Conservation of Mechanical Energy The Law of Conservation of Energy The sum of the kinetic energy and the potential energy of the objects in a system is the systems mechanical energy ME ID: 1017561
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1. Conservation of Energy
2. In a closed, isolated system, energy can neither be created nor destroyed; rather, energy is conserved.Conservation of Mechanical Energy
3. The Law of Conservation of EnergyThe sum of the kinetic energy and the potential energy of the objects in a system is the system’s mechanical energy (ME).Kinetic energy includes both the translational and rotational kinetic energies.Potential energy includes the gravitational and elastic potential energies.
4. The Law of Conservation of EnergyIn some situations, mechanical energy is conserved. In others, some of the mechanical energy is transformed into other forms, such as thermal energy.
5. The Law of Conservation of EnergyConservation of Mechanical Energy
6. The Law of Conservation of EnergyRoller Coasters
7. The Law of Conservation of EnergySkiing
8. The Law of Conservation of EnergyPendulums
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11. If a stone is dropped from a height of 3.0m, what is the stone’s speed when it has fallen to 1.0m?Ex. 1
12. A roller coaster car starts at the top of a 40m high hill a) find the speed of the car at the bottom of the hill b) at what height will it have half of this speed?Ex. 2
13. What is the kinetic energy and speed required for a 70kg pole vaulter to just pass over a 5.0m high bar? The vaulter’s center of mass is .90m off the ground.Ex. 3
14. A dart gun of .100kg is pressed against the spring of a toy dart gun. The spring (k = 250 N/m) is compressed 6.0cm and released. What speed does the dart acquire?Ex. 5