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The mass of a moving object appears to be 3.11% greater than its rest mass. What is it speed?

User Telebog
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1 Answer

7 votes

The apparent mass m is related to the actual mass m_0 by:


m=\frac{m_0}{\sqrt{1-(v^2)/(c^2)}}

Isolate v:


v=c\sqrt{1-\left((m_0)/(m)\right)^2}

Replace m=1.0311m_0:


v=c\sqrt{1-\left((m_0)/(1.0311m_0)\right)^2}=0.24375...c\approx7.3*10^6(m)/(s)

Therefore, the speed of the object is approximately 7.3*10^6 m/s.

User Nik Chankov
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