Which of the followi sldc;l.h bs:cxm/ 5oeq2u+8lng could be a unit of power?

  By approximately how many powers of ten is the )wfqs/5 yteb8 height of a human larger than the height of a grain of sand? ys58)wtefqb /

  What is the value of-22yx h l71mjm zflex: $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI sys)qo,sfuysh 1a;4w q0q tem?

  The volume of the Earth is ap3lmrq -*msl5 cproximately $10^{12} \mathrm{~km}^3$ 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, (ub /7(a fxvl2,l:sryiob)d xthe number of heartbeats of an average adult huxdao7/)xf(:2 v r,y ilbul(bs man in a day.

  Which of the following contains one fundame vci ,oce0zg7,ntal unit and one derived unit?

  If A=10.0 and B=0.50, which calculation wki yd:k55be 7ylpk 2a+ill give the answer with the most decimal y55lpkeiky + b2 a:kd7places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is thjnh(4ok-qz 4z:p.tl yacd4u:e order of magnitude of the ratio between the mass of the car to that o uz4lc :4:tdnkyj -.(zohq4 apf the mouse?

  A train travels $82.6 \pm 0.2$ meters in $10.298 \pm 0.06$ 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 shape of a cube with sides of y:4s--jr(ztiiy;v s b$4.54 \mathrm{~m}$. Each side is measured with an uncertainty of $1.2 \%$. 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 side fvj)f gjc2 4:h3; yipyff-fqtq / /d(x$x$ 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 $5.0 \%$ 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 metre rule that is gradu/jk f s:ps/x1aated in millimetres, as shown below1k /j fsps:x/a.

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 $4.8 \% $ uncertainty in $V$ and a $2.7 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballq02dj-se a z:ioon is measured to be $27.7 \pm 0.9 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $6.1 \%$, 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 o )hmsxi6xsx:m*6 l+o are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 difference7du bzboh:) 2a ($V$) across a resistor is measured with a digital voltmeter to be $0.13 \; V$ . 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 mvj 7io:rt,5c4 456vdvksw fmof the same quantity which of the following can be reducer vm4jv54 :fk75omtv,w6dscid?

  A student measures a distance four times. The readings are 37.8(+sjjao 3(v/ mzozp t, cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the b ,m(osv(ztaj z jpo/+3est estimate of this measurement?

  A student measures two lengths as follows: uuq ex- n91*bc$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two eve5s-o a.u8piu5rf vjx0nts, 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 plotmfi do :+iphv*; +phh1ted. Theory states that P should vary +:ohp; ihd+*vimfp1 h linearly with Q.

  The length of a pencil is measured using part of a measuo x xq4;zi)4dhring tape as shown below.hx xz)d i44;oq

What is the length of the pencil?

  The masses and weights of different objects are independently mny p*3u gbq 5yvk,*tz+easured. The graph is a p q3,vb*+5u tykzgn*pylot 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 rectangular32ar lup:v )wjh(z/rorhs5 (b plate are measured, and the diagram shows the measured values with their uncertai(2rj/:b ) svhorwluah (3prz5 nties.

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 percentace;j 703wwz rgge uncertainty of 5%. The r7 3r wwcj0;gezadius of the sphere is 5.5 ± 0.2 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 has8 /rl(gyz0xrt ixv7;jc n32t 4uzh et/ 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 meale3w-p0 nvs*a sure the acceleration due to gravity produces the follo- n ep03v*aslwwing 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 meu,ivufas8 j )1rcoh2-mq2zl/ asurement has an uncertaintyuo8fa2,his/qz-2 1 lj)cuv mr 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 )wio5jh x8kgijt, z8m.xm; 7y$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ 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. Which otev1yi4qj+1b ,*.qref/ usc c7vobu5f the following statemir tc. +1soe,yu4fevqjbuq 5v* 71/cbents is correct?

  A student measures a length five times. All of 6t3zknrg p lyv67 -n*qthe 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 a longer piece that is 12.,(top v/blllk iw2)bvb3eu+;6 ± 0.5 cm long. How long is the remaining piece of stringb;2 )v,+bl( e3t ulkvwp/ ilbo?

  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 $\pm 5 \%$. 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 ± 0.2 N is applied to a mass of 2.0 ± 0.01 )k xksoy;-ji*kg, causing it to accelerate. What is the percentage ui*ojsk - )k;xyncertainty 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 1stn/gr:jj1 rd ruyvv) .;6:jb 0.0 ± 1.0 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) %