CAIE A-Level Mathematics 4.3.1 Momentum

CAIE A-Level Mathematics 4.3.1 Momentum
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

Practise linear momentum as a vector quantity, using mass and signed velocity to model one-dimensional motion before collisions.

How this is tested

  • form momentum terms mv with signs chosen from the stated direction of motion
  • use given kinetic energy or momentum data to solve for an unknown mass or speed

Question 5(a)

[Maximum number: 3]

When a particle P of mass m kgm \mathrm{~kg} has speed u m s−1u \mathrm{~m} \mathrm{~s}^{-1}, its momentum is 4 Ns and its kinetic energy is 16 J.

Find the value of m and the value of u.