Physics

Physics

Problem

A proton (mass 1.67×10−27 kg1.67\times10^{-27}\,\text{kg}, charge 1.6×10−19 C1.6\times10^{-19}\,\text{C}) has instantaneous velocity v⃗=(2 i^+3 j^)×106 m s−1\vec v = (2\,\hat i + 3\,\hat j)\times10^{6}\,\text{m s}^{-1} in a region where E⃗=(5 i^−2 j^)×103 V m−1\vec E = (5\,\hat i - 2\,\hat j)\times10^{3}\,\text{V m}^{-1} and B⃗=−0.10 T k^\vec B = -0.10\,\text{T}\,\hat k. What is the magnitude of its acceleration at that instant? a) 2.0×1013 m s−22.0 \times 10^{13}\,\text{m s}^{-2} b) 3.4×1012 m s−23.4 \times 10^{12}\,\text{m s}^{-2} c) 3.4×1013 m s−23.4 \times 10^{13}\,\text{m s}^{-2} d) 5.7×1012 m s−25.7 \times 10^{12}\,\text{m s}^{-2}

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