Consider rider on a typical bicycle pedalling up a hill. specifically, the case when the cyclist is using their body weight alone to apply the pedalling force. draw a diagram of the situation that you can use to analyse the system and answer the following questions: a)-does the mass of the rider affect the acceleration of the bike (and rider) up the hill? b)-is there an optimum ratio from pedal crank radius to rear wheel (including the chain drive ratio) that will maximise the acceleration? c)-is there a maximum angle that the bike and rider could ride up? d)-how does the angle of the pedal affect the acceleration (if at all)? e)-what coefficient of the friction is needed between the tyre and the wheel to ensure no slipping? for this question ignore the following: frictional losses within the bike . air resistance