Edexcel AS Paper 2 2024 June — Question 3

Exam BoardEdexcel
ModuleAS Paper 2 (AS Paper 2)
Year2024
SessionJune
TopicNewton's laws and connected particles

  1. \hspace{0pt} [In this question, \(\mathbf { i }\) and \(\mathbf { j }\) are perpendi cular unit vectors in a horizontal plane]
A particle P is moving on a smooth horizontal surface under the action of two forces.
Given that
  • the mass of P is 2 kg
  • the two forces are \(( 2 \mathbf { i } + 4 \mathbf { j } ) \mathrm { N }\) and \(( \mathbf { i } - 2 \mathbf { j } ) \mathrm { N }\), where C is a constant
  • the magnitude of the acceleration of P is \(\sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
    find the two possible values of C .