Which of the following could be a un o w g0jm a7-n.9jhedl2t0rc2iit of power?

  By approximately how many powers of ten is the height of a human p:i 23mk:8v j,ht6mg(m uv mw1h,bsvk larger than the height of a grain1sk: p m 3h,6gm :jvm2ihb8vkwutm(, v of sand?

  What is the value of nn,7bl:u t.kwid z.c;$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SIfc 6- gcxr*s-+ozih0g system?

  The volume of the Earth is approximately 8epqogj0ol:k/2 bn7d $10^{12} \mathrm{~km}^3$ 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 a rw6/kw7h,ttvverage adult humavh/wr, w7kt t6n in a day.

  Which of the following contains one fuw82 hxt lr*-w7ulaq g5ndamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the ax/- p4by dso2c/b4 crsnswer with the most decimal bcc/x/r 4o b- pssd24yplaces?

  A car has a mass of 1000kg. A mouse h k0ldhw s 129gh.wv-dfas a mass of 10g. What is the order of magnitude of the ratio between the mass of thedhd9- kw .lw2vsh0fg 1 car to that of the mouse?

  A train travels $81.7 \pm 0.7$ meters in $4.851 \pm 0.07$ 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 csn)+k.k p ;uy8td* bmdube with sides of $3.68 \mathrm{~m}$. Each side is measured with an uncertainty of $1.9 \%$. 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 squarpg+-.vp v/v;yol)gajr 9f(cpv q k1* 6zig+mle 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 $9.1 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is meegd0-dx1fek 3 asured using part of a metre rule that is graduated ixdefde 3g01-k n 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 $3.2 \% $ uncertainty in $V$ and a $1.9 \%$ 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 meapdd .-( mnr;roc35rabsured to be $24.1 \pm 0.4 \; cm$. 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 $0.6 \%$ 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 estimatmzsuhy trc,- s8 ( uw34z*bvm/ed as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 difference ( ;acgs-8n omwg+p:5 fh$V$) across a resistor is measured with a digital voltmeter to be $0.53 \; V$ . 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 k-sr7 6-xc dsythe following can be redu-7ss 6-cydkxrced?

  A student measures a distance four times. The reading auf sgi:0.fr:s are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this g0afrf:s :ui. measurement?

  A student measures two lengthsw (;: guazdt27gizx9r 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 )cqxt g64 ma(0z8mnfzvcp 5z5b, 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 w5i p-fnwra2 qee8 c1ik /0;rrplotted. Theory states that w;we2qa15i 0cp/r -f enrr8kiP should vary linearly with Q.

  The length of a pencil is measured using part of a mnvr+whg, s54od z2ux9 r)7ucl easuring tape as shown below.v ughxzu9dr 4)wo +sl57c,2nr

What is the length of the pencil?

  The masses and weights of different objects are independentlyn1zazp .9g:,utue b2s measured. The graph is a plot of weight na .29ug:t1spue zzb,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 diagru;eb2-3np b /c bh8zwram shows the measured values with their uncert2 n;bruze/b bc-38hp wainties.

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 uncertaintyliyqb7 3jn- la0m yjd*dw+*v 2 of 7%. The radius of the sphere is 1.4 ± 0.4 cm. 0d+3* vdw*jymqi2l7ablj y n- 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 shown the. s6qg mkkxu1a58 jg aryk6.7nk)a 2iat:
$$
P=\frac{g h^2}{u^3}
$$
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 t ibk ,8/jaebx.ota,t9 zai-z7eto ,( wo gravity produces the following results.7(,bz,it8 ewaa x/ztjb a- eiot9k o,:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measpa/ 2en9bnh+z f(l +z;um5 lyturement has an uncertaint5u+ltahzzb/2e(f np +m;9nyl 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 mass rv lt/w3b n,,h$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.1 \%$ 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 of the following statupqo6xatmz*-+t :gj pb ;bg56ementsxg:ubb;t-ap5t+6z6pqm oj* g is correct?

  A student measures a length five times. All of the meam.n01b9c 1ir;m uflv qsurements 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 ± ) (guep*q bmmnqy e+6fk/me,) 0.2 cm long is cut from a longer piece that is 12.6 ± 0.5 cm lf mm,q/n eg)bm(6 +*yuekpeq )ong. 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 $\pm 3 \%$ 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 ± 1.1 N is applied to a mass of 2.0 ± 0.01 tqc8; 0l dcu)zuyy 63zkg, causing it to accelerate. What is the percentage unc0z)t68c uq3yz;du l ycertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured+ d ,q)ra(un)snqp e6p z.dui/ to be 10.0 ± 0.8 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) %