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Warm Up. Calculate the work done by a 1.5 x 10 6 kg train that accelerates from 3 m/s to 5 m/s in 10 seconds over a distance of 1000 meters. Calculate the work done by a running 45 kg boy who accelerates from 4 m/s to 6 m/s in 5 seconds over a distance of 40 meters.
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Warm Up • Calculate the work done by a 1.5 x 106kg train that accelerates from 3 m/s to 5 m/s in 10 seconds over a distance of 1000 meters. • Calculate the work done by a running 45 kg boy who accelerates from 4 m/s to 6 m/sin 5 seconds over a distance of 40 meters. *get your journal for notes*
Elastic potential energy is the energy stored in elastic materials as the result of their stretching or compressing.
Elastic potential energy can be stored in • rubber bands • bungee cords • trampolines • springs • an arrow drawn into a bow, etc.
http://www.youtube.com/watch?v=zG22qQydPVQ • http://www.youtube.com/watch?v=mr38OKsXbVo&feature=related • http://www.youtube.com/watch?v=RuGRNKezSWg
Equation – Hooke’s Law • Fspring = (k)(x) which can also be written as (Fspring/x) = k • Fspring is the force of the spring (Newtons) • k is the spring constant (measured in Newtons/meter) • x is the amount of compression of the spring (in meters)
Examples • Calculate the spring constant of a spring that exerts a force of 20 N when compressed .01 m. • Calculate the Force exerted by a spring that has a spring constant of 4 N/m and the spring is compressed .08 m.
Equation • PEspring= ½ (k)(x2) • Where k is the spring constant in (N/m) • Where x is the amount of stretch or compression of a spring (m) • Where PEspring is potential energy of the spring in (Joules)
Examples • Calculate the potential energy of a spring that has a spring constant of 4 N/m and is compressed .04 m. • Calculate the potential energy of a spring that has a spring constant of 12 N/m and is compressed .25 m.
Closure • Write a scenario, story, that involves using a spring on an object & that you have to solve for the Potential Energy spring