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Name: _______________________________ Date: ______________ Hr:__________ Review for Unit 5 Test Use this review as a GUIDE for studying. Remember to study the notes as well as your Work & Power Quiz and Energy Quiz 1. Define the following terms The ability to do work Energy Energy of motion Kinetic Energy Stored energy/energy due to position Potential Energy Force applied over a distance Work Rate at which work is done Power Says energy cannot be created or destroyed, but can Law of Conservation change forms of Energy Change of forms (ex. Mechanical to heat by rubbing Energy hands together) Transformation Movement of energy from one object to another (ex. Energy Transfer Convection, conduction, radiation) 1 2. List the equations and units for the following Equation(s) Unit(s) Joule = J (N-m) Work W=Fxd F = force (N), d = distance (m) P = W/t W = Work (J), t = time (s) Watt = W (J/s) Power KE = ½ m v2 m = mass (kg), v = velocity (m/s) J (N-m) Kinetic Energy PE = mgh or wh Potential Energy m = mass (kg), g = 9.8 m/s2, h = height (m), (2 equations!) w = weight (N) Velocity (using KE) V = √(2KE/m) KE = Kinetic Energy (J), m = mass (kg) J (N-m) Meters/Second = m/s 3. Identify the relationship between the following as being inversely or directly proportional. Proportional (Circle One) Inversely Directly Work and Force Work and Distance Power and Work Power and Distance Power and Force Power and Time PE and Mass PE and Height KE and Mass KE and Speed Inversely Directly Inversely Directly Inversely Directly Inversely Directly Inversely Directly Inversely Directly Inversely Directly Inversely Directly Inversely Directly 4. Give at least one example of one object that has each of the following types of energy Object(s) Electrical Toaster, TV, etc (anything that plugs in) Mechanical Motion energy (Fan, Ball at top of hill) Mostly associated w/ potential & kinetic 2 Chemical Battery, food, etc Solar Sun Light Light bulb, TV, Computer, Toaster, etc Sound Stereo, TV, etc Nuclear Nuclear power plant Elastic Rubber band, springs, etc 5. Give at least one example of an object that has the following energy transformations. Object(s) Electrical to Mechanical Fan Mechanical to Electrical Windmill Electrical to Heat Toaster, hair dryer, etc Chemical to Light Glow Stick, Glow Necklace Chemical to Electrical Flashlight Electrical to Sound Radio, TV Solar to Electrical Elastic (Potential) to Kinetic Solar Panels Jack in the Box 3 5. 100 J of energy is put into a system. 68 J comes out of the system as mechanical energy. How much was “lost” to heat energy? 32 J (Law of conservation of energy- cannot lose or destroy energy, what goes in must come out) 6. As an object falls, what happens to the potential energy? Kinetic energy? PE decreases (height decreases), KE increases (velocity/speed increases) 7. If you push on a wall and it doesn’t move, you are not doing work on the wall. Why? No distance covered 8. What has to be true about force and distance in order for work to be done? Must be in the same direction 9. Does KE depend more on speed or mass? Why? Speed- b/c in the equation you use velocity squared 10. Calculate the work and power when lifting a 50 kg bag to a height of 5 m in a time of 2 seconds. W = F x d = 490 N x 5 m = 2450 J 50 g x 9.8 m/s/s P = W/t = 2450 J/ 2 s = 1225 W = 490 N 11. If a father lifts his child 2.3 m into the air and exerts a force of 210 N, what is the work done by the dad? W = F x d = 210 N x 2.3 m = 483 J 12. The dad lifts the child (#16) in 4 seconds. What is his power? P = W/t = 483 J/4s = 120.75 W 4 13. If the dad lifted the child in half the time, how would the new power compare to the original? What about if he lifted the child in twice the amount of time? (Hint: say if the power increases or decreases and also by how much!) Half the time: Power would increase by factor of 2 (inversely proportional) Double the time: Power would decrease by factor of 2 14. A moving car has kinetic energy. If it speeds up until it is going 3 times the original speed, how much kinetic energy does it have compared to the original? Since KE = ½ mv2, KE is directly proportional to v2, which means KE would increase by factor of 9. 15. A dog is traveling at 3 m/s. If the mass of the dog is 30 kg, what is the KE of the dog? KE = ½ mv2 = ½ (30 kg)(3 m/s)2 = 135 J 16. What is the potential energy of a 120 lbs skier at the top of a 400 m mountain? PE = mgh = 54.55 kg x 9.8 m/s2 x 400 m = 213,818 J Mass = 120 lbs x 1 kg = 54.55 kg 2.2 lbs 17. What is the mass (kg) of an object that has a potential energy of 25.5 J at a height of 2.4 ft? m = PE = 25.5 J = 3.56 kg gh (9.8m/s2 x 0.732 m) h = 2.4 ft x 1 m = 0.732 m 3.28 m 18. A cheetah has an average weight of 110 lbs and an average kinetic energy of 7998 J. What is the average speed of a cheetah? v = √(2KE/m) = √(2 x 7998 J / 50 kg) = 17.89 m/s m = 110 lbs x 1 kg 2.2 lbs = 50 kg 5 19. A constant force of 240 N is exerted on a box to move it across the floor. If 1800 J of work is done on the box, how far did the box move? d = W/F = 1800 J / 240 N = 7.5 m 6