Question 2.111MARKSL An exercise machine at a gym has a 5kg mass attached to one end ofa horizontal spring with spring constant 80me. The other end of the spring is anchored to a wall. A woman working out on the machine pushes her arms forward, a cable stretches the spring by dragging the weight along a track with a coeicient of kinetic friction of 0.3. The cable tension is 100N. (a) What is the thermal energy created when the mass has moved 0.5m if the cable tension is 100N? (2 Marks) HINT: Use 1113;\" = fknr (b) What is the external work done by the cable's tension when the mass has moved 0.5m? (2 Marks) (c) What is the speed at which she moves the mass 0.5m if the cable tension is 100N? (4 Marks) Use KEO + U0 + Wext = K31 + U1 +55%}: (d) What is the womans power output at the moment when the mass has moved 0.5m if the cable tension is 100N\"? (3 Marks) sttion 3 15 Marks! The engine in a small plane is specied to have a torque of 150 Nm. This engine drives a 2m Long propeller that has a mass of 40,000 g. M=4U.000! The torq ue from the engine rotates the propeller F2011 Axis (a) Calculate the moment of inertia of the propeller. You can assume it is thin rod rotating about its centre, ML: 1 = . (1 Mark.) 12 (b) Calculate the angular acceleration caused by the 150 Nm torque? (2 Marks) (c) How long does it take the propeller to reach 500mm? (2 Marks)