Q168 / 200 · Manipal (MET) 2013 · Physics

Due to a force of $(6 \mathbf{i}+2 \mathbf{j}) \mathrm{N}$ the displacement of h

  • Correct answer
    A
    $16 J$
  • B
    $12 J$
  • C
    $8 J$
  • D
    $zero$

Solution

Work done $W=F \times \mathbf{d}$ $\begin{aligned} & =(6 \mathbf{i}+2 \mathbf{j}) \times(3 \mathbf{i}-\mathbf{j}) \\ & =6 \times 3+2 \times-1 \\ & =18-2=16 \mathbf{J} \\ W & =16 \mathbf{J}\end{aligned}$

Hence, the correct answer is option: 'A'.

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