406 Six simple Machines Problems
 
For each machine problem below:
1pt) Diagram and label the machine with appropriate numbers
2pt) Determine the ideal mechanical advantage and the actual mechanical advantage
1pt) Determine the efficiency of the machine

 
    24pts
  1. Lever that is 1.00 meter on one side and 9.00 meters on the other is able to lift a 70.0N weight using only 10.0N.
  2. An incline plane that is 3.00 meters high and 8.00 meters long can raise an 82.0N package using 44.0N of force up the plane.
  3. Design a pulley system that that can lift 100.0N using only 55.0N of force.
  4. A wedge that is 8.00cm wide and 24.0cm long is used to spilt wood apart by using 200.0N of downward force to produce 550.0N of separation force.
  5. A jack with a screw pitch of 0.0400m and a 1.00m long handle is able to raise a 1000.0N car using 20.00N of force.
  6. A 1.00m radius wheel fixed to a 0.100m radius axle is used to raise a 50.00N bucket of water using 10.0N.
     
    For each machine:
    • 1pt) Diagram the machine
    • 2pt) Determine the missing value

     
    18pts
  7. Lever that is 1.00 meter on one side and 9.00 meters on the other is able to lift a 100.0N weight with 97.0% efficiency.
  8. An incline plane that is 4.00 meters high and 12.00 meters long can raise an 800.0N package with 70.0% efficiency.
  9. A tire jack with a screw pitch of 0.0500m and a 1.00m long handle works at 70.0% efficiency. What is the maximum weight of the car that can be lifted using 20.0N of force?
  10. A 1m radius wheel fixed to a 0.200m radius axle functions at 80.0% efficiency. How heavy of a weight could you lift if you use 10.00N of force turning the wheel?
  11. A pulley with a ideal mechanical advantage of 4.00 that lifts a 120.N load with 78.0% efficiency.
  12. What is the amount of applied force needed to split a log with 300.0N of separation force (outward total). If the wedge is 20.0cm long and 6.00cm at the base but only works at 60.0% efficiency?