Suppose that an object of mass m is moved along a smooth curve C described by r

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Suppose that an object of mass m is moved along a smooth curve C described by
r = r (t) = x(t)i + y(t)j + z(t)k, a ‰¤ t ‰¤ b
while subject only to the continuous force F. Show that the work done is equal to the change in the kinetic energy of the object; that is, show that
llr (b)P – (@)FI zl(9),| F.dr
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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