Which of the following couldcc-l,:5h akahf2zy 4 l,4cjao be a unit of power?

  By approximately how many powers of ten is the height of a human largeruvbz y+o ib.z9b+x10w than the zub bz.oi19y xb+ 0+vwheight of a grain of sand?

  What is the value of;m /mns4+ 4**wvrgvrw x fjq ggxy:i(/ $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fdo zs c+7argo9b8 d/v)undamental unit in the SI system?

  The volume of the Earth is approxims9 )stfqkra 2 k/x7f/gately $10^{12} \mathrm{~km}^3$ 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, o;z: :al*2jjeh4 lvfithe number of heartbeats of an average adult human in aj:2 jliflh z:o4ave* ; day.

  Which of the following contains one fundamental unit and one deriveda+a9h1wwt 8ro unit?

  If A=10.0 and B=0.50, which re v;brd y*,m7calculation will give the answer with the most decimal placesvrmy7;, rbe*d?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is thef.1mwwnpvocdc n (6 9( order of magnitude of the ((dc9 o.wwvmc n1 p6nfratio between the mass of the car to that of the mouse?

  A train travels $72.5 \pm 0.7$ meters in $13.368 \pm 0.07$ 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 with sid -pjh s(zft 1rb1kalp 7m;28sees of $2.63 \mathrm{~m}$. Each side is measured with an uncertainty of $1.0 \%$. 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 side yygo1d y(q3 m fj/,3rh$x$ 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 $6.8 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is meash7yewn:(- +knavh2j c ured using part of a metre rule that is graduated ivjew-7 :2ny nch+akh(n millimetres, 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 $3.4 \% $ uncertainty in $V$ and a $3.0 \%$ 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 measuc,i:suvohk ( 9gfnfy d/9k33yred to be $20.6 \pm 1.6 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $5.4 \%$, 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 ofmvrj-4g -e -..d7tjd a- rs;fxfqr 4ge:mt i-m a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 differeny; 5l m;/r)xfvpot7 bzce ($V$) 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 b /-ha /+dqc/grdyp 45gc h olt5i28eb jbt5x8the same quantity which of the following can be reducgc+bheidt/4 xp58ltb2 j 55hy/c qd/8g-rbo aed?

  A student measures a distance fourn.q)tv+tfg hh on+8e* times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thi )t.+ qfn8*+thnhoeg vs measurement?

  A student measures two lengths as followsj7.+y: sv.o vjzw)avn: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are 4sypmot xxszsykpt91)u:: *5/e * u ozmeasured 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. Theooo+hyayf 8b9e;a+ l 9zry states that P should vofzl8hb ay++; oy9 ae9ary linearly with Q.

  The length of a pencil is:u 2ae ,s4xjvj z5glt. measured using part of a measuring tape as shown below. s5j t 4x2ezlv,.:jagu

What is the length of the pencil?

  The masses and weights of different ob 8qhjm2ap bv)q+a(b c)jects are independently measured. The graph is a plot of weight versusb2 q+(b8h avcq)jm)p a 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 rectd3v-jfv((jrynhs j )+e8y(, -xevkdqangular plate are measured, and the diagram shows the measured values with their uncertaint)r(hvk+e8 y ve-q(,(v yn xj3sfdjj d-ies.

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 2u0a 7. h *ld0gdxfxsyuncertainty of 7%. The radius of the sphere is 4.1 ± 0.3 cm. What is the percentage u u2700lxsyda gdxfh*.ncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has show41 7bgvfow ap ing:o5h 95ix.bx,zt1,w;oxwbn 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 prod(f f3pt u(+pk)s 7)w1w loqgpbuces the followif)+k (u pfb37p(sw1g)wq tplo ng 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 rulksd7jetyi 4,cs4 mdj a,m./b)er, such that each measurement has an uncertainty of dbj k4,.s/7emciad ,y sjm4t)$0.5 \mathrm{~cm} .$

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 hwh+h/6oubx2 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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. Whichfxs4xjp9+ohw(9r ;i) gj3lsj of the following statements is correjj 94oxpx;sg)rw+ f(39h ilj sct?

  A student measures a length five times.h4v2ih (yt gy3-ty8ez All of the 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 longer piece ttaqd+f vdt(+4hat is 12.6 ± 0.6 cm long. How long is the remaining piece o t4qt+ ad+fdv(f 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 $\pm 7 \%$. 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 2.0yud,so z0w 0ve4th46 ,gb pij8capjt8p,7, ca ± 0.14 kg, causing it to accelerate. What is the pe8yju t,t c407 hpp4 68o,evcwbpjaia,0,szgdrcentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wirev v.c4xao 0l*jxah /uym)r ,c0 is measured to be 10.0 ± 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) %