Which of the following could b8h4ocq0 ,e xyte a unit of power?

  By approximately how many powers of ten is the height (wn eb)d zf,vt-i7 o4iof a human larger than the height of a gb tie-wdvn( f)47o z,irain of sand?

  What is the value of 3zde8t vqov7icsjb-e: 5j *(hb j*)e 2 bgkel.$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI sykk0. o:tnznj7 sgv7b; stem?

  The volume of the Ear ko2j aw yv,:kk-c)-xb,bjs) lth 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 number of heartbeats of awyo t2 s6f/krid rrgy(bmh+1a(4 .f; tn average adult human in a dra (i;s1t/+rd kr.fmwg t yb 4oh(2yf6ay.

  Which of the following contains one fundamental unit and one derived unit, (.qm4w cu ;j 7mqd)ejsyd*zz?

  If A=10.0 and B=0.50, which ca 4+mxc. x6gisu;dmf3a9n5 xkv lculation will give the answer with the most decimal pl.kcdif vnum m5+x3x ;a46 s9xgaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of 0 bk qcjm+1(vuu ;w6 mjn10+pv4raqu jmagnitude of the ratio between the mass of4+uv mqcj01qjna bv6+ r1umjpu (;0kw the car to that of the mouse?

  A train travels $94.4 \pm 0.7$ meters in $4.822 \pm 0.07$ 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 cube withar5 mcdvb+ 3bxn2q4)w :6 wmkl sides of $3.75 \mathrm{~m}$. Each side is measured with an uncertainty of $1.5 \%$. 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 basew6k.tke r1p js/m28b2au1o ba 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 $8.9 \%$ 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 part of a metre rufx 6jt1)f1x5ye(yit 6k /:wtxs, nyr ule that is graduated in 1i1,)kttxwytny 6uyrj/5( :xxsf e6fmillimetres, 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 $4.5 \% $ uncertainty in $V$ and a $2.1 \%$ 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 tdhse :o) :qjyn2):jgoo be $13.5 \pm 0.8 \; cm$. 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 $1.0 \%$ 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 a 0yt-*s7dltvlkf ll5*cx* vg9re estimated 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 (9 sa vysg0:jo+$V$) across a resistor is measured with a digital voltmeter to be $0.45 \; V$ . 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 ylkn+yoot/amqe6zl/g*sc6 +kk ,u,, can be reductg+/zey,a,nu,k+/lkl 6s y q o *mock6ed?

  A student measures a distanc* ;ci sdabcqc nmnlh (o7+v292e four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is o9v;q*2aml(nc h 7nsdcc i+2b the best estimate of this measurement?

  A student measures two lengths as follows3awzs ozqve5gf eg7i f*5 0 y)5k)*jzb: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and 7)ta op88jpb0cm f2 ;jy7-do euaoo4cb, 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 quantitn3.hp 9;i w)0k pi)ufida w+nky Q varies is plotted. Theory states that P should vary linearly with Q.wuah0k+p w.d3) ki; niifp9n)

  The length of a pencil is measured usbp)i 8poc;c;waf+ i/bbmcv:( ing part of a measuring tape as shown belowc pc;/ba(imbf8pi+) o cvbw;:.

What is the length of the pencil?

  The masses and weights of different objects are indepc63lhrw1 m4nav xjp3+ro( 0 gwendently measured. The graph is a plot of weight versus mass that includesh 6 +ax0gn(rw4pl3 omvwj13cr 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 mryrof))o 6c 7gvw2 e*qeasured, and the diagram shows the measuro72qgf)yco)v*r6er w ed values with 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 spherey*a3 m/mq3)vlb7 ook a is measured with percentage uncertainty of 2%. The radius of the sphere is 5.5 ± 0.2 cm. What is the percentage 3yo * malkbaqmvo)7/3uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has show d(q : j/ujf)lxbxrnsx(48sl; n 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 t9ry*+gtx2 dzj/bz7w:9g aje ao gravity produces the following resul 9:gzwt79xy/*za jgedbr2 ja +ts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an uncertn3fw,e2 x 1fflv0 z+lkainty of0n ffe2lwz1lxvf k,3+ $0.5 \mathrm{~cm} .$

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 :h+ 9gjdhfa+p $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.8 \%$ 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 folqm n-d*g k/g ,n.1 18wgancmcllowing statements is correct1.l-cgkqd/*8nw,g1ag cmnm n ?

  A student measures a length five times. All of thkj2;wpubx + d.e3gv.vc7 q/ hpe measurements 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 ± 0.3 cm long is cut from a llt w 0 xjx.1j66uss2guonger piece that is 12.6 ± 0.5 cm long. How lonj6jut 06ssg w1.lx 2xug 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 $\pm 1 \%$ 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 ± 1.0 N is eyz . +j/al0q fw l/vyb)tzk0.applied to a mass of 2.0 ± 0.04 kg, causing it to accelerate. What is the percentage uncertainty of its ace k /l).jzy 0/aqtbw+z.0 flyvceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of +wtu +b2pbq8u wire is measured to be 10.0 ± 0.3 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) %