Answer
$140MeV$
Work Step by Step
We can find the required rest energy as
$m_{\circ}c^2=\frac{(pc)^2-K^2}{2K}$
We plug in the known values to obtain:
$m_{\circ}c^2=\frac{[105(MeV/c)(c)]^2-(35.0MeV)^2}{2(35.0MeV)}$
$m_{\circ}c^2=140MeV$
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