MA & ME Practice Problems OBJECTIVE I can explain the connection between work and energy. I can use formulas correctly to solve for work, power, mechanical advantage, and mechanical efficiency. I can perform basic and multi-step algebraic functions. Mechanical Advantage = Output Force Input Force Mechanical Efficiency = Work Output X 100 Work Input Directions: Solve the following problems. Show all of your work and include the correct units. 1. You apply 200 N to a machine, and the machine applies 2,000 N to an object. What is the mechanical advantage? 2. What is the mechanical advantage of a wheel and axle that uses 50 Newtons of force to move a resistance of 2550 Newtons? a. What machine is being used to make the work easier? 3. Suppose you exert 15 N on a machine, and the machine exerts 300 N on another object. What is the machines mechanical advantage? 4. Which of the following makes work easier? A machine with a mechanical advantage of 15 or a machine to which you apply 15 N and that exerts 255 N? Why? 5. Which of the machines has a greater mechanical advantage? A machine to which you apply a force of 50N and the machine applies a force of 150N? Or the machine to which you apply a force of 60N and the machine applies a force of 200N? Why? 6. Tom uses 20 Newtons of force to move a wooden box with a resistance of 130 Newtons up a ramp. What is the mechanical advantage? a. What machine is Tom using to make the work easier? 7. A fern receives 1055 J of light energy and through photosynthesis, converts it to 8.3 J of energy to use for working plant system processes. What is the efficiency? 8. Your body expends 0.54 J of work to digest a steak with 2.7 J of energy. How efficient is your body at changing that food into energy for you to use? 9. Your toaster is plugged into the counter electrical outlet. If 3.50 J of electrical energy is supplied into the toaster to output 1.5 J of energy to toast your food, what is the efficiency of the toaster? 10. If 360 J of energy are provided to a standard light bulb that emits 18 J of light energy, how efficient is the light bulb? 11. Using a pulley system, a crew does 7,500 J of work to load a box that requires 4,500 J of work. What is the efficiency of the pulley system? BONUS 12. A particular automobile engine is rated to be 27.5% efficient in converting the energy of fuel into useful working energy. If 1 L of gasoline contains 33.5 J of input energy, calculate the useful energy output when 2.50 L of gasoline is consumed.