Which of the following could ( dx.h yaw67cwbe a unit of power?

  By approximately how many powers of ten is the height of a human larger than cv,tum+*.b y/- tkljithe height of a grain of sandy ijutclv,bk+ .m/*t- ?

  What is the value of ueilhovtfl3:ynv(y4dg*0p1t d7x w k 521 l2k $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is2k6aje86 wmzm a fundamental unit in the SI system?

  The volume of the Earth is approxj2 9k+( ion*aepf1:ti xqlpj;imately $10^{12} \mathrm{~km}^3$ 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, the number of heartbeats of an am+, f* pruv7 wvtr) e5azia+)7 nmwx(wverage )wwmax 7 (*rzwuf p57i naervt) m,v++adult human in a day.

  Which of the following contains one l *1w6tihct;0) +2bd m )bfutytvz b2rfundamental unit and one derived unit?

  If A=10.0 and B=0.50, wt +0maai; h6zfhich calculation will give the answer with the most decimal pla0mf z; h6ita+aces?

  A car has a mass of 1000kg. A mousuxzc tg c65bh6 a/5ro)e has a mass of 10g. What is the order of magnitude of theb uhtg co r5/6zc6a)5x ratio between the mass of the car to that of the mouse?

  A train travels $62.2 \pm 0.3$ meters in $5.818 \pm 0.05$ 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 st9iswlc 1dq3tx1jrm8n8 l y07hape of a cube with sides of $3.84 \mathrm{~m}$. Each side is measured with an uncertainty of $1.2 \%$. 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 squar,od 4*xzral9wr9dlb (y3( vjr e 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 $3.1 \%$ 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 is measured using part of a metre rule that ip k abv2nt5-f2s graduated in millimetresa5n2b -ptk vf2, 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 $3.7 \% $ uncertainty in $V$ and a $1.8 \%$ 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 me8 es +5iiwq,nkasured to be $13.8 \pm 1.6 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $4.6 \%$, 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 arb9kn mefw 2w0mcrn /x59 f,x9ie 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 differen4ly u: w1j:z x)5atjlimha6-jce ($V$) across a resistor is measured with a digital voltmeter to be $0.16 \; V$ . 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 ofi/24pk0q1knhqeg ) h8pvss(x the following can be redu4hk 8x sn1pp)/h(sqvqiekg 20ced?

  A student measures a distance four time4nyp49viuo l zro;bup5h7(o 9 s. The readings are 37.8 cm, 37.9 cm, 38.15uo9;7 ivo po9ph z4uylbn4(r cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as folloe1dn zp0 jca hw lib/ g1)cu),r2meh/2ws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two evea ahid9p(r4qe8tr;l 4 nts, a and 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 plotted. Theory stabu1 *aog: ml(pfu1qw3g .if*j tes that P should vary linearly ( il3uop1q1 g* maj*wgf. :ubfwith Q.

  The length of a pencil is measured using part of a measuring tape as shown bap)b;s)j+ vio elowa);) bvp +jios.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Thek9f0r 9h 2fzxe graph is a plot of weight versus mass that includes error r9 zfe029xhfkbars.

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 measured, and the diagram s b/eofgrs y5+;7.x jsahows the measured values with their uncert75ryaof;. bxgsj +s/eainties.

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 uncertaq wzb; a:atn*4666q6,hgcy6pbsbes m inty of 6%. The radius of the spher6 y*pg man6q,eh 66aqstwcb4b: zb;s 6e is 2.7 ± 0.1 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 tha)+c ,l zi*byzikln0azli, 3(ut:
$$
P=\frac{g h^2}{u^3}
$$
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 gm.nq lat7m)ul u / ;l6;cka)ljravity produces the following resultlatq.mc nlllm au/u); 6k7j);s:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measg6c; ; fw2+u e*wjrov.q lha;rurement has an uncertainty of u hjeg +c.2o;* wr;lq6vwa;fr$0.5 \mathrm{~cm} .$

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 mas8 4- ogxy,krth a.hzs7s $(2.0 \pm 0.1) \mathrm{kg}$, 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 zeryj5u:w0h3 g szo offset error. Which of the following statements is correctz u yh3sg0:j5w?

  A student measures a length five times. Al;1.6ako m rmhll of 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 is ys6v6zu34u4k-rtk x m 0y gxp9cut from a longer piece that is 12.6 ± 0.7 cm long. How long is the remaining psg-v uy kr6xku3z 6t4p09my4x iece 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 $\pm 4 \%$. 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 ± 1.2 N is applied to a mass of 2.0 ±c7 7s(nftp w;bomp9zc 8 6bak. 0.11 kg, causing it to accelerate. What is the percentage uncertainty of its679za(pm.ckofb 7c n8wbt;ps 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 ±aqmyw3d e;1hgv;1kp3 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) %