Which of the following cic,1-l8gl 5q-a xg olxould be a unit of power?

  By approximately how many powers of ten is the height of a human larger than-4 l,+7vvqp bw abyi/p lub0-y the height of a grailv,pp0blw 4-u byb v- /y7aqi+n of sand?

  What is the value ofcbdbituuwrz jzlfh/;.; 7k, *u 1.j5w $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI systo0pd 3ldh8r)w7w qj;h0 httn:em?

  The volume of the Earth is approxivbbmy z8 3b5d7mately $10^{12} \mathrm{~km}^3$ 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, th0iuw8 cxj1xkb150 k4y sv rd6be number of heartbeats of an average adult humavcy6x5d1 ukbi 1 4bskx08w0rj n in a day.

  Which of the following contains one fundamental unit ifs3iy q /;dy0and one derived unit?

  If A=10.0 and B=0.50, which calculajf)ux8x8u0ch. jchhdyg 3)ty. (ix :c tion will give the answer with the most decimal x3u)8 0h:tyh x. )jccu h8.d(xyjif cgplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the orderxa7z+u. rtq:u .pde k2 of magnitude of the ratio between thadk e.x q:7tz.uu2rp+ e mass of the car to that of the mouse?

  A train travels $68.9 \pm 0.6$ meters in $13.996 \pm 0.04$ 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 n/:9gow m+k. brh c4nd gd :ba-d54eswwith sides of $3.17 \mathrm{~m}$. 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 square baswqs*8vlw99yyz;v 8kwk(r .vr e 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 $4.9 \%$ and $h$ is measured to $1 \%$, 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 metre rule that is graduat / gigo6me5x(;bmp7fued in millimetresog 6x (f5bpim;egmu7/ , 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 $5.7 \% $ uncertainty in $V$ and a $2.6 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloonp7 9t ul,mru8gj8;iki5 hnc6 .*iqpxbk wwu 3/ is measured to be $13.9 \pm 1.8 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $6.4 \%$, 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 estimated*,3 fk2urmkge 7zznr- 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 difference 4 -gvkxll,ed92t 8ph n+bgmp )($V$) across a resistor is measured with a digital voltmeter to be $0.26 \; V$ . 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 quantitycp1af; rag n c*u0/8ma which of the following can be pan8 mfaa;1cr/u 0cg*reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm,7kt: r7g4dta jw* y7qp 38.1 cm, 38.2 cm. What is the best estimate of this measuremtw da7:t *7j r7p4kqgyent?

  A student measures two lengths nv14un)94bfp+ oe my mas 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, x,2pd4wrw4si xo5l9x 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 plou,wp+z zp f +t/-iub8lnt0;kntted. Theory states that P should vary;,bpnlf- ut +z ukztn/pw+ 0i8 linearly with Q.

  The length of a pencixc- (gh *1lj.a:mxrgw jh .2lnl is measured using part of a measuring tape as shown belowlxwn.gmx - h.ahj1 2cgrj:(l*.

What is the length of the pencil?

  The masses and weights of different oznq u*v3yqk x/.n-o)wdw0g cyb))l +hbjects are independently measured. The graph is a plot of weight y)-vuo +kcyhwlbnn xw . )g3*z0 /dqq)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 m(ovj xgo47jys-sww2p*;+ ro neasured, and the diagram shows the measured values with their uncerj jo ;*xw72so-w rson v+p(4gytainties.

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 uncv(nne :xwz(m( ertainty of 6%. The radius of the sphere is 1.2 ± 0.4 cm. What is the percentage uncertainty in the mass ( nmxzew(v :n(of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has se c-j*im kln)k3;sxkmf(q2;/ ,cbnrbh;m,e ehown 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 due to gravitq*vxc.a8d- lqy produces the followia*8qcq- l d.vxng 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 thattmd5 zp0c; 9ch each measurement has an uncertaincmc0;hp9 zt 5dty 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 masqg/ 0( mdkyf- nf*43dybpwa5b,ri. nps $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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 uwmmoo 6;ibni/+/-ur 2pw4 io s*r1okoffset error. Which of the following statemenoo n s ;6mr iuii+rwum2/o4pkb*/ 1-wots is correct?

  A student measures a length five times. All (c2+g0wyai* 9znzxypyr -c9aof the 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 ± 0.3 cm long i8*/wdezbl 7k(dlj zc 4s cut from a longer piece that is 12.6 ± 0.5 cm long. How long is the remaining piece of dl(cz /e wb87dlk *4jzstring?

  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 $\pm 5 \%$. 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 ± 0.9 N is applied to a mass on/7be)/k4clmrgfjd ,,pg c +s f 2.0 ± 0.18 kg, causing it to accelerate. What is the percentage unc7m/eng drcl),s 4,pj b +/cfgkertainty 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 l5x bdsuj8d 8inh(931av jgr710.0 ± 0.9 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) %