Which of the following could be 61lh8xatus n c7cx5k) a unit of power?

  By approximately how many powers of ten is the height of a 1 k8y46/tpc w)mvpsogq8tud+grk)5p )gh c k8human larger than the height of a grain of sy6 kguk/c gth1ct+k8pvrqp5 g8))8od4m wp s )and?

  What is the value of q11u *5 93jeeeeqku xh)k do7u 5cs5pu$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a q4/slp8p..e6ssq n4 yt mm-fx fundamental unit in the SI system?

  The volume of the Earth is ap b hdb tvw7;pi31q6pj8proximately $10^{12} \mathrm{~km}^3$ 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 heanw- (eiwsk ka0*d:p(vrtbeats of an aver :ikpnvk(0 -ewsw*(daage adult human in a day.

  Which of the following contains one fundamental unit and onrp;c 69f, mwjdwv rl6)e derived unit?

  If A=10.0 and B=0.50, which ca9g8kq6n7lik j lculation will give the answer with the most decimal places knki 789gjlq6?

  A car has a mass of 1000kg. A mouse has a mass of 10g wa 00gtvssjlq/l01a2 . What is the order of magnitud ssjg/l120t0alavqw0e of the ratio between the mass of the car to that of the mouse?

  A train travels $71.3 \pm 0.4$ meters in $5.513 \pm 0.09$ 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 ijz gv9ucle z/gm-2:ldw7+oj-d 5q*vcube with sides of $2.55 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 nxfe yi77p (v6of 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 $9.9 \%$ and $h$ is measured to $6 \%$, 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 u l2gx10qkw -rz5.xwx part of a metre rule that is graduated in0uq-x.2rx 1ww x5zgl k 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 $5.1 \% $ 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 measured 8c a9h9jtff1nto be $18.8 \pm 1.8 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 roomxnsu-tb ,(kvnprhpg6 u (62t2 are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 3wh1y7 a)xu.cfc 7rdtence ($V$) across a resistor is measured with a digital voltmeter to be $0.66 \; V$ . 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 quantio9;: id011wmpck iwd ino(c3p ty which of the following can be rewk 3; iwp1oidmnpo9i1 (: 0cdcduced?

  A student measures a distance four times. To jii4 7ojoko luwf0im1(v571he readings are 37.8 cm, 37.9 cm, 38.1 c (ouwl 4ifo7 5jkv71mo1oj0 iim, 38.2 cm. What is the best estimate of this measurement?

  A student measures two l+ e(p)sqk0 vlyc9lo:e*a 1yt uengths 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,wjktr:w;,l m1 a and 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 plotted. Thoumk .wid:cg7-h z ht h v.e/,62qg1uzeory states that P shoulw.h1z,oz-g:u e g6 uvkqhic. hd2/m t7d vary linearly with Q.

  The length of a pencil is meaby8t;b-ajt f o g9+cx-q cx1e,lp o-9+/svnlwsured using part of a measuring tape as shown below.o 8sao9lebxc bjw q gxf/-v+y+,-; p91nltc t-

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The gv*6kh ku+4jgw raph is a plot of weight versus mass that includes erro4k hvgu*j6 k+wr 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 diagrask+a6e lvb ;4b(p s*fe m3 lgf:hu3x5pm shows the measured values with their 4kf6m:5p+sf 3 (lbx3halevgup; bse *uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a soli3b/up-dm j-nmd sphere is measured with percentage uncertainty of 4%. The radiud 3-/jmmpn-bu s of the sphere is 2.1 ± 0.1 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hakulu7h0gs 6w f :n0ez.s 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 produces the follom xs pf8bw t***.ckpg)yl q4r*wix m*rf.s tc*84*pp) ql*bywgkng 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 ru3 ms wt;j6jjso8 q26joler, such that each measurement has an uncertaino2j jq68 mosj3t;6jswty 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 mas0g8 yh fca(s9lp , n:jxa+,og7z ftf2qs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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-negligibh(zb nj5md /kp08 hyb+le zero offset error. Which of the following statements is co5/ ymhbn 8p+ jdz0hkb(rrect?

  A student measures a length five times. All of the measurements lie m vy1+lo( nn 6udeu*c,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 longer piece that is 9z,;squ s3(xweet c0 tqosm5(r1: zld,lbk r212.6 ± 0.6 cm long. How long is the remaining piece of string? ,10:m;eeq 5 rwzu3d2s(k(,zrcto9ltsq bxsl

  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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. 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 ± 1.5 N is applied to a mass of 2.0 ± 0.22 kg, causing it to acb:g c1iu 9syze(tp3p + w.9gywcelerate. What is the percentage uncertainty o9.gs+ep(:pi1ww b9u g3t cyzyf its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is meai0a+ sjou5*n xy nl4b3f1xo-d sured to be 10.0 ± 1.9 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) %