Kinetic Energy Energy due to motion K = ½ m v2 Unit: Joules

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Presentation transcript:

Kinetic Energy Energy due to motion K = ½ m v2 Unit: Joules K: Kinetic Energy m: mass in kg v: speed in m/s Unit: Joules Can an object have KE if it’s stationary?

Sample problem A 10.0 g bullet has a speed of 1.2 km/s. What is the kinetic energy of the bullet? What is the bullet’s kinetic energy if the speed is halved? What is the bullet’s kinetic energy if the speed is doubled? UNITS! KE = .5(.01)(1200m/s)(1200m/s) = 7,200J KE would be quartered; 1,800J KE would be quadrupled; 28,800J

The Work-Energy Theorem The net work due to all forces equals the change in the kinetic energy of a system. Wnet = DK Wnet: work due to all forces acting on an object DK: change in kinetic energy (Kf – Ki) W = Fd or W = mad

Sample problem An 8.0-g acorn falls from a tree and lands on the ground 10.0 m below with a speed of 11.0 m/s. What would the speed of the acorn have been if there had been no air resistance? Did air resistance do positive, negative or zero work on the acorn? Why? UNITS 14.01m/s Air resistance did negative work – it lessened the total mechanical energy. Prove this with a W=Fdcos.

Sample problem An 8.0-g acorn falls from a tree and lands on the ground 10.0 m below with a speed of 11.0 m/s. How much work was done by air resistance? What was the average force of air resistance? c) .3J d) .03N

Sample Problem .3J Area under the curve How much work is done by the force shown when it acts on an object and pushes it from x = 0.25 m to x = 0.75 m?