[填空题]
The density of a solid sphere is measured with percentage unce k,nbj:ydd uh8o 7s3x/rtaico;r8(:7z(tf mo ;zru jg/uu0kjm fw*16kio lnty of 5%. The radius of the sphere is 4.0 ± 0.2 cm. What is the perc:ujgij1;( /c ukm oktwr6*o zo8l0(r7f;ufmz entage uncertainty in the mass of the sphere? % (Please do not include the % simbol in the blank)
参考答案: 20.0
本题详细解析: The mass of the sphere can be cadsa 98cbr2hmjj70f( q lculated by multiplying its volume by the density of the material of which it is fr0 b789dq2jam js c(hmade: $$M=\frac{4}{3} \pi r^3 \rho$$ so the percentage uncertainty in $M$ is $$\frac{\Delta M}{M}=3 \frac{\Delta r}{r}+\frac{\Delta \rho}{\rho} .$$ The percentage uncertainty in $r$ is $5 \%$, so the percentage error in $M$ is $(3 \times 5 \%)+5 \%=20 \%$
Post time 2024-8-21 21:38:19