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lecture19 - Work and Kinetic Energy Work by a variable...

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Physics 1D03 Work and Kinetic Energy Work by a variable force Kinetic Energy and the Work-Energy Theorem Serway & Jewett 7.3, 7.4
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Physics 1D03 Example (massless pulleys, no friction) s = 2 m How much work is done on the rope by F p ? = (25N)(2m) How much work is done by the upward force on the ball? = (100N)(0.5m) 100 N
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Physics 1D03 Determine the work done by a force as the particle moves from x=0 to x=6m: x(m) F(N) 0 1 2 3 4 5 6 5
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Physics 1D03 Then the Work-Energy Theorem says: The total work done by all external forces acting on a particle is equal to the increase in its kinetic energy. Kinetic Energy Definition: for a particle moving with speed v, the kinetic energy is K = ½ mv 2 (a SCALAR) Proof: from Newton’s Second Law, and the definition of Work.
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Physics 1D03 Kinetic Energy is measured in joules (1J=1Nm). Kinetic energy is a scalar; the work-energy theorem is a scalar relation. This theorem is equivalent to Newton’s Second Law. In principle, either method can be used for any problem in particle dynamics.
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