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1 REGENTS PHYSICS STUDENT NOTES-ENERGY POTENTIAL & KINETIC ENERGY ____________________ is required if you want to do any work. Example: Hammer driving a nail into wood. Energy is a ______________________ quantity. It is measured in __________________. The same unit as ______________. ----------------------------------------------------Energy can be converted into many forms. Example: Geothermal Energy to run a Turbine Nuclear Energy (Radioactive Elements in Rocks) Geothermal Energy (Steam) Work is done through this entire process. 2 ------------------------------------------------------------ POTENTIAL ENERGY (PE) Potential Energy is any energy that has the ___________________ to do work. It is also call energy of _________________________ . Examples : We will look at a few of the above examples in more detail… --------------------------------------------------------- GRAVITATIONAL POTENTIAL ENERGY As an object moves away from the Earth, _____________ is required to move it against the gravitational force. Example: The weights gain _________________________ potential energy. 3 W = PE PE = W = F d PE = mgh (Reference Tables) Base Level – the point that is arbitrarily assigned a potential energy value of zero. Example 1: A ball is lifted from the floor onto the table. The floor is assigned a potential energy value of ________________ . Example 2: A 2.0 kg object is raised a vertical distance of 3.0 m. What is the resulting change in the gravitational potential energy of the object? How much work was done in lifting the object the 3.0 meters? 4 --------------------------------------------------------- ELASTIC POTENTIAL ENERGY Elastic Potential Energy is the energy stored in a ___________________ when it is compressed or stretched. The amount of Elastic Potential Energy is _____________ to the amount of ______________ required to stretch or compress the spring. Example: Bow and Arrow Work required to stretch the bow Bow now has Elastic Potential Energy Hooke’s Law The force required to compress or stretch a spring is NOT constant. The more a spring has been stretched or compressed, the _______________ it is to stretch or compress it further. Hooke’s Law – the _________________ required to keep a spring stretched or compressed at a certain distance (x) in meters. F = kx (Reference Tables) k is known as the SPRING CONSTANT Strong springs will have a _______________ spring constant. A lot of force is required to keep them stretched to a certain distance. 5 Elastic Potential Energy Equation PEs = ½ kx2 The Elastic Potential Energy (PEs ) of the spring is equal to the ______________ done in stretching the spring. The AREA under the graph of the F vs x graph is equal to the Elastic Potential Energy or the ______________ done in stretching the spring. SAMPLE PROBLEMS: 1. Determine the potential energy stored in a spring that has a spring constant of 25 N/m when a force of 2.5 N is applied to it. 2. A spring with a spring constant of 40 N/m is stretched a distance of 0.5 m from its original length. What force is required to keep it stretched this distance? 6 KINETIC ENERGY Kinetic Energy is energy of ________________ objects. Like all forms of Energy, it is a _______________________ quantity. Like all forms of Energy, it is measured in ________________ . The formula for Kinetic Energy is… KE = ½ mv2 (Reference Tables) When you accelerate in your car, you are _____________________ your Kinetic Energy. Chemical Energy of the ___________________ is converted into ___________________ that moves the wheels that is converted into KINETIC ENERGY of the moving car. There has been CHANGE in the KINETIC ENERGY. KE = ½ mvf 2 - ½ mvi 2 SAMPLE PROBLEMS: 1. Find the kinetic energy of a 4 kg object moving at 5 m/s and 10 m/s. What is the CHANGE in kinetic energy? 7 2. How much work has to be done to accelerate a 1200 kg car from rest to a speed of 2 m/s, assuming that there is no friction? 3. A new force of 5.0 N is applied to a 4.0 kg object over a distance of 6.0 m. What is the change in the objects kinetic energy, assuming there is no friction? (a) If the object was moving at 2.0 m/s before the force was applied, what would be the velocity of the object AFTER the force is applied? 8 LAW OF CONSERVATION OF ENERGY “The _______________ amount of energy in a system does __________ change”. This is true for a CLOSED SYSTEM. This means that no ______________ forces or ____________________ work acts on the system. EXAMPLE: 1. An arrow shot vertically upward from a bow. Remember that the above example of the Conservation of Energy must be for a CLOSED SYSTEM. What force would NOT make this a closed system, so that energy would be lost from the system? ____________________________ ! The TOTAL ENERGY of a system must take into account friction. We call the friction involved the ____________________ Energy of the system. The TOTAL ENERGY (Et ) equation is… Et = PE + KE + Q (internal energy) 9 2. The swinging of a Pendulum