A force acts on a particle that moves from the origin to the point (coordinates in metres)

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A force

\vec F = 3\mathbf{i} + 4\mathbf{j} - 5\mathbf{k}\,\text{N}

acts on a particle that moves from the origin

A(0,0,0)

to the point

B(6,-3,2)

(coordinates in metres). Answer the following: (i) Calculate the component of

\vec F

along the displacement

\vec{AB}

. (ii) Find the magnitude of the component of

\vec F

that is perpendicular to

\vec{AB}

. (iii) Determine the work done by the force during the displacement from

A

B