Which of the followingmap2jb fh:(7k. sdno+ could be a unit of power?

  By approximately how many powers of ten is the height of a human larger than tkv ht4m0 eskl4d+ xz /rw29f+ghe height of a graing9d+ m0 xzrl+f kwhe42/ k4vts of sand?

  What is the value of75il+i+:gd)kl o jtsre 0ub6c $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI ,y;g d*g arpi8fzq 8w( u9sr*usystem?

  The volume of the Earth is approximatelyan)mf /.9az1sm3gdms $10^{12} \mathrm{~km}^3$ 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 ox 9l qpuki-)(;4kob r,zzt /rff an average adultkior, -;zqzt x)r/f ul4bp9k( human in a day.

  Which of the following contcvnzfm p4 od9gwcw4: f942 i-xains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, whig.,t a8wyanuobd-2 u*qmrlq.(xkt 8 :ch calculation will give the answer with the most decimal plac(t:utbyw,qu8gd2k. *8xo-r al.nmqa es?

  A car has a mass of 1000kg. A ,jmarg n,c8:xmouse has a mass of 10g. What is the order of magnitude of the x,cmr,g:an j8ratio between the mass of the car to that of the mouse?

  A train travels $86.6 \pm 0.7$ meters in $10.751 \pm 0.06$ 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 shapx(nto 4um ax:4e of a cube with sides of $2.75 \mathrm{~m}$. Each side is measured with an uncertainty of $2.5 \%$. 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 square base m+8o yi*v ms;myolu1, 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 $4.2 \%$ 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 par a:.d5 57uwpzb1rz uj(fau(vrt of a metre rule that is graduated in millimetres, as shoaap5zbd5ujr1:v. (zu (fru w7wn 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 $6.3 \% $ uncertainty in $V$ and a $3.3 \%$ 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 -9iv wapttb4nh1 - mm4-viu4qmeasured to be $19.7 \pm 1.6 \; cm$. 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 $4.5 \%$, 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 asu.d80+1 ho b;y5xodk0z j szo room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 12 \%$. 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 difference)r*zyv+t166 xemcsxv u ++ rco ($V$) across a resistor is measured with a digital voltmeter to be $0.29 \; V$ . 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 ot0v24v d 8tejpf the same quantity which of the following can be reduj80vev tdtp42ced?

  A student measures a distanc(owb wrma-o( y *fh3np.*9,pkr 3t psd8b etr.e four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thisp.k w - r,oedbs8 fb(nr(ah3*9t py*wpr m3.ot measurement?

  A student measures two leng.xm bmjj2 t203mfbde/ ths 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, a and b, are measured tot98wn xm hlgy2m 6iect.3 w*3k 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 pk ++lbtyw20m. Theory states that P should vary 2t k+b+p 0lymwlinearly with Q.

  The length of a pencil is meaopf1ml17rn9 vdd.-hinj ..e.sn.n jqsured using part of a measuring tape as shown below-noj1m7d p .ljnf9hr.n.v. dnie 1.s q.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Th4 s ca 4pl01lqanwsy:i5t-q)bh ,tq .re graph is a plot ol rthyqint14, 5ws4apq c:s- l.ab)0q f 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, andkmwb:4y y a.gq:.hydk*) 4wjb the diagram shows the measured values with their uncertaintyw.:bmy)4wby* ah4:k kgj d. qies.

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

  The density of a solipxv*nj 647e8v w.drvjd sphere is measured with percentage uncertainty of 6%. The radius of the sphere is 5.1 ± 0.3 pr7 *w.dne8vj6vxvj 4cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has 3 zp pl 50pc)+nhicq:cshown 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 gkm( vsxsh33p-n ta;)eravity produces the following 3s-mxa(vhek stn)p;3 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 ruler, such that each measurement has an uncer2whm h0asq64xtaints2 a 0qwh4mhx6y 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 bz0udqzn9v yp),j0-n $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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-negligibleuiusv/) 2)n jtck*k :f zero offset error. Which of the following statements is cot:f*n )2)jk /uvu kcsirrect?

  A student measures a length five times. All of the measuremg,p:dfx3z 9it l l qvvaz*cjbeg6.08-ents 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 ± 0.3 cm ln,g/g/l hfjq7t:d3wa zqoa 8 5ong is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is the remaining piece8h5naf /,w:g/7daq tqz j3gol 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. 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 ± 1.4 N is applied to a mass (vom+wzy un ; mu)fz-3of 2.0 ± 0.17 kg, causing it to accelerate. What is the pf zv;3unwum o zm+)(-yercentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.3;vke8u (t/9c tb bdmjz f7i:ig8kz+ s0 ± 1.1 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) %