A particle is acted upon by constant forces and which displace it from a point to the point . The work done in standard units by the forces i s given by:

40 Explanation: Step 1: Find the Total Resultant Force ( ) The total force acting on the particle is the vector sum of the individual forces: Step 2: Find the Displacement Vector ( ) The displacement vector is the difference between the final position vector ( ) and the initial position vector ( ): Step 3: Calculate the Work Done ( ) Work done is the dot product of the resultant force vector and the displacement vector: Correct Answer: (c)

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NIMCET 2007 — Mathematics PYQ

NIMCET | Mathematics | 2007

A particle is acted upon by constant forces $4 \hat{i} + \hat{j} - 3 \hat{k}$ and $3 \hat{i} + \hat{j} - \hat{k}$ which displace it from a point $\hat{i} + 2 \hat{j} + 3 \hat{k}$ to the point $5 \hat{i} + 4 \hat{j} + \hat{k}$ . The work done in standard units by the forces is given by:

NIMCET 2007 — Mathematics PYQ

Choose the correct answer:

Explanation

Step 1: Find the Total Resultant Force ( $F$ )

Step 2: Find the Displacement Vector ( $d$ )

Step 3: Calculate the Work Done ( $W$ )

Correct Answer:

Explanation

Step 1: Find the Total Resultant Force ( $F$ )

Step 2: Find the Displacement Vector ( $d$ )

Step 3: Calculate the Work Done ( $W$ )

Correct Answer:

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