Which of the following could c cta 27ca- xqcdcy mj.(o)r;-be a unit of power?

  By approximately how madv :igls*xz1i k7-a )kny powers of ten is the height of a human larger than the height of a grain lkkix-7 i)s*g: vaz1d of sand?

  What is the value of n uy;xexf d+..$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following ta kw dvf o3,vtxl4 9u5mz1 1g6.ztg,lis a fundamental unit in the SI system?

  The volume of the Earth is approximatelys/9/ lc(vayd4aw*,kk7jupa i5 0 pgjc $10^{12} \mathrm{~km}^3$ 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 numbr*ftz36p0 yhsg.de k 53tf*kber of heartbeats of an average ad*bkkz hts3e5f*yt f6r gp0d3. ult human in a day.

  Which of the following contains one fundamental uni *we1w) bhgu 0wji2t(ct and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most omy9ypd-we10k r(7 t rdecimalwky oert (1md0 y9r7p- places?

  A car has a mass of 100crw(ce pkt(0 s3leq+ow +e3n70kg. A mouse has a mass of 10g. What is the order of magnitude of ther3+3c7l 0stq(cwp enkwoe(e+ ratio between the mass of the car to that of the mouse?

  A train travels $87.0 \pm 0.7$ meters in $6.072 \pm 0.04$ 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 shapexrr5qn,3u .+e8 aaweh of a cube with sides of $4.55 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 lcrtuog3 ppjc4 :.o1: axw 1 5mm(yk(pof 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 $3.8 \%$ and $h$ is measured to $3 \%$, 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 graduoso*4 c/:yjt aated in millimetres, as shsto:4jy o*/ac own 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 $4.6 \% $ uncertainty in $V$ and a $2.9 \%$ 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 meas ja u3azn)3;qrv5(a rjured to be $23.7 \pm 0.7 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $4.7 \%$, 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 estimatefk i qkk, r/xl19--aukc* e.tgd as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differenqi9ej )vm+pm5f pv0c3ce ($V$) across a resistor is measured with a digital voltmeter to be $0.31 \; V$ . 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 the1phf;s,((nqh i*ehw i following can be redh n;q,hephi 1*((swfiuced?

  A student measures a distance four tib7l cnlh 5js(+w7-uidmes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimatb(snc7 +-wudl lh57jie of this measurement?

  A student measures two lengths asb8s)**xt yj 6vyqu 5ur 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 mbdbt7jmfgr;tx6:42 teasured 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. Theoryxk( a(9 iaohr. states that P should vary lineaa(ikr(.x9 oharly with Q.

  The length of a pencil is measured using p 2c;.-)x7skv lauvshjart of a measuring tape as shown below.v.s-xa2sj)uv7 hk c;l

What is the length of the pencil?

  The masses and weights of different objects are independently me0wr +-yvs1jb4im5 r qb68 cmtyasured. The graph is a plot of weight versus mass that includes er -4i615bmcwsqyj0 b8ymr +trv ror 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, 9,+on ot(9:w/: mpffabmnr7se s3 clf and the diagram shows the measured values with th7w/p sf39 nmo:elcfoam :+t9,(bsfr n eir 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 uncertainty z8h ns(vtg)jp.0r +eg of 8%. The radius of the sphere is 2.7 ± 0.4 cm. What is the percentage uncertaintyg(z)0.t +r vegspnj8 h in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown t5b72v d j:lzyyu skl,5hat:
$$
P=\frac{g h^2}{u^3}
$$
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 prlzxm, -.upk2 b2p bwc)+k/m zpoduces the following resul pxcp pzwk,m.)ukl/m22bz +- bts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usiny zz7ux*:lt n4 hyx4/ky.2dj.gs5el i g a ruler, such that each measurement has an uncertainty of. yy*x:n 4. j7ld5utz/eygxh 2i4lz sk $0.5 \mathrm{~cm} .$

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 5 m q,,gssm,r4krml5r$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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 sta2yl:) 3gartk atements is corr3yg tl2a)akr:ect?

  A student measures a length five times. All of the measurements lie betk/:1un:kqzn g ween $18.8 \mathrm{~cm}$ 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 21tf szoa7 6his *w:hnfrom a longer piece that is 12.6 ± 0.3 cm lon17z:hw6so si f*nta2hg. 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 $\pm 3 \%$. 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 ± 0.4 N is applied to a mass of 2.0 ± 0.05 kgl,a a4qv-igidj; rl8us uj(*:, causing it to accelerate. What is the percei;dlq la:8j4 ivg- r(a* ,usjuntage 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 10.0h wzxo)s 3.gg. tn:tjr8v.yc 2 ± 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) %