Kognity IB Physics A.0 Measurements & Uncertainty (id: a549ac357)

本题目来源于试卷: Kognity IB Physics A.0 Measurements & Uncertainty，类别为 IB物理学

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[填空题]
A train travels $64.7\pm 0.5$ meters in $8.650\pm 0.05$ seconds. What is the absolute uncertainty in its speed?    (Leave your answer to two significant figures, without units and without the $\pm$ symbol.)

参考答案: 0.101


本题详细解析:
Calculating the spee0x po1g ft8 bw2v mgl1i1t3t5kd gives: $$v=\frac{d}{t}=\frac{64.7\mathrm{m}}{8.65\mathrm{s}}=7.48\mathrm{m}\cdot {\mathrm{s}}^{-1}$$ The uncertainty on the speed is given by: $$\frac{\mathrm{\Delta }v}{v}=\frac{\mathrm{\Delta }d}{d}+\frac{\mathrm{\Delta }t}{t}$$ so: $$\frac{\mathrm{\Delta }v}{7.48}=\frac{0.5}{64.7}+\frac{0.05}{8.65}$$ and: $$\mathrm{\Delta }v=0.1\mathrm{m}\cdot {\mathrm{s}}^{-1}.$$ Giving the final value, $$\mathrm{v}=7.5\pm 0.1\mathrm{m}\cdot {\mathrm{s}}^{-1}$$

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