Classical Physics Homework: Relativistic Velocity Addition

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SUMMARY

The forum discussion centers on the relativistic velocity addition formula, specifically calculating the sum of two speeds, v and u, both set at 0.01c (1% of the speed of light). The user initially calculated the speed as 1.98020%, but received clarification that the correct answer is approximately 1.9998%, which aligns closely with the expected result of 2% when speeds are low. The discrepancy arose from rounding errors in the calculations.

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Homework Statement



Now, consider the relativistic velocity addition formula:

speed= (v+u)/(1+vu/c2.
If v = u = 0.01c = 1 % of c, what is the relativistic sum of the two speeds?
Express your answer as a percentage of the speed of light to five significant figures.

Homework Equations


the equation is given in the problem

The Attempt at a Solution



this is what i did speed= (1%+1%)/(1+(%*1%)/(100%2)

and got 1.98020% don't know where I am going wrong help!
 
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There is nothing wrong. Maybe you round the number quite too much. I got 1.9998%c, very close to 2% (=u+v) as expected.
 
i see. thanks man
 

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