Which of the following could be a unit o+8 u g,ctslp5tf power?

  By approximately how many powers of ten is the height k9 gwa+9.olf(c azno.0pqb2t of a human larger than the height of a grain of sand?ab onk.g+f9qat l( .zc wp0o92

  What is the value ofkdr)*8 +0ju9h el-k.mqylg vt $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the xv2yh).fuyo+0g*aj x SI system?

  The volume of the Ear:fmr)b,rvcot og . d48th is approximately $10^{12} \mathrm{~km}^3$ 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 ordergmg z b26gu.w :)k+gjm p+6umj of magnitude, the number of heartbeats of an average m2w6+kjj gmu )g.ub6gzmp: g+ adult human in a day.

  Which of the following contains one fundamentago fu 5fec1 dn7v850qtl unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answeakumb woi z8 ;hi r, jb/s4fb73u:p:8kr with the most decimajwubb,:zi3s m ikpr8fb:/ou;7 a h48k l places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is ts .vdy+itg u .3s6l.f-nnpx 4d-f2fighe order of magnitude.p4yuds-isnlnf2 .xg+f3df.ivt6g - of the ratio between the mass of the car to that of the mouse?

  A train travels $88.2 \pm 0.4$ meters in $8.981 \pm 0.05$ 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 cgr7kf*/w vc0dq 05w dtube with sides of $4.37 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 squaji-pq .0eg)r bre 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 $6.1 \%$ 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 fz2awjpff 68+measured using part of a metre rule that is graduated in millimetres, a +ffa 2jz8pfw6s 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 $4.2 \% $ uncertainty in $V$ and a $2.0 \%$ 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 t+f+2 ;dntljzj o be $12.5 \pm 0.8 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $6.1 \%$, 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 areqbhu x:3gib:td )v-p 2 estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differ 9 b 62wpb m4:jq90cjhogpkf9hence ($V$) across a resistor is measured with a digital voltmeter to be $0.54 \; V$ . 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 wxchu8ay3 8k h;qpx35qhich of the following can be reduceh;a88px h5yq33 cqkuxd?

  A student measures a distancejx3 czm1ji1w5 four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Whaix53 j cwjzm11t is the best estimate of this measurement?

  A student measures two length gls. /w vr5 d4z228pvugpp-oks 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 1mc2z4wee7a-izedl(yl8 ( ol 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 plottedni k2;ey dm+*gna5px9. Theory states that P should vary li;kd+ea2gy9x m n*np 5inearly with Q.

  The length of a pencil is m5j: 0cm5lomyyeasured using part of a measuring tape as shown below.y: mj0m5 lyoc5

What is the length of the pencil?

  The masses and weights of different objects are independently measured. bshxymmzh. tomq8z5 ;:vl59- The graph is a plot of weight versus mass that includes error ba.t:omxy8;5 hb 9 -vsm5mlhzq zrs.

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 pkln9k60l k 0lslate are measured, and the diagram shows the measured values with 9n ll60slk0kk 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 sphere11,pc) b6ftb:ypz9ok 2q llivq(l8 n m9i3s va is measured with percentage uncertainty of 7%. The radius oflf)(i 93:o2qvqs bikl 61pzl9mt8cp1a n vy ,b the sphere is 3.9 ± 0.2 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 has shown thius1b ylm9c (jd 5 --r0see3teat:
$$
P=\frac{g h^2}{u^3}
$$
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 gravity produces the folloj8ueizw51m jkvl g3h ,ckf+80 wing3 zj08,ehckjimf+1u5vk 8 wl g 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 usingj v+. c o3j :qvhyzak+0mw):.ccti7ot a ruler, such that each measurement has an uncertaintyc vtqk.o0ca) 7yiwm :+vjzt+3: jo.hc of $0.5 \mathrm{~cm} .$

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 mass8 av7p2 u;yv4en 4rp/ijkrz(f $(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero offset error. Which of the follr6c awao9/xw4ryd 1d2owing statementsy /ar x6d1c49wra2ow d is correct?

  A student measures a length five times. All of the sl0ce,- 4ylby,wn r7s measurements lie between $18.8 \mathrm{~cm}$ 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 cm long is cut from a longer pi vja vgg ,) qj/;r:nmm 21z57.jfoahquece that is 12.6 ± 0.2 cm long. How long is to.2:qnjq rg/ 51fvm7jh um)avz;g,ajhe 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 3 \%$. 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 ± 0.17 kg+5mrl:bj s3ukwhzl)8 , causing it to accelerate. What is3w +bll)kh 58rj: zmus 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 o s,)b4w8vye1innn* m ± 1.3 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) %