160 likes | 312 Views
More Energy. and some example problems. Quick Review. Energy is what causes work to be done Kinetic Energy KE= ½ mv 2 Potential Energy PE=mgh Conservation of Energy Δ KE=- Δ PE. Conservation of Energy if system is not closed .
E N D
More Energy and some example problems
Quick Review • Energy is what causes work to be done • Kinetic Energy • KE= ½ mv2 • Potential Energy • PE=mgh • Conservation of Energy • ΔKE=-ΔPE
Conservation of Energy if system is not closed • Conservation of Energy can be used to solve problem even without a closed system • The energy lost from the system goes into Work
Conservation Forces have energy conserved Gravity Potential Energy ΔPE=-ΔKE Non-Conservative forces have energy turn into Work Friction ΔPE=W=Fdor ΔKE=W=Fd Conservative and non-Conservative forces
Find the Kinetic Energy • A) 50 kg bowling ball with a velocity of 20 m/s • B) A 9.11x10-31 kg electron with a velocity of 3.00x107 m/s • C)A 1 kg ice block with a velocity of 1 m/s
Find the Potential Energy • A) 50 kg bowling ball 20 meters high • B) A 9.11x10-31 kg electron with a height of 155 meters • C)A 1 kg ice block with a height of 5565 m
Spring Potential Energy • PEelastic=½kx2 • k-spring constant • Ex: A block on a vertical spring with a k= 5.00 x 103 N/m and is pushed downward, compressing the spring 0.100 m. What is the potential energy of the spring?
Conservation of Energy Ex: Problems • A) 50 kg bowling ball with a velocity of 20 m/s is thrown into the air. At what height will it stop? • B) 50 kg bowling ball is 20 meters high. What is the velocity just before it hits the ground?
Ex: A block on a vertical spring with a k= 5.00 x 103 N/m and is pushed downward, compressing the spring 0.100 m. If the block has a mass of .25kg: A. What is the potential energy of the spring? • How fast is the block moving when released from the spring? • What is the maximum height reached by the block?
Some energy lost to friction • A 65 kg refrigerator slides down 10. meters along a driveway against a force of friction of 12N. If the refrigerator ends .60 meters below its original starting point what is the final velocity?