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Chapter 7

Chapter 7. Work and Kinetic Energy (Continued). Outline. Kinetic energy Work-energy theorem Power Examples. Kinetic Energy. Kinetic energy K: The energy of motion. K = (1/2)mv 2 , where v is the speed. SI units for kinetic energy: joule (J).

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Chapter 7

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  1. Chapter 7 Work and Kinetic Energy (Continued) Dr. Jie Zou PHY 1151G Department of Physics

  2. Outline • Kinetic energy • Work-energy theorem • Power • Examples Dr. Jie Zou PHY 1151G Department of Physics

  3. Kinetic Energy • Kinetic energy K: The energy of motion. • K = (1/2)mv2, where v is the speed. • SI units for kinetic energy: joule (J). • Kinetic energy is always greater than or equal to zero. • Example: Consider your kinetic energy when jogging. Assuming a mass of about 62 kg and a speed of 2.5 m/s, your kinetic energy is K = (1/2)mv2 = (1/2)(62 kg)(2.5 m/s)2 = 190 J. Dr. Jie Zou PHY 1151G Department of Physics

  4. Work-Energy Theorem • Work-energy theorem: The total (net) work done on an object is equal to the change in its kinetic energy. • Wtotal = K = (1/2)mvf2 - (1/2)mvi2 • Here vf and vi are the final and initial speed of the object, respectively. Dr. Jie Zou PHY 1151G Department of Physics

  5. Example 7-5 • A 4.1-kg box of books is lifted vertically from rest a distance of 1.6 m by an upward applied force of 60.0 N. Find • (a) The work done by the applied force. • (b) The work done by the force of gravity. • (c) Use work-energy theorem and find the final speed of the box. • Can you use kinematics equations to solve (c)? Dr. Jie Zou PHY 1151G Department of Physics

  6. Example 2 • A boy exerts a force of 11.0 N at 29.0 above the horizontal on a 6.40-kg sled. Find the work done by the boy and the final speed of the sled after it moves 2.00 m, assuming the sled starts with an initial speed of 0.500 m/s and slides horizontally without friction. Dr. Jie Zou PHY 1151G Department of Physics

  7. Power • Power: A measure of how quickly work is done. • Average power = W / t. • W is the work done in time t. • SI units: J/s = watt (W). • 1 horsepower (hp) = 746 W. Dr. Jie Zou PHY 1151G Department of Physics

  8. Example 7-8 • To pass a slow-moving truck, you want your 1.30103 kg-car to accelerate from 13.4 m/s (30.0 mph) to 17.9 m/s (40.0 mph) in 3.00 s. What is the minimum power required for this pass? Dr. Jie Zou PHY 1151G Department of Physics

  9. Homework • See online homework assignment at www.masteringphysics.com Dr. Jie Zou PHY 1151G Department of Physics

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