# Error Analysis, Change in momentum, Kinetic Energy

If momentum of an object is increased by 10%,then its kinetic energy will be increased by?

Well, I don't need the solution logically by calculating the change in Kinetic Energy etc, but my question is that can this be solved using error analysis only?

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Do you know how to propagate uncertainties through powers (like, $E_k = p^2/2m$ in this case)? There you go then. – dmckee Jul 7 '12 at 16:48
No, I'd like a refresh please, also when my friend tried by that method she is not able to reach the answer. – user1502178 Jul 7 '12 at 16:55
You will never get perfect answer through the kind of linear error analysis that is taught at the undergraduate level (i.e. in the case of a 10% change you are dropping terms of order 1%), but it works just fine as an approximation. If $x = y^n$ then $\Delta x \approx n y^{n-1} \Delta y$. – dmckee Jul 7 '12 at 17:19
Oh ok, the answer through the normal method is 21%, can you confirm that using error analysis? – user1502178 Jul 7 '12 at 17:26