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Do Now: What is energy? What are the different types of energy? Test Make-Ups? Starting the last part of physics Today! What is energy? Energy is the ability to do work The more energy something has, the more work it can do. Remember… Work = Force x Distance or w=f x d Video Clip Potential and Kinetic Energy Kinetic Energy: Energy of Motion Potential Energy: Energy of Position Kinetic Energy Examples The moving arrow has kinetic energy. The falling water has kinetic energy. Potential Energy Examples The archer pulled back on the arrow which now has potential energy. The water at the top of a waterfall has gravitational potential energy (stored energy due to its height). Elastic potential energy- occurs when an object is stretched or compressed Examples: bow, rubber band, spring Identifying Potential and Kinetic Energy Identifying Potential and Kinetic Energy Kinetic Energy Calculations Kinetic Energy = ½ mass x velocity2 KE= ½ m x v2 or KE = m x v2 2 Units: Joules (1 J = 1 N•m) Example: What is the kinetic energy of a 24 kg ball that is moving with a velocity of 2 m/s? KE= m x v2 2 KE= 24 kg x (2 m/s) 2 2 KE= 48 Joules Kinetic Energy Calculations Example: A 70 kg boulder is rolling down a hill towards you at a velocity of 5 m/s? What is its kinetic energy? KE= m x v2 2 KE= 70 kg x (5 m/s) 2 2 KE= 875 Joules Potential Energy Calculations Potential Energy= weight x height PE= weight x height Units: Joules But…how do we calculate weight?!?!?! Weight= mass x acceleration of gravity (9.8 m/s2) weight= m x agravity agravity=9.8 m/s2 ALWAYS!! Units: kg-m or Newtons s2 Mass vs. Weight Mass is the amount of matter an object contains. An object’s mass is the same everywhere in the universe. The unit is grams or kilograms. Weight is the force of gravity on an object. Your weight on earth is different from your weight on the moon, on Phobos, etc. The unit is Newtons. Potential Energy Calculations Example: What is the potential energy of a 10 kg box being lifted to a height of 2 meters? First…What is the weight of the box? weight= m x agravity agravity=9.8 m/s Now we can calculate the PE… PE = weight x height PE = 98 N x 2 m PE = 196 Joules weight= 10 kg x 9.8 m/s weight = 98 kg m = 98 N s Potential Energy Calculations Example: A rock with a weight of 156 N falls 5 m. What potential energy does it have just before the end of its fall? Sweet! We already have the weight! Now to calculate the PE… PE = weight x height PE = 156 N x 5 m PE = 780 Joules Brain Pop: KE Brian Pop: PE