# 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 Power Serway & Jewett 7.3, 7.4

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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
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. The energy approach works most easily with forces and velocities as functions of position, rather than time.
Physics 1D03 Example A block of mass 1kg moving with v i =2m/s gets a push of 10N over a distance of 4m. What is the new velocity ?

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

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