CAIE A-Level Mathematics 4.5.1 Scalar product

CAIE A-Level Mathematics 4.5.1 Scalar product
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

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

How this is tested

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

Question 1(b)

[Maximum number: 2]

A crate is being pushed in a straight line along a horizontal surface by a force of magnitude 25 N inclined at 2020^{\circ} above the horizontal. The crate moves a distance of 12 m in 8 seconds with constant speed.

Find the work done by the 25 N force.