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Newton's second law in a straight lineEdexcel A-Level Maths: Mind map

The law
Scalar problems

Newton's second law

straight-line motion

F = maresultantsuvat
With suvat
Vector form
Exam tips

Exam questions on Newton's second law in a straight line

  1. A sledge of mass 4040 kg is pulled from rest along horizontal ground by a horizontal rope. The tension in the rope is 100100 N and the resistance to motion is a constant 2020 N. Model the sledge as a particle.
    Find the distance travelled by the sledge in these 66 s.2 marks
  2. A particle PP of mass 22 kg is acted on by two forces only, F1=(6i−4j)\mathbf{F}_1=(6\mathbf{i}-4\mathbf{j}) N and F2=(2i+8j)\mathbf{F}_2=(2\mathbf{i}+8\mathbf{j}) N, where i\mathbf{i} and j\mathbf{j} are perpendicular unit vectors.
    Find the magnitude of the acceleration of PP.2 marks
  3. A lorry of mass 80008000 kg travels along a straight horizontal road. The resistance to the lorry's motion is a constant 12001200 N. Model the lorry as a particle.
    The driving force of the lorry's engine is 64006400 N. Find the acceleration of the lorry.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).