Physics, asked by Mprince40, 1 year ago

Calculate the dot product of force and displacement if a force of 10N displaces the body through 4 meters in the direction of force.

Answers

Answered by chiragverma

answer will be 40 because it's asking product of force and displacement.
and force is 40N
and displacement is 4metre.

Mprince40: But he asked a dot product

chiragverma: bro one thing I don't know what is dot product

chiragverma: if you can tell me dot product then I can tell you answer

Mprince40: When the product of two vectors is a scalar quantity then it is called scalar or dot product

Mprince40: In dot product A.B=(megnitude of A) (megnitude of component of B in the direction of A

Answered by JunaidMirza

If i, j and k are unit vectors along x, y and z-axis respectively then,
i · i = j · j = k · k = 1
i · j = i · k = j · k = 0

Given that both force and displacement are in the same direction.
If i is the unit vector along their direction then,
Their dot product = (10N i) · (4m j) = 40 Nm

∴ Dot product of force and displacement is 40 Nm (= 40 Joule)
[Note: If Force and displacement were perpendicular to each other then their dot product would have been zero.]

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