Which of the following could be a unit of powerqv: ke zu46z. cm-0h7n;r6,e3k o/ jrkgovpw i?

  By approximately how many powers of tnqd:) yyzd la-l82)pwen is the height of a human larger than the height of a dq:wap)ylzd -2 y n8l)grain of sand?

  What is the value ofmmt4)9k)t8kxk 3 (drg, zaifa $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in tsvq-q47l.jpr p r7oj9 ws4v+ qhe SI system?

  The volume of the Earth is approximatey5 ue2t3uxq9 jly $10^{12} \mathrm{~km}^3$ 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 m /:bmff++ojte5 *vinq lg.*d9sq,m dof heartbeats of an average adult human in a d n9.d+:eoi+*s bmdq ffq ltj5mv/g,*may.

  Which of the following contains one fundamental0y66ae elpc 8h unit and one derived unit?

  If A=10.0 and B=0.50, which cal c jjdr** qc2yz5fz8nk/npv.1culation will give the answer with the most decimal ply82 z *j 5qdzn /kvp*.cfcnjr1aces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Whh5o s2s6,8(m kbh*a(,g7kq m gftl objat is the order of magnitude of the ratio between the mass of the car to that of the mobskfglo qam72mg( b oshth ,j ,6(*8k5use?

  A train travels $37.7 \pm 0.7$ meters in $12.335 \pm 0.06$ 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 csgms7c*b+r9l;a(z 2.w,rcas7 c2cigi v 5k zdube with sides of $4.08 \mathrm{~m}$. Each side is measured with an uncertainty of $1.9 \%$. 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 square base ofmo. ky+djej9hx)233 v;p mcxk 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 $5.9 \%$ 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 lq ,1x+rf,hh 2dbg9j3ww f5tprule that is graduated in millimetres, 1ffww h3hrl,52p q9+ djx gb,tas 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 $3.6 \% $ 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 balloon is measured to be hc wkgl2od*t vk77+v0$23.5 \pm 1.5 \; cm$. 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 $0.7 \%$ 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 ahr b- /d/bxhsu pb;n/o0q(f f8jlzj 13 room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 differenc (,xojmm z5sct,iku:09 ssvd/e ($V$) across a resistor is measured with a digital voltmeter to be $0.32 \; V$ . 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 o,bs5pzk4+d(9 zxhxa3q fzu7 af the same quantity which of the following can be reduced+hx pb9d73a z4asxqz,kuzf 5(?

  A student measures a distance four tim3yhn2 8uf1gmc es. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate ofy3 gm n2u8ch1f this measurement?

  A student measures two lengthop2m,rjp3-am u4 po0 j8ijbv z uqa);6s 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 meashbf( 6ea8/ppbured 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.d; rh jvi2fc:nz*eb ., Theory states that P shou efdzri2 :*cbhj.vn;,ld vary linearly with Q.

  The length of a pencn jh:tcohbw( k7 8hbs8s60p4oil is measured using part of a measuring tape as shown belowhp8hos7b8wt (k cbh 04njo6 s:.

What is the length of the pencil?

  The masses and weights of different objecoa r-tvo ws(cwl7 a)09-ybt)hts are independently measured. The graph is a plot of weight )wh -ylvwcta09o a7r (-st)obversus 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 measured,hv3osi*c:+x c5d y t+w and the diagram shows the mea* s xd+3o+5thvy:icw csured 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 meascdnj.*sax fgbp: +0 (mcjv g36ured with percentage uncertainty of 1%. The radius of the sphere is 5.0 ± 0.2 cm. What is the percentage uncertainty in the mass o s*0xcg+(nd pj g. cbf6:v3jmaf the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hac ks1 8feqla(0s 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 measure the acceleration due to gravity produwb (77ryth7uices the followrwhu i(b7 7t7ying 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 z5 yrz6rhn d0:ehpv;1mz0n/y measurement has an uncertainr0/nhz; vpyy0rm d 1e6hz:z5nty 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 mas3ih.kj+p3z jmj)1p 6cih jy+gs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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 ofzx6 nfip(+aw.fset error. Which of the following statements is cixp.6(fa +wzn orrect?

  A student measures a length five times. All of the measl 0eo2jhw, 56 vanav(turements 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 ± 0.4 cm long is cut from a longer piec0ut )9vym57* xze+qry)jzz x ke that is 12.6 ± 0.6 cm long. How long is the remaiv9j) 5 uztr)e*x+0yz7qzmy kxning 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 $\pm 5 \%$. 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 ± 1.3 N is applied to a mass of 2.0 ± 0.21 kg, cau --cwq 32azbmtsing it to accelerate. What is the percentage uncertainty -23mtzb- wc aqof its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to ber + .gferl7ei1 10.0 ± 1.0 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) %