Which of the followincvsdw*jq d: 8pv/(gy;+g 3 tnog could be a unit of power?

  By approximately how many powers of ten is the height of a human la,d-trzbox 9 1irger than the hei r9 -tixbo,1zdght of a grain of sand?

  What is the value of 1jc8gcf1 gr*jbm;,ow9ovd :zj,k g, p$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is0 gwlakktx5 cn(pd)m++s 2 ;kshftd.6 a fundamental unit in the SI system?

  The volume of the Earth is approxim n,u8szy.n xnd+8bs5l5l ;v nzately $10^{12} \mathrm{~km}^3$ 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 averf a o/9frl6;mcage;9l6orf/ cmaf adult human in a day.

  Which of the following contains one fundamental unit and one q re/ .jpcxjzzo/(-;ederived unit?

  If A=10.0 and B=0.50, which calculation will gic8 by yy8j 1qa)n0bx6qve the answer with the most decimalab8 q0cn qby6y j18yx) places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What i0: pqldp)u/64syk qim s the order of magnitude of the ratio between the mass of the car toqidp6 4ks/yqml pu0 :) that of the mouse?

  A train travels $42.8 \pm 0.6$ meters in $10.938 \pm 0.04$ 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(g a (o6rm*l48mshd we $4.10 \mathrm{~m}$. Each side is measured with an uncertainty of $1.5 \%$. 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 squar be8nb2aw6zl7e 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 $8.9 \%$ and $h$ is measured to $2 \%$, 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 me )k sd3 bqi 1cl*.: p;prjjvp9u+0ivfxtre rule that is graduated in millimetrl r3c;*pkp.vvudjbfp:9x +)i 1s qj0ies, 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 $5.4 \% $ 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 balloony; imhyy dfrzkaug4f u/5;w 1p/m*t,+ is measured to be $12.8 \pm 1.4 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $2.1 \%$, 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 estimated aukg v y7gx(q.ozoc(,:s $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differen5, ,s pw2sqjuq 1d- ayk4;odetce ($V$) across a resistor is measured with a digital voltmeter to be $0.60 \; V$ . 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 the following ca 6;gpb ihg rkvaih,-/ine3*:fn be rekn v i3/, gf;bpe-g*i6h:ari hduced?

  A student measures a distance four times. The readings at) -yn zof17 ynsiat5fdkf;(.re 37.8 cm, 37.9 cm, 38.1 cm, 38.2yf f fn)s.y zodn 71(kit-ta5; cm. What is the best estimate of this measurement?

  A student measures two lengths as fo uxs*d7,onzj 2; x5d+p4tfhlnllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a andvv.p(t cn-ru9 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 quanm))q7v1uz: h- 3hyfqqemqx)z tity Q varies is plotted. Theory states that P should vahq fum13xze)7)m yq)v h:z-qqry linearly with Q.

  The length of a pencil is measured using part of a measu 8-qr4le pdzg(ring tape as shown below.d4 pe8(l-zqrg

What is the length of the pencil?

  The masses and weights of different objects are independently hf8/gwcs8vg +cw- ,e q .ar,a9ub(yexw+6jlz measured. The graph is a plot ow g/gx zh .c9++8(aeer8vsb y ucj,w6lq,a-wff 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 me4r+twpowa :3k;a2zgpasured, and the diagram shows the measured values with their unkra; zotp:3a2w 4p gw+certainties.

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 uncertaiit8xx8se0 0 n,ji r;io.qr/ranty of 1%. The radius of the sphere is 2.3 ± 0.3 cm. What is the percentage uncertainty in the mass of thtq rje,i.xi/ r80i;r n8sx ao0e sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:j2 lc a*z3bw/7xc2ba l
$$
P=\frac{g h^2}{u^3}
$$
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 acceler2 8qb2s1jierqnj r 1;w :u8h)6bjue umation due to gravity produces the following resq;1uu6r1s2 jub ) e2jnw8:jeqhi mrb8ults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usingzb(rm olsi.1g8q5 91 v3 g9y )jgfxsav a ruler, such that each measurement has an uncertainty iq.)lvfz r 1s5y bxajggov3 sm19 (8g9of $0.5 \mathrm{~cm} .$

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 gghke-ll(u2f -f-(nms $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.7 \%$ 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-negligible zero offset error. Whick lzf34wgfb;d/ovwrd v+ (1/mh of the following statement/1/lwf d( rwmkfodv +34bzgv;s is correct?

  A student measures a lenez3or2 p( ;mhlgth 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 ± /xjkxmluy**z6 5 h8pqo1crl70.3 cm long is cut from a longer piece that is 12.6 ± 0.2 cmz**56/pkl7myr olqjxx8uch 1 long. 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 $\pm 9 \%$. 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 ± 0.6 N is applied to a mass of 2.0 ± 0.01 k u4 ozdy00ytz.g, causing it to accelerate. What is the percentage unc0u. d0z4yy tozertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle opwmani)a . zwg;)h1 g,f 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) %