Which of the following coa;ulv t l54t0nuld be a unit of power?

  By approximately how many cdwqtq ,,7l y-powers of ten is the height of a human larger than the height of a grain of san-7y wq,d tcq,ld?

  What is the value of 7 z.4c5l,zq atypvp .i$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamihjuz ovd:t1nsxn 12.;j 6ov 7ental unit in the SI system?

  The volume of the Earth is appj2mp1 tb85 +y ), plnuezvns4gz4j 5rvroximately $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?

  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

  Estimate, to the nearest o8hr0zxos;0m2oy y b2 srder of magnitude, the number of heartbeats of an average adult humyrh8b;sy 2zms oo2x00 an in a day.

  Which of the following contains one fundamental unit and one derived un8 *glcj 7xgocx ;cr/(3m 9yt2zors-mt it?

  If A=10.0 and B=0.50, which calculation 85pr,dr,liojys8p+a will give the answer with the most decimal p o,y,s p8rl8ji5dpa+r laces?

  A car has a mass of 1000kg. A mouse has a m-fl zaltj/ 3:3pkdin-o/ s *czass of 10g. What is the order of magnitude of the ratio betwizoa- 3 cf tk-n:/djp3 lzs*/leen the mass of the car to that of the mouse?

  A train travels $42.6 \pm 0.7$ meters in $14.973 \pm 0.07$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Leave your answer to two significant figures, without units and without the $\pm$ symbol.)

  A water tank is the shape of a cube with side*vlual,a .n+ndt tn6 /s of $2.67 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Give your answer without a unit and to 2 significant figures)

  A pyramid has a square base of side8e)6.+zuxo n wic3oy6bys+ ud $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $6.2 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured using part mmu s 5ylvxvqz.3g: 48of a metre rule that is graduated in mill m: s5 34zuxym8vvg.qlimetres, as shown below.

What is the length of the pencil?

  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $5.5 \% $ uncertainty in $V$ and a $1.5 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is measured to be d3+y wuur d2 +.da-snd$19.7 \pm 1.9 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (Remember to keep three significant figures and exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $1.0 \%$ and the uncertainty in $l$ is $2.6 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign and keep two significant figures)

  The lengths of the sides of a room are esti58 nip5yo4ohghn0 b gmg,v)* j4ec.j xmated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (Give your answer in $\mathrm{m}^3$ to two significant figures, without a unit.)

  The potential difference r .)fnxp-)7*yxudfqi($V$) across a resistor is measured with a digital voltmeter to be $0.47 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank and keep two significant figures.)

  By averaging three measurements of the same quantity which of the foj7 ml.qzzi-/ fllowing can be rediz .m7jlq f-/zuced?

  A student measures a distance four times. The readings are 3n .fn.u11yldb 7.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thi .lfn.n1d uby1s measurement?

  A student measures two leng jsr8s+ vs/4u o10yteyths as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a p5wnt( f5e0m(y:gbw o d*yq v4and b, are measured to be $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

  The variation of quantity P as quantity Q varies is plotted. Tvme i8 jhai;pi :s8g)z1cs ,0i(ctmz)heory states that P8ms 0cam)jh; iiipe1zzi s(c v:t)g ,8 should vary linearly with Q.

  The length of a pencil is measured using part of a measuring ta 6ffol(3-x9(trknlk0ppz h ,upe as shown below.l -nuf(93 ltrpkf(xzo0ph6 ,k

What is the length of the pencil?

  The masses and weights of different objects are independently measur) /lr84y xmrized. The graph is a plot of weight versus masrl8r/m4 xizy)s that includes error bars.

What do these experimental results suggest?

  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$

  The lengths of the sides of a rectangular plate are measured, and thctz,v2qypf,0:7mumiy * h(il e diagram shows my,mzfc*q0,i(v7 th u2i y:pl the measured values with their uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a sol cf0m8l(ri+yfxj rus;d;4wq 9id sphere is measured with percentage uncertainty of 5%. The radius of therr4u;0s+f q;9jwd i ymc( 8xfl sphere is 2.9 ± 0.4 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasupb+b9 a9 0 zw8reb3ti shown that:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

  An experiment used to measure the acceleration -.wzaejl v2a-+g ;5a uz :mlkqdue to gravity produces the following results:+wzaaeak:m-2 jg;5v-q.ll z u
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

  A rectangle was drawn using a ruler,o a4w7 30gm .6ci:bhqioha: ka such that each measurement has an uncertainty ofoa q 4:iaog 6bwh3m.:0kac7ih $0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (Do not write units with the answer. Give your answer to 2 significant figures.)

  For an object of mass d27hn67zkj cn$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  An ammeter has a non-negligibgq.w;zh .ym 8rle zero offset error. Which of the following statements wz .;hqrgm8.y is correct?

  A student measures a length five times. All of the measurements lie berj/mkf,: )c cntween $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (Do not include the $\pm$ symbol nor the unit)

  A piece of string 9.5 ± 0.3 cm long is cut from a longer piece thatk 5ni(vufvv;5 is 12.6 ± 0.3 cm long. How longivfu;5v5(n kv is the remaining piece of string?

  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (Give your answer correct to two significant figures without the % sign.)

  A force of 10.0 ± 0.6 cdj7t5vvfga( x kb khy9,u71 )ttx:;vN is applied to a mass of 2.0 ± 0.07 kg, causing it to accelerated)tx(gkx jhka1 uv 5,:7t;tv7fb y9cv . What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.7 cm.3nwutnm ka +llpmr6w ke 8.5k65,2 woq
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %