Which of the following could be a unit of po9 xwb k0u,v/epvl, 4qower?

  By approximately how many powers of ten is the height of a human larger t( pia o62won60gw4rs rxm ,qe1han the her smog0aorni, q6ww(61xe 42pight of a grain of sand?

  What is the value of r 1fkb 9.gpjv;sxylbz tf n.u-0m+7*b$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a f0f., ro:4 7)zj g-q svzhliwoxundamental unit in the SI system?

  The volume of the Earth is approximatwga1onkk:n*3 o e;qgq m qs06iqg80i6ely $10^{12} \mathrm{~km}^3$ 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 magnitud)tz+)u w wb07pm* ndyie, the number of heartbeats of an average adult human d)y*0+wuwptbm) i7zn in a day.

  Which of the following contains one fundamental un8,l,k/c /qs+5jjq ki t-.5nvz dqdpkcit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dez46 i8r;bve en62afpx +8z u9yac vmdq8xz(*ncimal places?8v 86rzb8au *qdy ;f 2n+4xexzpzmn(ea v c9i6

  A car has a mass of 1000kg. A mouse has a mass of 10gc x6,ot d1w x *y1zwf3w a/bxwfwi,i26. What is the order of magnitude of6fww3d2 iox*1wwafw tix6 ,xz,/b1yc the ratio between the mass of the car to that of the mouse?

  A train travels $84.6 \pm 0.8$ meters in $12.542 \pm 0.09$ 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 cube with sides of ll1 3txur8zj .$3.33 \mathrm{~m}$. Each side is measured with an uncertainty of $2.2 \%$. 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 sil1 *sq y3(xhsrg8/ vjjde $x$ 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 $7.4 \%$ 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 pencilwug1m2y8qrt4qut r3-4z ta;u is measured using part of a metre rule that is graduated in millimetrrztaq 8uum 4tqg14 yr32; twu-es, 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 $3.8 \% $ uncertainty in $V$ and a $0.8 \%$ 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 is mlpms sl:f1gby4 ;qq 92easured to be $22.5 \pm 1.3 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $6.2 \%$, 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 es04ev*cs( u 1ukuu;xb xtimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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 differenjj; qr/a,:aixd8 tx,hce ($V$) across a resistor is measured with a digital voltmeter to be $0.80 \; V$ . 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 theph5s:ap0x jjb2 ug1ls,8j ; pr following can rspajbsp8uj 2 ;5j0:hpx , l1gbe reduced?

  A student measures a distance four times. The readings are 37.8 cm, h(ssybg,w:+0u9 zmsil/y pet6p 74pb37.9 cm, 38.1 cm, 38.2 cm. What is the best ep(pph/m ssuyi w9 7y6+:sb 4z lg,bt0estimate of this measurement?

  A student measures two lengths as follows: f iz*e*,3cu, pjyctz t/ -jdp,$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a ama-o*k 4 ,xq*qh3j :knwx s+tlnd 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 varie rsjv,(y7f y:es is plotted. Theory states that P shouldy,vy :7(sfer j vary linearly with Q.

  The length of a pencil is measured using part of 0e/9tmxma kh 7a measuring tape as shown below7a hk 9m0x/tme.

What is the length of the pencil?

  The masses and weights of differeotxm1-agk :,qh5x 2xdnt objects are independently measured. The graph is a plot ofda:gqkh2 xo 5,-x1mxt 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 rectangular plate are measured, and the diagram f8u4t 2rwqppzo5 .yfi1tpf: /shows the measured ypwrz :1fopuff 285ttqi.4p/ 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 isfj)0i3fl l 0ew measured with percentage uncertainty of 6%. The radius of the sphere is 5.4 ± 0.3 cm. What is the percent03i)j 0wfellf age uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thxn*g4pgc52 tpat:
$$
P=\frac{g h^2}{u^3}
$$
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 accelerag kw z2i ecy(s*9t7z(etion due to gravity produces the followis (tik*(wy zg7 9c2zeeng 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 l-xar qyy5 b8gei35yc5*p8t4uvs-3,re fh vg ruler, such that each measurement has an uncertaintq i4 cyg xyy- pbv53hr,3uf8egrl*st5-5ev8a y 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 7*n1nq7h y9 cdcvly3ls $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.0 \%$ 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-negligible zero offset error. by)o 3 2f hivjza0o2dlu1g+m9 Which of the following statements is correct1vgazjby)3 2d hu2o 09mfoil+ ?

  A student measures a length five times. All of the measurements lie bdym4 oaz rijv;0. x(u:etween $18.8 \mathrm{~cm}$ 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 ± 0.5 cm lo6 kt+ k ex*az 5,6wvo3.pxftming is cut from a longer piece that is 12.6 ± 0.3 cm xzmx6+f 6it,.3e5 wt*k k povalong. 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 $\pm 3 \%$. 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.y5wz -r6mev75tc vo s0 v3l0ubf )ju:e8 N is applied to a mass of 2.0 ± 0.17 kg, causing it to accelerate. What is the percentage uncertaro73vw z )uv vtbmfeuej06s l-05c :5yinty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire i6uel0lrxnexjl 8h *71jo +q0x s 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) %