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Introduction to Physical Science Monday, Wednesday, Thursday Tom Burbine tomburbine@astro.umass.edu
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Energy Energy is the property of a system that enables it to do work
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Work Work = Force x Distance
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To do work You need to move something
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Energy units In English Units, we use calories to measure energy In science (and in this class), we will use joules to measure energy 1 Joule = 1 kg * m 2 /s 2
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Joule One joule is defined as the amount of work done by a force of one Newton moving an object through a distance of one meter
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Calories The small calorie approximates the energy needed to increase the temperature of 1 gram of water by 1 °C. This is about 4.2 joules. The large calorie or food calorie approximates the energy needed to increase the temperature of 1 kilogram of water by 1 °C. This is exactly 1000 small calories or about 4.2 kilojoules.
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Potential Energy Stored Energy that has potential to do work –Compressed Spring –Drawn bow –Coal –Water in an elevated reservoir
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Gravitational Potential Energy PE = weight x height PE = mgh –where m is the mass, g is the gravittaional acceleration, and h is the height
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Kinetic energy Kinetic energy = ½ mv 2 m is mass in kg v is velocity in meters/s Fd = ½ mv 2 Remember: a joule has units of kg * m 2 /s 2
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How much kinetic energy does a 2 kg rock have if it is thrown at 20 m/s? Kinetic energy = ½ mv 2 A) 200 J B) 400 J C) 40 J D) 800 J
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Answer KE = ½ * 2 * (20) *(20) = 400 joules
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Work-Energy Theorem Work is change in kinetic energy Work = ∆KE
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As the kinetic energy of a system increases, its potential energy decreases by the same amount, and vice versa
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The change in potential energy is always equal to the change in kinetic energy (assuming there are no other energy losses). Δmgh = Δ½mv 2
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Kinetic Energy and Momentum Kinetic energy and momentum are properties of moving things Momentum is a vector and capable of being cancelled Kinetic energy is scalar and can not be cancelled Momentum depends on the velocity and kinetic energy depends on the velocity squared
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Scalars and Vectors
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Conservation of Energy Energy is neither created or destroyed – it just changes forms Conservation of Energy –The energy in a closed system may change form, but the total amount of energy does not change as a result of any process.
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Types of collisions Elastic collision – all the momentum is transferred to another object during a collision Inelastic collision – Colliding objects become entangled
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Momentum and Kinetic Energy Momentum is conserved in elastic and inelastic collisions Kinetic energy is only conserved in elastic conditions Energy is always conserved http://en.wikipedia.org/wiki/Elastic_collision
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Inelastic Collisions Reduction of kinetic energy Some of the kinetic energy is turned into another form of energy (e.g., thermal energy, sound) http://www.physicsclassroom.com/mmedia/momen tum/cthoi.cfmhttp://www.physicsclassroom.com/mmedia/momen tum/cthoi.cfm
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Power Power = work done/time interval Units are Watts (Joules/seconds)
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Any Questions?
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