The formula used in an experiment is given by $E=\frac{2{{p}^{2}}+3x}{{{p}^{2}}+m}$. Express $p$

Question

The formula used in an experiment is given by $E=\frac{2{{p}^{2}}+3x}{{{p}^{2}}+m}$. Express $p$ in terms of $E$, $m$ and $x$. Find the value of $m$ if $x=20$, $p=6$ and $E=2$.

Accepted Answer

(a) $p=\pm\sqrt{\frac{3x-Em}{E-2}}$, $E\ne2$ (b) $m=30$

IP1U5 5.4 Worked Example 5

IP1U5 5.4 Worked Example 5

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