The Bernoulli equation is valid for steady, inviscid, incompressible flows with constant acceleration of gravity. Consider flow on a planet where the acceleration of gravity varies with height so that \(g=g_{0}-c z\), where \(g_{0}\) and \(c\) are constants. Integrate \(" F=m a "\) along a streamline to obtain the equivalent of the Bernoulli equation for this flow.

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Bernoulli equation p+pv + z = constant along streamline