Which of the following v:a 4g26,-i9voysnk sbd h4oscould be a unit of power?

  By approximately how ma.m9; snlwbv c5ny powers of ten is the height of a human larger than the height of a grain ofvlc9swb;m 5. n sand?

  What is the value ofgbg/x, 9 4iuy7 7e(fb; xrgdqji (sh2m $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a funw17qj1zjbgq q2cc/ k3damental unit in the SI system?

  The volume of the Earth is approximatmdp8ho18-wk h ma( )uuely $10^{12} \mathrm{~km}^3$ 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 ocg41.)lpdoz a ol 5k4lrder of magnitude, the number of heartbeats of an average adult 5olgl 4ck lpz)4a1 .dohuman in a day.

  Which of the following contains one fumt)u,jnk+ 4ipz:2ok3tc wa4a ndamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer wi tq udyp 7d+c8n( mc4.lkmjp+br, gt3)th the most decima)rc+dm 7lppm8qy dbgtn uj34+t( .,kcl places?

  A car has a mass of 1000kg. A mouseit ,;; cfdo:yh has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mousehti,;df; y co:?

  A train travels $68.5 \pm 0.5$ meters in $5.858 \pm 0.08$ 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 cue6mgt c7(w4m8i( nw p2yg, vxlbe with sides of $3.15 \mathrm{~m}$. Each side is measured with an uncertainty of $0.7 \%$. 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 b:1s8jahz6393f-fsskcfyr u g dv+8 ik ase 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 $7.8 \%$ and $h$ is measured to $4 \%$, 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 pard a 3n: sl cz4unw//va3t:he7ht of a metre rule that is graduated in millimetre/c::l3n47v3hdu/tan sa zh ews, 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 $6.0 \% $ uncertainty in $V$ and a $1.8 \%$ 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 to bee*-j; kqt pb*q $28.0 \pm 0.4 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $6.5 \%$, 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 a room are estim0 +14rezcpp6m,uw u4 s qqyep-ated 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 difference i- oo. /n0tx(fgkjb3w.lm ua 3($V$) across a resistor is measured with a digital voltmeter to be $0.09 \; V$ . 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 tht3fcxpdq, m2),sv0 gte same quantity which of the following can be redusd ct3gf v,mq,0xpt)2 ced?

  A student measures a d9zw xgf3i-q* yistance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is t wz9f*y3xi-gq he best estimate of this measurement?

  A student measures two lengthkkgl.sec k(/q 7t -xg6s 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 event6+yz* 7*wq:-f l4g9mzk rmfll )elanis, 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. Theo*u ikj+pa8p4 iry states that P should vary li*j+pai 4u8ikp nearly with Q.

  The length of a pencil is measured using part of a measurin utmhkic4: .pqm: ej0bz(7s8v g tape as shown belowmtuz8. h70cjv :p:bkeq i4m(s.

What is the length of the pencil?

  The masses and weights of different :5 w.ahsl*uq7b3 /b jq qm-csxobjects are independently measured. The graph is a plot of weight versus mass that includes error bars w.:u*bxjsmq7/qcsh laq- 35b.

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 diagrau ww9; hs 8irtym,,yn1m shows the measured values with their unce,,rny wtmuh1;ys w i89rtainties.

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

  The density of a solid sphe06q pxu.yh9e14:gjvqjv8kvv1 vzegk v k 08n2re is measured with percentage uncertainty of 7%. The radius of the sphere is 1.4 ± 0.5 yv8kje6v9 gk1vz h enqvx28k001v u4. vqg:pjcm. 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 ,;bjqgw- buxvre6 h.na6*. skhx24 rj 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 grawvg)/4ax,qve yn yp;5vity produces the followigy/n;4q wxa) v, 5yevpng 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 eac -uk2mo/old o,h measurement has an uncertaintd-kuo,o2/ ol my 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 wx9byiod5n;yme5;8nl q q n04$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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-negligible zero offset error. Which k 8bnaa, xo /9c1em5n3t.dyjvhjy6q6 of the following statements ib5jy3,a. tq6 omvehad9cnx y k/j16n8s correct?

  A student measures a length five times. All of the measu/clv2*feop+wu .h d s7rements 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 cutrwlqznud*. d4 y cfg: vr+r-*6 from a longer piece that is 12.6 ± 0.3 cm long. How long is the rem*nr. 4 du fd-wlq r:g+c6zrvy*aining 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 $\pm 2 \%$. 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 ± 1.3 N is applied to a mass of 2.0 ± 0.o95idozbvg: ka* 34t x04 kg, causing it to accelerate. What is the p 4ak zt9vi*3g:do5boxercentage 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 10.0 ± 0.4 cm. fwd02)t 4nirw6xkfg)
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) %