## Related questions with answers

Question

An object has rest mass $m$. If the object's relativistic momentum is $4 m c$, then its speed must be $4 c$.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3This statement is false. The correct statement we find from

$p=\frac{mv}{\sqrt{1-v^2/c^2}}=4mc$

$\frac{v}{4c}=\sqrt{1-v^2/c^2}$

$\frac{v^2}{16c^2}=1-v^2/c^2$

$\frac{17v^2}{16c^2}=1\to\frac{v^2}{c^2}=\frac{16}{17}$

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