Question
The kinetic energy of a body with mass $m$ and velocity $v$ is $K=\frac{1}{2} m v^{2} .$ Show that$$\frac{\partial K}{\partial m} \frac{\partial^{2} K}{\partial v^{2}}=K$$
Step 1
This is given by: $$\frac{\partial K}{\partial m} = \frac{1}{2} v^{2}$$ Show more…
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The kinetic energy of a body with mass $ m $ and velocity $ v $ is $ K = \frac{1}{2} mv^2 $. Show that $$ \dfrac{\partial K}{\partial m} \dfrac{\partial^2 K}{\partial v^2} = K $$
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