Which of the followinkfj0lb3a di6hj5 hn-f9m/kw ugx8r8/g could be a unit of power?

  By approximately how many powers of ten is the height of a human largercv3e 6.ws,8 atiyj)db than the heighti,c a3dve j)t.by6sw8 of a grain of sand?

  What is the value of7 jutt2x a5gg9s;uz7f $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followinjk 8k r+;s:w)a kmy2m w99banpg is a fundamental unit in the SI system?

  The volume of the Earth is approxz0(cs ,yoq.primately $10^{12} \mathrm{~km}^3$ 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 /t(t he3:rfkiorder of magnitude, the number of heartbeats of an average adult human in a r:ih(fktt 3e /day.

  Which of the following contains onfgw, w s13+/(yi; y swa3mcvdse fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dey/hpdi ouru0 k *.g*c-cimal places-ph/d.cgry *u 0ku*oi?

  A car has a mass of 1000kg. A moust, pgi:vp s7,acx/ad9 / cie3ke has a mass of 10g. What is the order of magnitude of the ratio betwex ps :c,vgae/7i9p/,ctkda 3 ien the mass of the car to that of the mouse?

  A train travels $39.0 \pm 0.2$ meters in $5.064 \pm 0.04$ 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 shape of a cube wz m0 fxnn(,k,iith sides of $3.73 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. 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 3rxq: y-wdf 4pkfr 9b1side $x$ 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 $6.2 \%$ and $h$ is measured to $1 \%$, 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 fh:9a;uht co nhy+z7osx(*c +rule that is graduated in millimetres, xy7z(n;cco h*+h+:a fs9othuas 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 $3.7 \% $ uncertainty in $V$ and a $2.6 \%$ 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 meadg-z3yk 2vij* sured to be $16.0 \pm 0.5 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $3.0 \%$, 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 estimated as2yz oa:*)2t2dcalm 1ilf,ie x $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 differen g7pmzj k*;dvro)76yice ($V$) across a resistor is measured with a digital voltmeter to be $0.16 \; V$ . 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 the following can0f;*uwx oyamoz), j tyc 761c dbjck;, be redbdw *uyy6; cac 7cojf)zt j;0o1k, m,xuced?

  A student measures a do.w9tquiuifh4c,+m ;istance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Wha ,mf+qi uou;ci49h.t wt is the best estimate of this measurement?

  A student measures two lengths as follows:ne xcp: s/pl 09kwb84m $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a al+7z fat g- k avft2ai.wm -w)2:;yqgdh3 6lwund 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 va8ldctigk-(02 udno : nries is plotted. Theory states that P shoul:t 2gnou i dn-8ck(0dld vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape5m: kyo) b9jct as shown below. tk9 m)y:obcj5

What is the length of the pencil?

  The masses and weights of different objects are indepen.ew,8sq8i ab,vvvp-ltz 2o s )dently measured. The graph is a plot of weight veqwiez8, vp .sbv,alto s2-8v)rsus 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,m8e +uu j/bn:0,vucjn and the diagram shows the measured values with their uncerjv /j,un 0m:uc+en8u btainties.

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 percentac+:axrekr hs*u jh5ke5ju83 1jpk 1+ yge uncertainty of 7%. The radius of t j+u8u:chhp53rk r1jajk ees 5k+*1yxhe sphere is 1.3 ± 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 has shown thatyrc(t wm72h zj(9nu;w:
$$
P=\frac{g h^2}{u^3}
$$
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 t udk+ 3;aggghe .s(d1fhe acceleration due to gravity produces the followig1sd(g+ ;heafku3g .dng 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, sucz /tr)n.a2etfsoohsy y -)4s9 h that each measurement has an uncertainty of /9fnssy2hr-y4.o)z a )e ttso$0.5 \mathrm{~cm} .$

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 mas.wi )28mk9luysli ck 8s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.0 \%$ 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 1*zgrfhl0zn x lg,;2ierror. Which of the following statements iszz2*h ng,1flix0 gr l; correct?

  A student measures a length five times. All of the measurements lie between ez+6vz 5u8vs g$18.8 \mathrm{~cm}$ 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 ± 0.1 cm long is cut from a longer piece that is 12.6 nxu 4/acb*b -i:zjx8f± 0.8 cm long. How long is the remaining piece of stzib bj -x u8*f4/canx:ring?

  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 $\pm 4 \%$ 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 ± 1.5 N is applied to a mass of 2.0 ± 0.11 kg, causing it to f6cc869jemiah2 9u-u oi h9ac8qhhb2 accelerate. What is the percentage uncertainty of c2j9eu9b 6cu h- c2aohi 9mh8aq6 8hifits acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire iskfcxa 6w+6* cbl: cb-m measured to be 10.0 ± 1.7 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) %