The percentage errors in the measurement of mass and speed are 2% and 3% respectively. The maximum percentage error in kinetic energy is:
A5%
B8%
C11%
D14%
Answer & Solution
Correct answer: B. 8%
Kinetic energy $K=\frac{1}{2}mv^2$. For products and powers, maximum percentage errors add with their powers: $\frac{\Delta K}{K}\times100 = 2\% + 2\times 3\% = 8\%$.
Related questions
The angle made by the tangent of the curve $x = a$ ($t + in t$ cost); $y = a(1 + in t)^2A value of $C$ for which the conclusion of mean value theorem holds for the function $f(x)The value of $f(0)$ so that the function $f(x) = \frac{ qrt{1 + x} - qrt[3]{1 + x}}{x}$ b$\int_{-2}^{2}|1 - x^2|dx =$$\lim_{n\to \infty} um_{r = 1}^{n}1 - \frac{1}{n} e^{r}$ isLet $p(x)$ be a function defined on $R$ such that $p'(x) = p'(1 - x)$, for all $x \in [0, If $\frac{dv}{dx} = y + 3 > 0$ and $y(0) = 2$, then $y(\ln 2)$ is equal toThe equation $y^{2} \mathrm{e}^{xy} = 9 \mathrm{e}^{-3} \cdot x^{2}$ defines $y$ as a diff