OCR Further Mechanics AS 2022 June — Question 4

Exam BoardOCR
ModuleFurther Mechanics AS (Further Mechanics AS)
Year2022
SessionJune
TopicWork, energy and Power 1

4 A cyclist is riding a bicycle along a straight road which is inclined at an angle of \(4 ^ { \circ }\) to the horizontal. The cyclist is working at a constant rate of 250 W . The combined mass of the cyclist and bicycle is 80 kg and the resistance to their motion is a constant 70 N . Determine the maximum constant speed at which the cyclist can ride the bicycle
  • up the hill, and
  • down the hill.