Quelpr
8 marksWork, Energy and Power

CAPE Applied Mathematics Unit 2 · 2013 · Paper 2 · Question 5(b)

A railway carriage of mass 700 kg ascends an incline of 18^\circ to the horizontal for 30 m, with speed changing from 18\text{ ms}^{-1} to 10\text{ ms}^{-1}.

Calculate the frictional resistance of the railway.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 5(a)(i)Draw a diagram to illustrate this information, and hence draw the coplanar force diagram.[5 marks]
  2. 5(a)(ii)Calculate the tension in the string.[2 marks]
  3. 5(c)(i)Show that t = \frac{1}{k}\ln\left(\frac{10}{10 - kx}\right).[7 marks]
  4. 5(c)(ii)On reaching the top of the 75 m long hill, his velocity has dropped to 4\text{ ms}^{-1}. Find the value of k.[3 marks]

More practice: the rest of this paper · more Work, Energy and Power questions · all CAPE Applied Mathematics Unit 2 past papers