Question
A particle of rest mass $m_{0}$ travels at a speed $v=0.20 c .$ How fast must the particle travel in order for its momentum to increase to twice its original value?a) $0.40 c$c) $0.38 c$e) $0.99 c$b) $0.10 c$d) $0.42 c$
Step 1
The initial momentum $P_1$ is given by: \[P_1 = \frac{m_0 v_1}{\sqrt{1 - \frac{v_1^2}{c^2}}}\] and the final momentum $P_2$ is given by: \[P_2 = \frac{m_0 v_2}{\sqrt{1 - \frac{v_2^2}{c^2}}}\] Show more…
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A particle of rest mass $m_{0}$ travels at a speed $v=0.20 c .$ How fast must the particle travel in order for its momentum to increase to twice its original value? a) $0.40 c$ c) $0.38 c$ e) $0.99 c$ b) $0.10 c$ d) $0.42 c$
A particle of rest mass $m_{0}$ travels at a speed $v=0.20 c$ How fast must the particle travel in order for its momentum to increase to twice its original momentum? a) $0.40 c$ c) $0.38 c$ e) $0.99 c$ b) $0.10 c$ d) $0.42 c$
(II) A particle of rest mass $m_{0}$ travels at a speed $v=0.20 \mathrm{c}$ . At what speed will its momentum be doubled?
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