AQA Further AS Paper 2 Mechanics 2023 June — Question 5

Exam BoardAQA
ModuleFurther AS Paper 2 Mechanics (Further AS Paper 2 Mechanics)
Year2023
SessionJune
TopicCircular Motion 1

5 J
10 J
20 J 4 Reena is skating on an ice rink, which has a horizontal surface. She follows a circular path of radius 5 metres and centre \(O\)
She completes 10 full revolutions in 1 minute, moving with a constant angular speed of \(\omega\) radians per second. The mass of Reena is 40 kg
4
  1. Find the value of \(\omega\)
    4
    1. Find the magnitude of the horizontal resultant force acting on Reena.
      4
  2. (ii) Show the direction of this horizontal resultant force on the diagram below.
    \includegraphics[max width=\textwidth, alt={}, center]{78120346-4a16-4545-925a-d6fab4b750e9-03_380_442_2017_861} 5 An impulse of \(\left[ \begin{array} { r } - 5
    12 \end{array} \right] \mathrm { N } \mathrm { s }\) is applied to a particle of mass 5 kg which is moving with velocity \(\left[ \begin{array} { l } 6
    2 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\) 5
  3. Calculate the magnitude of the impulse. 5
  4. Find the speed of the particle immediately after the impulse is applied.