CAIE A-Level Mathematics 4.5.1 Scalar product

Practise calculating work done by constant forces when displacement is along, against or at an angle to the line of action.

Exam points

calculate work done from force, displacement and the angle between their directions
find work against friction or resistance after resolving forces on a plane

[Maximum number: 2]

A car of mass 1400 kg is moving on a straight road against a constant force of 1250 N resisting the motion.

The car moves along a horizontal section of the road at a constant speed of $36 \mathrm{~m} \mathrm{~s}^{-1}$ .

Calculate the work done against the resisting force during the first 8 seconds.

[WD = $1250 \times 36 \times 8$ ]
M1
For using Work Done = Force × Distance.
$\mathrm{WD}=360000 \mathrm{~J}$
A1
or 360 kJ

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