IP1U5 5.4 PN5 Q1

IP1U5 5.4 PN5 Q1

  1. Make \(x\) the subject of the formula in \(a-p=\sqrt{\frac{pq}{x}}\).
  2. Given that \(E=\frac{m{{v}^{2}}}{2}+mgh\),
    1. express \(m\) in terms of \(E\), \(v\), \(g\) and \(h\),
    2. hence, find the value of \(m\) when \(E=60\), \(v=8\), \(g=10\) and \(h=-2\).

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Answer:(a) \(x=\frac{pq}{(a-p)^2}\), \(a\ne p\) (b)(i) \(m=\frac{2E}{v^2+2gh}\) (b)(ii) \(m=5\)

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