Which of the followin*)h0v pbail 8kucve4.g could be a unit of power?

  By approximately how many powers of ten is the height oc/et+wb 6wb k fl:)cv+;aur y/f a human larger than the height of ac6 )y;+//k eawlwbuv:b+f tr c grain of sand?

  What is the value of:f mrur16q48azkg8j m $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundah5hc)ha)4 ).whxt4.sodhea kmental unit in the SI system?

  The volume of the Eartvxx37j;3ns0rc :mmfujy qxc*z 94,z th is approximately $10^{12} \mathrm{~km}^3$ 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 nrrj,g;s 5s 1bf(3e 9gq8 urtfwumber of heartbeats of an average adult ew(ur 8b1, ;3ggjr5t9s qfs frhuman in a day.

  Which of the followingckv s 2lh*g-+eej/ib0 contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the 0ksv8yw* q. ih mdzxl+h1g36q most decimal pm0yxhvs6h18gz dkl 3q *w q+.ilaces?

  A car has a mass of 1000kg. A mouse c +wy4qd)w/zuxr+n 7wo ltius f;, *9ghas a mass of 10g. What is the order of magnitude of the ratio between the mass of the car ;lwqu,nfx/d wro+ug4c9 * wi tz)+sy7to that of the mouse?

  A train travels $93.4 \pm 0.4$ meters in $14.685 \pm 0.09$ 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 s8t (cmud n(umb .n82ht35 dqwvagt -p:hape of a cube with sides of $2.75 \mathrm{~m}$. 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 nbj.5cgs4p z: 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 $8.2 \%$ 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 measured using part of a metre rule that is graduated d dr. dkfra-i4j6),dcin d kcd.fd6-4)aj r ri,dmillimetres, 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 $1.0 \%$ 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 begsb7y ,n05w os $11.4 \pm 0.6 \; cm$. 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 $1.4 \%$ and the uncertainty in $l$ is $2.1 \%$, 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 0v hr4i89;xlwqf ( kjjsm96lyare estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 differensq)x6)pqr 3mc3(nf b-j+lmahce ($V$) across a resistor is measured with a digital voltmeter to be $0.15 \; V$ . 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 quant1s hiphg7lg-bzmcx245 ( i8tgity which of the following can be red21g(4xti 8hg-bi gzs c7 mplh5uced?

  A student measures a distance four times. The readings are 37. ah.6y: wgdhy sqm-h4.8 cm, 37.9 cm, 38.1 cm, 38h.qyg6sm4dy. -wh h :a.2 cm. What is the best estimate of this measurement?

  A student measures two lengths ashv 9(7m+ze8k2 uhfcz y 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 eventslpjrdr-/g/s l.2bzy:h /1 jb*hiz *mi, 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. Thk272d;ubbdd* yqw(( hgfau )o eory states that P should vary li h2* (wg d7; d)dbyfbuu2qaok(nearly with Q.

  The length of a pencil is measured using part of a+m*yv 0*tyrox measuring tape as shown belowxt*yyo0+v rm *.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The get + xey)xgs(cr1l,z c2y:g 8xraph is a plot of weightszrx1etx2y+)e8cg c:x ,y lg( 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 plateuaa ;o61lc a:e are measured, and the diagram shows the measured values wit1 6aloa: ;caeuh their uncertainties.

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 unce jr f o87fe-d.xslgm*,rtainty of 3%. The radius of the sphere is 2.3 ± grdoms,f8.f -j* lex 70.4 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 has sk*m inx:- aqx,2jog*05k kxiuhown 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 )in8edp kdsg : o-kc8.)x+2gwctrgf*followingc.8n x:)+28 f)grkwkids-g p*oe t dgc 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, su *ksxa4rw oj.);7m5d f 6pvdggch that each measurement has an uncertainty475j;s*.pm6 dagdv g)xfw ork 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 masahq :np) s oqe -i20hpjyb1:o*s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ 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 w42f yy(qibf,polri 6m;4,i q9j0nkl. Which of the following statemi,f9,;o y4bilqqj6p(n k0wy24rmf il ents is correct?

  A student measures a length five times. All of the measurements lie betweemp,;/g3 zir. la2 pgaen $18.8 \mathrm{~cm}$ 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 lo 1n swx9e8p zt;r0qlluc8*xb-n(w j4dnger piece that is 12.6 ± 0.3 cm long. Hojqw dt; nwue*l z-pl 98rsbx04(cn 18xw 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 $\pm 5 \%$ 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 applizmc fe 8x, -d:80lsrtoed to a mass of 2.0 ± 0.04 kg, causing it to accelerate. What is the percentage uncertainty of ie88lz-cxsm o,dr:0 ft ts acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire i)ggf-a-/j;;jd xnl;m wm jd/xw+ v)nd s measured 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) %