(+15 Bonus, Medium) A cyclist of mass 65 kg (including the bicycle) can coast down a...

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(+15 Bonus, Medium) A cyclist of mass 65 kg (including the bicycle) can coast down a 60 hill at a steady (constant) speed of 6.0 km/h because of air resistance. What force is needed to climb the hill at the same speed and air resistance? (This problem may be very difficult. Hint: try conceptualizing air resistance/drag as a resisting force.) 2. (25 points, Medium) A heavy steel cable of length L and mass M passes over a small massless, frictionless pulley. A length y of the cable hangs on one side of the pulley (so that L-y hangs on the other side). a) (5 points) Draw a free body diagram of the system, showing the forces acting on both cables. b) (15 points) What is the acceleration of the system? c) (5 points) When the cable begins from rest (with length yo) on one side of the pulley, the final velocity at the moment the whole cable has fallen from the pulley is vf = 29yo (1 - 0). What is the final velocity when yo= (2/3)L? (+15 Bonus, Medium) A cyclist of mass 65 kg (including the bicycle) can coast down a 60 hill at a steady (constant) speed of 6.0 km/h because of air resistance. What force is needed to climb the hill at the same speed and air resistance? (This problem may be very difficult. Hint: try conceptualizing air resistance/drag as a resisting force.) 2. (25 points, Medium) A heavy steel cable of length L and mass M passes over a small massless, frictionless pulley. A length y of the cable hangs on one side of the pulley (so that L-y hangs on the other side). a) (5 points) Draw a free body diagram of the system, showing the forces acting on both cables. b) (15 points) What is the acceleration of the system? c) (5 points) When the cable begins from rest (with length yo) on one side of the pulley, the final velocity at the moment the whole cable has fallen from the pulley is vf = 29yo (1 - 0). What is the final velocity when yo= (2/3)L?

Answer rating: 100% (QA)

When the cyclist is coasting down the hill at a constant speed the pressure of gravity pulling the bike owner downhill is balanced with the aid of the ... View the full answer