Physics

Problem

A block is pulled along the ground by a constant force

\vec{F}=3\mathbf{i}+4\mathbf{j}-2\mathbf{k}

(in newtons) through a displacement

\vec{d}=5\mathbf{i}-\mathbf{j}+2\mathbf{k}

(in metres). a. (i) Compute the work done by the force during this displacement. b. (ii) Identify and justify whether each of the following quantities is a vector or a scalar: force

\vec{F}

, displacement

\vec{d}

and work done

W

. c. (iii) The block is next moved through a second displacement

\vec{d\,'}=-2\mathbf{i}+4\mathbf{j}

m by a new force

\vec{F\,'}=6\mathbf{i}-3\mathbf{j}+\mathbf{k}

N. Without re-deriving formulas, determine the total work done in the two displacements and classify your final answer as vector or scalar with suitable reasoning.

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