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Unformatted text preview: N. a) Write down the definition of work in integral form, and then express the integrand in terms of T, x and h . The definition of work is W T = 1 2 T dx = 1 2 Tcos dx where is the angle between T and positive x direction. Let the angle between T and negative x direction. The integrand is Tcos = -Tcos = -T x/ (x 2 + h 2 ) b) What is the change in the kinetic energy of the cart during the move? According to the work-energy theorem, the change in the kinetic energy of an object is equal to the work done on the object. The definition of work yields K = W T = -T 1 2 x/ (x 2 + h 2 )dx Changing the variable from x to s = (x 2 + h 2 ), we get K = - 1 2 Tds = -Ts| 1 2 = -[ (x 2 2 + h 2 ) - (x 1 2 + h 2 )] = 111 J...
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This note was uploaded on 12/10/2011 for the course PHY 2048 taught by Professor Field during the Spring '08 term at University of Florida.
- Spring '08