Which of the following could be a unit o4)ci ab zcnvd:42 4im4y.xg uof power?

  By approximately how many powers of ten is the w9zoi y*t+oud /o.t(hheight of a human larger than the height of a grain of s 9oy o/t(w itod.z+uh*and?

  What is the value ofa(y bajz4 k*a( $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in(f rnhx7xf0; k the SI system?

  The volume of the Earth is approximm3ajb .6vlb.us2cem6ett: s 5 ately $10^{12} \mathrm{~km}^3$ 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 +ocb9 wo+79+ 7 cl 61ip uiobmr7iycyo5-bbramagnitude, the number of heartbeats of an average adult human in a obyb+7 p bc5lom6i9y c9irao1o 7r+i7+b- cwuday.

  Which of the following contains one fun4yfd 6y zs*yrxmtx23+ damental unit and one derived unit?

  If A=10.0 and B=0.50, which c.yxg /-gaeopy/6 x6 sralculation will give the answer with the most decim-ryo/se 6.gx6/y xap gal places?

  A car has a mass of 1000kg. A mouse has a 2b :/hi t(wnp i2q3uo/nvc;rcmass of 10g. What is the order of magnitude of the ratio between the mass of the car to that n2:ithr3/iqu /vc pc o;b 2nw(of the mouse?

  A train travels $34.3 \pm 0.2$ meters in $2.954 \pm 0.07$ 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 mv+a8kt6xm9 c with sides of $4.66 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 mz2 fzr6rc2.4rhlw 3vside $x$ 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 $9.2 \%$ and $h$ is measured to $1 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is mea*v..vm32jp.sihc 1bw p nvf3 wsured using part of a metre rule that is graduated ii3 p.*3njschfp21 . mv.vb wwvn millimetres, 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 $6.2 \% $ uncertainty in $V$ and a $0.9 \%$ 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 mew9;y.4v6cmk wtqz y ecq 9vh:(asured to be $18.4 \pm 0.4 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $5.3 \%$, 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 rooq 9vob42qy72 cunw,tpf j2me(e0* bxom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 differenz:9c9a m0ikntk z3l) cce ($V$) across a resistor is measured with a digital voltmeter to be $0.56 \; V$ . 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 sr rl12rix1(9fye m ;laame quantity which of the following can be reduxa9lryr 1rlef1;m2i( ced?

  A student measures a distance four times. The readings are 37.8 cm, 37.*j ;z(tep/ ;/md 1k-gjmcq dhjoy4)sl 9 cm, 38.1oh *(pj;ldy4t1) qgjcm-dm s/ /zjke ; cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follh0b8-(*rz af d) r;n,gd njbseows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are mld )b7 v,(mclkeasured 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 qua .hulwrb m-nz 5n*)p-fa(wnoc .h5 cz1ntity P as quantity Q varies is plotted. Theory states that P should vary linearly -ln u1hw.zz* 5 m onap5cfhr-n)(.bwc with Q.

  The length of a pencil is measured using part of a measuring j 3vz,tqo q;g 2ccbu.1tape as shown below. 2c v;ouq,bq.3zctjg 1

What is the length of the pencil?

  The masses and weights of different objects are indct7+-/twe 6,g vf4crw wz ogy.a9nx6hependently measured. The grapo+v x7-faw6ng trz9yc,/6cgw.4 et whh is a plot of weight versus 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 rectang(pw 1ke7f6-ffpuvu 4o o/g(wg ular plate are measured, and the diagram shows t u/ooe 7-ffg(u kp(4wwpvg16fhe 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 percentage unce6 0uotvk+ j3nk0egni*rtainty of 3%. The radius of the sphere is 3.9 ± 0.5 cm. What is thn*t6n0 j3uki+v g0ek oe percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hahena8zl*o8q)n (wg :ds 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 prw0fzubep td2h*1 y4ylt0 0g/ joduces the following 2 dt04thzw yle1/f*0bup 0 yjgresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rc vc 0) lssajhu6j50w(uler, such that each measurement has an uncertain0cc j)s 5j(wsh6ula0vty 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 fr )sxm7gitxy2, ,kh:$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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 offset error. Which of the following ce *r p*+xmb tp)z3(yf -1+mdivw al1cstatements is co 3l 1fw-*tb1)cpe(i+mrvc * +xmpd azyrrect?

  A student measures a length five times. All of theui,bcau:7 8 rw 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 ± 0.4 cm long is cut from 6oplx2qf2 1w/i 5a+ sg7kd udta longer piece that is 12.6 ± 0.6 cm long. How long is the remwp1o a s6d ig2lxft+/d5uq 72kaining 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 $\pm 9 \%$. 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 ± 0.20 kg, causing it to acc7(zf)p,1 5i+p8ay+zxdi*sflkbn o atele s* +f8 ) itdaxylzfpn51iokz,7bpa+( rate. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle o32ukvxces8/i oxj9n--u3 wsu f wire is measured to be 10.0 ± 2.2 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) %