work done is given by $F . S$
Dot product of force and displacement which means $W = | F | . | S | C o s θ$
means $W = 20 \times 1 \times C o s 45$
$W = 10 \sqrt{2}$ .