A force 3-2-N displaces an object through a distance 2-3-m- The work done is -

The correct option is D ZeroGiven nbsp; F⃗ = 3i⃗ +2 j⃗ r⃗ = 2i⃗ 3 j⃗ The work done on the particle is a scalar product of F and r, hence W = F. ...

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Standard XII

Mathematics

Applications of Dot Product

A force 3î+...

Question

A force $(3^i + 2^j) N$ displaces an object through a distance $(2^i - 3^j) m$ . The work done is :

Zero

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Solution

The correct option is D Zero
Given
$\to F = 3 \to i + 2 \to j$
$\to r = 2 \to i - 3 \to j$
The work done on the particle is a scalar product of F and r, hence
$W = F . r$
$W = (3 \to i + 2 \to j) . (2 \to i - 3 \to j)$
$W = 6 - 6 = 0 J$

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A force (3^i+2^j)N displaces an object through a distance (2^i−3^j)m. The work done is :

The correct option is D ZeroGiven →F=3→i+2→j→r=2→i−3→jThe work done on the particle is a scalar product of F and r, henceW=F.rW=(3→i+2→j).(2→i−3→j)W=6−6=0J

A force $(3^i + 2^j) N$ displaces an object through a distance $(2^i - 3^j) m$ . The work done is :

The correct option is D Zero
Given
$\to F = 3 \to i + 2 \to j$
$\to r = 2 \to i - 3 \to j$
The work done on the particle is a scalar product of F and r, hence
$W = F . r$
$W = (3 \to i + 2 \to j) . (2 \to i - 3 \to j)$
$W = 6 - 6 = 0 J$