OCR M3 2010 June — Question 6

Exam BoardOCR
ModuleM3 (Mechanics 3)
Year2010
SessionJune
TopicWork, energy and Power 2

6 A bungee jumper of weight \(W \mathrm {~N}\) is joined to a fixed point \(O\) by a light elastic rope of natural length 20 m and modulus of elasticity 32000 N . The jumper starts from rest at \(O\) and falls vertically. The jumper is modelled as a particle and air resistance is ignored.
  1. Given that the jumper just reaches a point 25 m below \(O\), find the value of \(W\).
  2. Find the maximum speed reached by the jumper.
  3. Find the maximum value of the deceleration of the jumper during the downward motion.