Which of the following cx7j53kgzt ym.gbrg ,8ould be a unit of power?

  By approximately how many po0 5e15) h(hvyol cjboswers of ten is the height of a human larger than the height of a grain of)bhh1s leo(o5jvc0 y5 sand?

  What is the value of )9 eumdl19 ybf$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI sc(g40 n. .hklp:q4m bzilc :qcystem?

  The volume of the Eaagy+j 9x(a7+jxjte 6mrth 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, the number of heartbeats of an yzkurb*fhw66 ( q.zh alx: e5j6e b5(laverage adult human in a :jyhwkee 6b6z.b5x 5(r6zllhqf*u( aday.

  Which of the following contains one sak h(i;fl:8bmp w52vfundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculatio:t/sapbq f t4ka2:vy:6ip)m7v1vym vn will give the answer with the most decimal places:b v:m4pyqv 2:tp ayv6fkm /a1ti)vs7?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order oi t6qjsyo r.k6os4 3- ekanj il*;)e8zf magnitude of the ratio between the mass ioqesk ntl;8o)rae. * jz-43 66jkiys of the car to that of the mouse?

  A train travels $48.2 \pm 0.5$ meters in $6.118 \pm 0.09$ 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 of a cq bq5c j4b)+ 0es-dv.b,hmmpiube with sides of $2.24 \mathrm{~m}$. Each side is measured with an uncertainty of $0.9 \%$. 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 squar6wt o bwayec;fegg 6e91y:j0 )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 $9.3 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measu kjc( gnkmpsl,21 me83red using part of a metre rule that is graduated in millimpc mn3(ksj1 ,elmgk 82etres, 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 $6.5 \% $ uncertainty in $V$ and a $1.9 \%$ 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 to bgps hyw60r3m,uou/ a 0k88e.jcg 6wsbe $18.1 \pm 1.3 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $2.5 \%$, 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 wypjkha ig79 9n*/m 0yrg*3x hof a room are estimated 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;e)u; ,i re *miljatq. ($V$) across a resistor is measured with a digital voltmeter to be $0.24 \; V$ . 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 v*dbaw ;x9 /kob l;.x-b-ujd jthe following can be wblbd .;-x9;a-jxu/d k v*boj reduced?

  A student measures a distance four t 7iy*3nhn 18r xtk5z7qkcd:b ly80ycfimes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measi8f *yz dx t7qycy:n5k301rn8c7hlb kurement?

  A student measures two; :kvelpk)3d dc *hp)i15-i z5txasxz lengths 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 toc k1krh5 mk,9bz4;kst 3kbt+hktf3/i 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 a0phstn*u h7 x qpfxfpgg4+.ip* + 4avu3h-p*rs quantity Q varies is plotted. Theory states that P should fga74 hx0i*pfxungvh+su3h*rt*.q4 pp +-p p vary linearly with Q.

  The length of a pencil is measured usijb jd: ay*6l n(*u)bohhm8)bong part of a measuring tape as shown belowaohmnd86 j*lbo*b y)u)(b hj:.

What is the length of the pencil?

  The masses and weights of differeg m81sgsh*6ys nt objects are independently measured. The graph is a plot of weight versus mass that includs 8ss1ygm 6g*hes 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 sidyag 3a 5-a qq3g tr0,h*q;kidkrs)6wxes of a rectangular plate are measured, and the diagram sho kgqwks -r0a5i3)xaqt3d q;ag ,6y*rh ws 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 b0)bawa 5uo -umeasured with percentage uncertainty of 5%. The radius of the sphere is 5.9 ± 0.3 cm. Whatu0bawoab 5 )u- is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasue*+gp( cr7ie shown 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 mea3d2z, f6 j*i23r st.nvqnimcpsure the acceleration due to gravity produces the following nsn,3 fiq23 .pt i*dv 2rczmj6results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measur.)hc0ujb2clzu t n; yy/:lyqtw o(.,f ement has an uncertainty(, ;ycou2 )/:f0 wqnzhy.b.jll tycut 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 mass (nhuch:da:t*v d e)q0$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.5 \%$ 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 f err6 zw hde0uv32bi6ra/8t-yl s66mzero offset error. Which of the following statem2 ut 0zr6b/lh ade -rm6e3ywsv68f ir6ents is correct?

  A student measures a length da,5xew:gn2jsuu ,rn 9v0d7dd i*y8qfive 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 ± 0.2 cm long is cut from a lobz,5y8kgly- m oltjx)h)r c0 8nger piece that is 12.6 ± 0.2 cm long)yh ,8)b0lkxmg ol-8yz rjct5. 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 ± 0.6 N is applied to a mass of 2.0 ± 0.04 kg, causing it to acc.gup wg wo;5k9elerate. What is the percentage uncertainty of its accelogug pw5k.w;9 eration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle rdi;9if p0k x l;(k /c6 oyzinh5fh-2tof wire is measured to be 10.0 ± 1.2 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) %