Which of the following could be a unit of powerkp i0iu,n;r6f?

  By approximately how many powers of ten 529nkr fdy/i pj-tbr1 is the height of a human larger than the hei9rf/yr 5- i2tdjpnkb 1ght of a grain of sand?

  What is the value of . qwr5 )rp8psa:lz5ms $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in thsevo au; 1s4j;e SI system?

  The volume of the Ea1vy/:a vya v:nrth 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 order of magnitude,-(t,jdsgh (q g75gqt*zb q+ yi the number of heartbeats of an average azgqidg t-7(tq5 (q*b+,h jysgdult human in a day.

  Which of the following containb 2:, wklxs;.ckfg;o( r 6omohs one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give trck(d/3ltaw 4bu2nfd 4o+m8x he answer with the most decimal places?dbno+xd4/3 4(l am8tfru2wck

  A car has a mass of 1000kg. A mouse has a mass of 10g. What s/s o5qs.omz:h) jm .gis the order of magnitude of the ratio between the mass of the s q: zo 5s)mgm/.hoj.scar to that of the mouse?

  A train travels $71.1 \pm 0.4$ meters in $4.263 \pm 0.05$ 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 cube with sides oeh-vhgf*6(sz f $1.84 \mathrm{~m}$. 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 base of s -nojzhe i:y):ide $x$ 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 $5.1 \%$ and $h$ is measured to $6 \%$, 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 2i5k6sm 1p-r y50gjsdu mpu3h part of a metre rule that is graduated in 6 p5hru0mp25 s3jskymd-g 1uimillimetres, 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 $4.4 \% $ uncertainty in $V$ and a $2.3 \%$ 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 xiept,iwncq 4esuc ( ;/2a *d7is measured to be $15.9 \pm 1.2 \; cm$. 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 $5.6 \%$, 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 are estimated vl ,z )9riays4q8pa 9jas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differensr i 31k fow,tm2mqv:4ce ($V$) across a resistor is measured with a digital voltmeter to be $0.11 \; V$ . 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 of the fx 34gd-w+iym:6u my 51kivjlx ollowing can be relxmx+kd 1gyi6mui j4y53 - :vwduced?

  A student measures a distance foux pw4 mdi0m9te;kr,:br times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measu9:mt,e 40dbwi;m xprkrement?

  A student measures two length-3 xur p;ixe .l (5qal+*k:jac0fwolk s 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 measured to5 s* zlxtor77ewd3p,ikq t14i 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 quarm f/vp/60* x;dzi 9vj* yjkwqntity P as quantity Q varies is plotted. Theory states that P should vary line/*mj;69pykrv/f qi wjxdz* v 0arly with Q.

  The length of a pencil is measured using part of a meagpw h1uf1 slui(2 zp34suring tape as shown belowif2(pp u1l1zw4hu3gs .

What is the length of the pencil?

  The masses and weights of different objects are independently mv0d g1i(;bnzdeasured. The graph is a plot of weight versus mass that includ0d(zbnd ;vgi1es 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 rect +r(:bc4p bhm yxre9x(angular plate are measured, and the diagram shows the 9p(xbm+xhr(4eyr :cb 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 percet9ro) 4ty n-6 62/iedpqrgjs fntage uncertainty of 5%. The rad )e ysgjo9rd64 q-pftn/ri2 t6ius of the sphere is 2.1 ± 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 that, ;dv3ex4ejnh:
$$
P=\frac{g h^2}{u^3}
$$
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 toh0m c)-* 4yp5cvuvm e;l q4izo gravity produces the followingy50v4)o-vcihmm4qup; z *ecl 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 thal8n*tvlz) / 6 3xqssbdt each measurement has an uncertainty oflv/sb8)x n3dq*sl t z6 $0.5 \mathrm{~cm} .$

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 mass(d wnwq9ve,.o $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.2 \%$ 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(*wv.nfxm 9ptug e:fai7 de),-negligible zero offset error. Which of the following statements ispe9au7 *fn wdx )i,f me(gvt:. correct?

  A student measures a length five:h(mo; f t1;dqo ;trvz times. All 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 lonf:kvpd mf;p ;un -o:g)g is cut from a longer piece that is 12.6 ± 0.7 cm long. How long is the re pv)-p:d :nokm;f; fugmaining 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 $\pm 5 \%$ 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 ± 0.3 N is applied to a mass- l;i-nk uh5lbyq-+vs of 2.0 ± 0.20 kg, causing it to accelerate. What is the percentage uncertainty of its acceleras- k;+q-bi5yl-lv hu ntion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 1 m4i (6bk f4y)qcj,zmub/c(zc0.0 ± 1.1 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) %