Work, Power and Energy “I can” Statements Work and Work Energy Theorem 1. I can calculate the work done by a specified constant force on an object that undergoes a specified displacement. W= Fd 2. I can calculate the kinetic energy of one or more moving objects of specified mass and speed. KE= ½ mv2 3. I can calculate the change in kinetic energy (or speed) that results from performing a specified amount of work on an object or vice versa. W= ΔKE W= ½ m (vf2 – vi2) 4. I can use the work-energy theorem to determine the force that is required to bring an object to rest in a specified distance. W= ΔKE Fd= KEf - KEi OR Fd = ½ m (vf2 – vi2) 5. I can interpret a force vs. displacement graph and use it to calculate the work done. W= area of a rectangle = length x width = Fd OR W= area of a triangle= ½ Fd Power 6. I can calculate the work performed by a force that supplies constant power. P= W/t OR E= Pt 7. I can calculate the average power supplied by a force that performs a specified amount of work. P= W/t OR P= Fd/ t OR P = (mg)d/t Springs 8. I can solve for the force exerted by a spring that obeys Hooke’s law. F= -kx 9. I can use a force vs. displacement graph to determine the spring constant of a spring that obeys Hooke’s Law. slope of F vs. x graph is (k) Potential Energy 10.I can solve for the potential energy of a stretched or compressed spring that obeys Hooke’s Law. PEe= ½ kx2 11.I can calculate the potential energy of one or more objects that are close to the surface of the Earth. PEg= mgh Law of Conservation of Energy 12.I can identify situations in which the law of conservation of energy can be applied. KEi + PEi = KEf + PEf 13.I can apply conservation of energy in analyzing the motion of objects that move under the influence of springs. PEe= KE = PEg 14.I can apply conservation of energy in analyzing the motion of objects that move under the influence of the gravitational force. KE = PEg 15.I can analyze situations in which an object’s mechanical energy is changed by friction. KE ≠ PEg PEg= KE + Heat (friction) TEKS: (6) Science concepts. The student knows that changes occur within a physical system and applies the laws of conservation of energy and momentum. The student is expected to: (A) investigate and calculate quantities using the work-energy theorem in various situations; W= ΔKE W= Fd (B) investigate examples of kinetic and potential energy and their transformations; KE= ½ mv2 PEg= mgh ME= KE + PE PEe= ½ kx2 (C) calculate the mechanical energy of, power generated within, impulse applied to, and momentum of a physical system; P= W/t E= Pt (D) demonstrate and apply the laws of conservation of energy KEi + PEi = KEf + PEf