Which of the following could be a unzve5wd) x4hmm1w*oy* it of power?

  By approximately how many powers of ten is the height of a human xbj --,p;k jfhua2*p 6ao lyejz rn343larger than the hlku;ph- arap*f 3j3j26xnoj- y4ez ,b eight of a grain of sand?

  What is the value of z -e) fdkt3znej7(m jjb2,*kr $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the g91 g9fw 4rb92 cb t 6wt;xtlgejwt39jSI system?

  The volume of the Earth is approximatelwv1 yk0k y*hbt7yq2v3mv4 y. jy $10^{12} \mathrm{~km}^3$ 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,brqbby,sd3 +i*a1(; jawvy 1d the number of heartbeats of an average adult human in a day.v;rs1y+, awi3ab1jb * ybdd(q

  Which of the following contains one fundame vh/3p;s6sbwsntal unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most deciq7 recn h6 t m1g4s-r.d8tee5mmal ple6smgth8d 7q4t5ec1 er- m. rnaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g.w kz jb9cbn 2x562q;rj What is the order of magnitude of the ratio between the mass of the car to that of thxc qkj jnb9r5z6;w 22be mouse?

  A train travels $50.2 \pm 0.3$ meters in $6.178 \pm 0.08$ 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 shape7if 7g m,vsegn.zy60 y of a cube with sides of $2.67 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 baseknx 5(i/ ujwnv x*3(nb 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 $9.7 \%$ and $h$ is measured to $3 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil u*aafhtm/v* /is measured using part of a metre rule that is graduated in millimahuf//v* *ma tetres, 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 $3.5 \% $ uncertainty in $V$ and a $2.7 \%$ 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 to9e7drkj:ka b2 be $12.0 \pm 1.4 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $4.2 \%$, 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 sides of a room are esti-w5 nexxx 8,3qjg 9-mma1hdvdmated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 differeoa7-ducatm ,ql6-k 0qnce ($V$) across a resistor is measured with a digital voltmeter to be $0.64 \; V$ . 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 m l) hv1/6..uypefqv.bmk 6h pmeasurements of the same quantity which of the following can be rmk.b6hp mey)vl.v1 h6 qf p/u.educed?

  A student measures a distance four tnb7d( ytq1)ouk2( n vximes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thisvk7 o2)q1 u txnd((bny measurement?

  A student measures two lengths as e:ew/2n u-dmkpb 4cw *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, arnl hjr+vy ;8 w*hc(v+je 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 quantic6ftx alu0:*w ty Q varies is plotted. Theory states that :twx0cfu*al6 P should vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown belly fa 4f+rclnu3c,(q 5owy,fnc ac4lqr f3u(+5l .

What is the length of the pencil?

  The masses and weights of 7j6cii-q4vic different objects are independently measured. The graph is a plot of weight versus mass thv6ic7icq- i 4jat 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 80)md eqbwvva4+g2em of a rectangular plate are measured, and the diagram shma+4ev2ge8 q dmbw)0vows 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 solid sphere is measured with percentab,6brno7 6thqw. fo*cge uncertainty of 5%. The rahb 7wr.q6bc6,o ftno*dius of the sphere is 3.8 ± 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 shog d7gnr0b xe6b+w+ xj;wn 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 menkpn6+e lijpq 5d5d:y: prz -7asure the acceleration due to gravity produces the following resd+nrei:7dkjp:lyz5p56 qpn -ults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 a du, urv/m )x7-(2xnoo *xoulgn uncertaintgxd/u rlx7ox*un)2 ,vo- (mouy 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 massr0fny./5 ls6mvo 9ylv $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.8 \%$ 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 zer-h5no9pcip. 2 e6brvy o offset error. Which of the following statements ip ibyn o.2cp5r-e9 hv6s correct?

  A student measures a length five times. All of the measurements lie between j9 0ohmzd6:;ra. ;sns-d ksv4 co3rne$18.8 \mathrm{~cm}$ 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 ± 0.2 cm long is cut from a lovb2 i72wj o/wynger piece that is 12.6 ± 0.8 cm long. How long is the remaining 2 w2ojbvywi7/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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 10 \%$. 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 al wp)8tl swi.w*gm/l 7 xv*2pe4 ce5nx mass of 2.0 ± 0.03 kg, causing it to accelerate. What is the percentage uncertainty of itnc/il x 4xplw5 *e7w 8l*.gmpwt)v es2s 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.u;l ve rhb*o.:0 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) %