Which of the followi7.ndkhj i+zd) )2hl+4dilma oya mu(3ng could be a unit of power?

  By approximately how many powers of ten is the height of a 0s a a*7j ws3s qikuhe:3/crb3so )6lxrwei/, human larger than the height of a graino33q* eli// j e03:7h wk)subxaarc,w6ssr is of sand?

  What is the value of e)zgdb g)1u00od)pmg$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundam,x1r(jh3 utb(e5e hd x4+gfjmental unit in the SI system?

  The volume of the Earthq-e w0 8tjgk4/f8 n:7ogijvoo 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 ol w/n9 *yrfvg5rder of magnitude, the number of heartbeats of an average adult human in a day.g*lf5r9v y nw/

  Which of the following contains one fundamental unit and one derived un my+ 7: dssrva;kj1t)nit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decimv op w-(4sd-dual places( dpovds -u4w-?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of u +5c*qc4ix3r4wdm mkmagnitudexk m3i+w 5mudc*44 rcq of the ratio between the mass of the car to that of the mouse?

  A train travels $95.9 \pm 0.8$ meters in $3.759 \pm 0.09$ 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 ofmi5nc :8/jqgu a cube with sides of $2.08 \mathrm{~m}$. 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 squaryda5x3 ps780ss n.z sz ku20bxe 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 $5.8 \%$ 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 m: 8.*ozf.imzmwwf.n0u4wgtv h 1 1h pjetre rule that is graduated in millimetres, as1ovmuhmf0wtz1gww. i. :fjzpn h 4 8*. 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 $5.8 \% $ uncertainty in $V$ and a $2.8 \%$ 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 i czx22hp/ cfl+s measured to be $14.3 \pm 0.6 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $4.0 \%$, 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 fl2hu(j7 wfp7a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 dag9 znau)b*wq8ayv 160az .w($V$) across a resistor is measured with a digital voltmeter to be $0.58 \; V$ . 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 fdp8(f9d0, b6xwqlix quantity which of the following can be reducedfd(x68 x fd,bw il0q9p?

  A student measures a distance four times. The readings arupd,ab +)yd9(sntft5e 37.8 cm, 37.9 cm, 38.1 cm, n,d y(5 sbf+a)u9pt td38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follow0 5-oj3i1 dapbcj:t z2hjf3hp s: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a a,b6-z ygfi vk5nd 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 pvmyo /ys .kq*sl f0:l/lotted. Theory states that P sh m:/lsofqsv*0 ykl/ .yould vary linearly with Q.

  The length of a pencil is measured using part ofx9s*,ile9p:: kok no m0p (t)b6behts a measuring tape as shown below)ibm*,9htoe0kxl (9 k:6ns ts:o ebpp.

What is the length of the pencil?

  The masses and weights of different objects are independen flps) 6m2 nn(ybyj:3ftly measured. The graph is a plot of weight versus mass thatyyn3 ff: (jsn2m6)lpb 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 sika ly swy78z f 7nsr4n,9fr0.wdes of a rectangular plate are measured, and the diagram shows the measured values wizws7 r ynnr yalfkf0 .,947w8sth 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 isni w8*s ,n.m0ht t.fai measured with percentage uncertainty of 1%. The ra, ti .mw08if*ahn sn.tdius of the sphere is 5.0 ± 0.3 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 aac-yxt ,mx)ft(y / y,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 gravity produces the follbo 2dpl e;(ld) giw sh,+f9j6lowin; i h+9pl) lsd6 2jfodg(,lebwg 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 that each measurement haa /o -b c,lju+u1g8w;b azybz9)him,ss an uncertainty og, umj8o;z9a+,b)h sa/ 1licz ybwub- f $0.5 \mathrm{~cm} .$

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 massf tm j3-or s.b4cd(l1 ;1akmoz $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.0 \%$ 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-neg jwe0 ,dd6)zqrk5:) dnswubzeb sp. (:ligible zero offset error. Which of the following statements is correc.zw5: 0wuqjbbdp:se() zd6)er dn ks,t?

  A student measures a length five times. All of the measurements lie be8e t(cg ucv/2-8jwm:rn,gpo n tween $18.8 \mathrm{~cm}$ 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 ±8zk)f8nkl 3 kh 0.4 cm long is cut from a longer piece that is 12.6 ± 0.5 cm long.f3 )hz kk88lkn How long is the remaining 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 2 \%$. 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 ± 0.2 a v6ig ck7(vv+N is applied to a mass of 2.0 ± 0.14 kg, causing it to accelerate. What is the percentage uncertainty of its acv76avv k+i(gcceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10ix3 .jtaf,8td .0 ± 1.5 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) %