Which of the following could be a unit of power? gwk o xym:oh-dm+5c*(

  By approximately how many powers of ten is the height o)3;zbzwjr 9 ,jdj( so *y-rqvmf a human larger than the height of a gradqzw;)j j,b9-r ojzsr *v(3y min of sand?

  What is the value of 95d) jm l;ruxa$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI htm:g0/fk( fh hy.*s.xe+pm 4ft6ikesystem?

  The volume of the Earth is approxi1g,m9h mb1*ixsjrzh :mately $10^{12} \mathrm{~km}^3$ 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 order of magnitude, u;amx8r40d3 k j wd4uethe number of heartbeats of an average adult human in a daydm u0 4w4kdx8reauj;3.

  Which of the following contains one fundamentalct0jirkt)s1) lv l5v . unit and one derived unit?

  If A=10.0 and B=0.50, which calculation willc4029 v,yiuhganmv uoh4k: :b give the answer with the most decimal plavo4av2 u4:y9gk bn,umi :c0h hces?

  A car has a mass of 1000kg.5h: 52ticzh yf A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the 5f5y c2it:hzhcar to that of the mouse?

  A train travels $76.3 \pm 0.3$ meters in $3.367 \pm 0.05$ 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 o - zvo thm xgpv--9eqx d/+x33y1say+with sides of $4.61 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 square65x9ryju8u9ue- xic)e8 k row base of side $x$ 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 $8.9 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measurer f0uc 3+)vpsvtjk +c(fr 3c m6z uz/yu8b;-bdd using part of a metre rule that is graduated in millimetres, as shown belowsf3c/-+cuvrt +z jy) 8u;0(pzmub bv 3 cdfk6r.

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 $6.3 \% $ uncertainty in $V$ and a $1.0 \%$ 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 ;-jfd yx )g,wfe dhn2/to be $10.7 \pm 1.5 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $2.3 \%$, 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 estx5+-q j8jlo-gsqrv x e3h.3 hgimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 (f86bd(nc7cai $V$) across a resistor is measured with a digital voltmeter to be $0.48 \; V$ . 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 th6o8ct4 md*d0gnx b 8re6(rsjge following can be redud6et*ods 8n8jr6(0rgcb 4 m xgced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cmm*-kpgeeb) pu)s-y9h, 38.1 cm, 38.2 cm. What is the best esti g-sm*-epukp y9 ))bhemate of this measurement?

  A student measures two lengt 3l) gwtyy/v:12 qqt .vcguoz+hs 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 and b, are mehx:wthlj ./ht5 qyq1b7i 2 )nuasured 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 Psd/5zt,dzkj:1r rtrg .) zv9.nniis- as quantity Q varies is plotted. Theory states that P should vary linearly witt./s-vsnr gz.9 id t 51:i),rzrkdjn zh Q.

  The length of a pencil i5nt1yzaz; n;i g3uvlc b8: )eq0a2pvw s measured using part of a measuring tape as shown below.vn:uy8g25 ;eiacvbn01z3a; )lpz wqt

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Tn+(ab3m jg2:qc ni) kuhe graph is a plot of )au3+ i:(2jcnnkqb mg weight versus mass 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 mec-. s/n:1birkfpq: b.qjstp(j) q tu)asured, and the diagram shows the mes-jr.qfbqb qp:c(pu .ji))/: 1nstt kasured 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 solid sphere is measured with percentage uncertog8lz2mp(ec5 ainty of 7%. The radius of the sphere is 5.3 ± 0.4 cm. What is the percentage el(mc8po 2zg 5uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown tgs,rpvu)p e q3 q/,)tmhat:
$$
P=\frac{g h^2}{u^3}
$$
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 due to gravitbvt b /q bg:p0e:0d6nh-dv/v gy produces the following v bg bevn/:b06d-h/d v qtg0p:results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, such that each meal nmk4fh5frbng:9)y+ surement has an uncertainty n5lyh4km rn )f+gb9 :fof $0.5 \mathrm{~cm} .$

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 mas9a4fnn(vnez1v ws 1/as $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.5 \%$ 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-negligible zero offset error. Which o3e; eobx9s zj.f the following statements is correcto3;x 9j.se zbe?

  A student measures a length five times. All of the measurements lie betweeubs ,2m2gaq+ s ;c4lsqb(z6e dn $18.8 \mathrm{~cm}$ 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 ± 0.4 *rjn6t;tytpfo v7+, z* 4xsda cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How lxojpa 4zn,+ y 7rtft*;*sdvt 6ong 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. 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 N is applied to a mass of 2.0 ± l)cf(6cfx jq- 0.07 kg, causing it to accelerqcf)x-l cf6 (jate. 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 ± y ggv8 ,ckh9w31.9 cm.
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) %