A particle of mass m moves along the x-axis so that its position x and velocity v

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A particle of mass m moves along the x-axis so that its position x and velocity v = dx/dt satisfy
m(v2 - v20) = k(x20 - x2)
where v0, x0, and k are constants. Show by implicit differentiation that
m dv/dt = - kx
whenever v ≠ 0.

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Calculus

ISBN: 978-0131429246

9th edition

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

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Question Posted: Jun 21, 2016 09:49 AM

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A particle of mass m moves along the x-axis so that its position x and velocity v

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The equation is mv 2 mv 2 0 kx 2 0 kx ...View the full answer

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