Which of the following could bn 6m* -e)ben11fsbhcve a unit of power?

  By approximately how many powers of ten is the heihgpn9we q2y.ys(p:vult+.9 x ght of a human larger than the height of a grawn.p2 .sx 9v htyqup: +elg(9yin of sand?

  What is the value of ,q 9 r48ysi.2jycctcn$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental u ajoox+mpi5,p0gr 4y* xj3p )init in the SI system?

  The volume of the Earth is appc8:v 5pfr2dx wroximately $10^{12} \mathrm{~km}^3$ 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, thep3(2,vops iwe number of heartbeats of an average adulv o2,s(ie wpp3t human in a day.

  Which of the following0bf;u+qohlrq n2u+ 9x(jb nn. contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dwd(kjav8 .7dthv*g8fv; pd j9 ecimalwag*8k.jd pd7ht; v9( vv d8fj places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Whaj9d6ei 5nmj2a t is the order of magnitude of2in96a d5emjj the ratio between the mass of the car to that of the mouse?

  A train travels $40.7 \pm 0.3$ meters in $15.131 \pm 0.03$ 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 s/63f hw8w /hlu9wp,rzrb att)ides of $4.80 \mathrm{~m}$. Each side is measured with an uncertainty of $1.0 \%$. 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 ht-rz)s 2xf7ll;s r1*su ,s+sqq *dnc 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 $4.7 \%$ 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 of a rz8;:. ymcqr c*.0rec(;w m *arqvhsl metre rule that is graduated in cm*c:.*w req z;asvh;(q80mrl.y rcrmillimetres, 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 $4.9 \% $ uncertainty in $V$ and a $1.6 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloonw:qpm j -w cy8fg/y: 8rvih4/y is measured to be $24.2 \pm 1.0 \; cm$. 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 $1.4 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 si 0csm7ip s9u85g; oywddes of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differepyy cvlcs37 d5t:5v)s nce ($V$) across a resistor is measured with a digital voltmeter to be $0.66 \; V$ . 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 y*fn ;izovecx t+ a;92same quantity which of the following can be rec+x*9y t fozv2 ;nea;iduced?

  A student measures a distance four tiy.x wav bg0uhn:*0fqq b:u*r/mes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Whauq:ayf/r*.vxg* n: 0q0uh bwbt is the best estimate of this measurement?

  A student measures two lengtr6eot08xq wmp i06 gz 8e f+1qbc;pm.ghs 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 md +1j:p2psh2 gr:ktmf,8a qzueasured 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 stl qp9.bx;t w;/fuu*t+c: ad is plotted. Theory states that P ;stw9dbu:fu/.q p t+*lx;catshould vary linearly with Q.

  The length of a pencil is me uhsk110hr )vvwda 9k61ck1jfasured using part of a measuring tape as shown belowca 01jw )h1k6hr91udk1 svfv k.

What is the length of the pencil?

  The masses and weights of differe 9 xe5p tbm+kq6o(ozjh.az+6m nt objects are independently measured. The graph is a plot of weight ve (omz6+5 jmq6+ezt9bphx ao. krsus 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 g1aj rtm8 sh3x.f.z0t a rectangular plate are measured, and the diagram shows the measured values with .t3 hr0t sxf1.jamz g8their 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 percentagerap )s.(4c8h wz fqoo t;-cr-wzxu4f6 uncertainty of 4%. The radius of the sphere is 4.3 ± 0.3 cm. What is the percentage uncertainty in the mass of th rfz4(.ocwp 4cu)q zrso-t6;wf 8ax h-e sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sj 5bq 7a8 v+okgb;hq92ehcgs;hown 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 due9q mc80spdh k;.t ox5obg1: jk to gravity produces the following r10q:;ob dkjxhcm 5 gts .pok98esults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an uncertai 3:xiza rzvc q9ey--p3nty x:vz i3yqaezpc-r93- 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 massutk (4 *fkmbo0 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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 followqeh6 2e5c/jkying statements /2qyhjck 5ee6is correct?

  A student measures a length five times. All of the mea9rzwpv(poqt+oka9 z2d/ ic 6f*l5c v0surements 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 ± 0ru/ws2j mo 0t0.3 cm long is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is the remaining piece of stringst0/02w jorum ?

  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 $\pm 7 \%$. 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 ± 1.0 N is applied to a mass of 2.iq5epwy s) wl mozs0+8q2,cf2lyy ; u-0 ± 0.21 kg, causing it to accelerate. What is the percentage uncertai-m 8seoufqzys;p )0ll2i5y+ wy 2,qcwnty 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 ±)65qpcnt,pc e 0.3 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) %