Which of the following could be hdo*oq*.itbar.,gwr9 +mh35mvh k+ca unit of power?

  By approximately how many powers of ten is the height of a human largqy1xzu b2mke5;,rekp6bb,, e er than the height of a grain of sand? mbueyb,6;,qexr ,bz1 k5pek2

  What is the value of /6+snl0yl,2 ;x5de wxraahj l$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in th q-fhmk*nl13 qe SI system?

  The volume of the Earth ig pay- k-mh.)-pza,.sn e/2 nsm c5yoes 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 mki*1yum;j::ie d9 tdg0hh5 s gagnitude, the number of heartbeats of an average adulii uj;:dg*05tgd mhh yk9s1 :et human in a day.

  Which of the following containsr 0 :jx3)mhs 4vmw*zhw6akmf. one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most ef,yp)p i+ 0s5qe sbjcy1zm)- decimal plap)-szcysbee, jf+1m)p y5q0i ces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the orderf 4n02 em*kdv1zgeks7qcfo 3 vxe8-;j of magnitude of the ratio between the mass of the car to that of the m c2nx e7 ekv3djf8fvqks -0o *;4m1gezouse?

  A train travels $69.3 \pm 0.6$ meters in $11.292 \pm 0.08$ 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 sidjd va19s*ehi ( 2ra2yzxa7l2oes of $3.55 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. 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 squar1cs+fn w q3f449 beprze 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 $9.4 \%$ 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 measured using part of a metre rule that is grad/76a5g0q z:inh3g :yl7imt sch vpwn 7uated in millimey :i7gi/hlzg5t7a cv37s pn w n6:m0qhtres, 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 $3.0 \%$ 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 mlm 2,jchc5hp*6vb d6pq:l x(l easured to be $16.1 \pm 1.1 \; cm$. 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 $2.7 \%$, 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* sak))+ jp5r szwz9 a7x.glai estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 differ 9f1;jvjj 6(d/surkmm ence ($V$) across a resistor is measured with a digital voltmeter to be $0.34 \; V$ . 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 qua:fx0c7 qoetr6ntity which of the following can be reducedqf 7txeo0rc:6 ?

  A student measures a distance four times. The readio;md)9suc li/ngs are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this me9)l; msudi/c oasurement?

  A student measures two lengths as follow6ud 7s kl saqd:h-lg;v/6h 0tus: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a an*b(x; ad1t hzwd 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 plott1z/tzvd u 7cny3x:hji2 7a+ amoh 3bw;ed. Theory states that ytb hc3 +dnw7xz ahu/:a i1v3 m7z2;ojP should vary linearly with Q.

  The length of a pencil is measured using pkuaw r3wen(3*) e+t hpart of a measuring tape as shown below.p*k )n3ehwute ra+(3w

What is the length of the pencil?

  The masses and weights oeyz 6w 4*se;ndf different objects are independently measured. The graph is a plot of weight v y;zes*d6new4 ersus 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, and the diagram sh.+wpp:6rw,qi eb.jcj mvi40v qx w75kows the measured vai +5rjq0qb wxp j 46.p:. mk,ivvce7wwlues 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 w5fjpsj(mdo5 : 2dyls fb,w5i/ith percentage uncertainty of 6%. The radius of the sphere is 4.4 ± 0.3 cm. What is the percd(i ysw 5fj dol5:b25j,m/pfsentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:+yc xm t4i6n/c
$$
P=\frac{g h^2}{u^3}
$$
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 gravi4s9fh9mqmvt(naqc ( 7ty produces the following result(tqfnvs(qm9 a7 hcm49s:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, sucx9:5(q5umn xk hvjeic; lpy /,h that each measurement has an uncertaint k mujcxp,eqnh/;y:v 9xi 5l(5y 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 mas et g2xl9;yr6c5yp9 tss $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ 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-neglig3en8i2 xhind56zt)ec ible zero offset error. Which of the following statements is co38ntxz)c 6ein d5eih 2rrect?

  A student measures a length b,g.-6od ic/p;owqlc five 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 ± 0.1 cm long is cut from a longa15 7:cvwulz rer piece that is 12.6 ± 0.5 cm long. How long is the remaining piece of str:aw1zcru 75vl ing?

  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 $\pm 3 \%$. 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 1piu,v a gc+t6luf.1cw+l2wt to a mass of 2.0 ± 0.22 kg, causing it to accelerate. What is the percentage uncertainty of itcu1au2fw + ,lp w.61ltit+v cgs acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is mt;e+ org9h yq8 8ha.gyeasured to be 10.0 ± 0.6 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) %