Which of the following could be awb8qmxd 14kd: unit of power?

  By approximately how many powers of ten is the height of a ny56nbm*li f4 )cvx8bcu5 q/g human larger than the heighbi4*qbvul8y/g)6mn 5x cn f5ct of a grain of sand?

  What is the value of ;s6d9 btp(4fr-)zipgpz*lr u $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a +idtnhns.1pl5h:xq: fundamental unit in the SI system?

  The volume of the Earth is approximatel fymf)y doi/c:btxy9 0+;*lsny $10^{12} \mathrm{~km}^3$ 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 wzd)0ulh.f h 3magnitude, the number of heartbeats of an average adult huma )w hf3hl.0zudn in a day.

  Which of the following contains one fundamental flx 79g)(mzats l5ww h,+g ii;unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mosvhox g2 :m,i2et decimal placeo,mxi2 vg he:2s?

  A car has a mass of 1000kg. A mouse has a :8 c z;f(je8e t2vs. lbqszp7lmass of 10g. What is the order of magnitude fpcb 7e ;2z8(j8qte .zlsvl:sof the ratio between the mass of the car to that of the mouse?

  A train travels $51.5 \pm 0.5$ meters in $11.422 \pm 0.06$ 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 sides of *a7z mi eakfcj2 s4h910fhs9z $5.04 \mathrm{~m}$. 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 squareyc(55gwpdj m6 lur; lm8v,nc5 base 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 $6.1 \%$ 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/3 yctt .rvx(k of a metre rule that is graduated in millit.x (ytvcr3k /metres, 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 $6.4 \% $ uncertainty in $V$ and a $1.8 \%$ 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 c/ f ouctw;th 2+)3urkis measured to be $29.6 \pm 1.7 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $6.6 \%$, 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 rlm7r9j*+ uclr jma6 0room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differencd*9it tjpi,u,e ($V$) across a resistor is measured with a digital voltmeter to be $0.17 \; V$ . 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 followe. *7norv2 n gyl54a6nw:vo tl o8i2sy:cvet3ing can be r2nl ne3v2 yi 78o.otly6o :vc: v4eswng 5a*treduced?

  A student measures a distance four times. The readings are 37.8 jwi62kod .g c3uy57w )o fe0xkcm, 37.9 cm, 38.1 cewk)56o2u7d.xyogj wk c if30m, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follows: tn 0,rmt3(8 fob9mj7uoak;se $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measurezdr0;8 q)(nmf pfaa n0d 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 vagqj djf5my*5 :j mb63kries is plotted. Theory states that P should vary linearfqjm3:y6j*bk jg dm55ly with Q.

  The length of a pencil is measured using part of a measuring tape as showey x4iq5py77q/ domr; n below.q ;yd /q7pexr ym754io

What is the length of the pencil?

  The masses and weights of different objectsroovo: pjd r+)b1v q+q*e2rb/ are independently measured. The graph is a plot+o*r/ 2dvopjrebb 1) +v rqo:q of weight 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 plate are measured, and the diagram lawg af.*;. zsshows the wl ; sa.z*f.agmeasured 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 sphere is measured with percbw/w,q;rpje : entage uncertainty of 2%. The radius of the sphere is 1.2 ± 0.3 cm. What is the percentage pb;w/:q,wjreuncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown 7dacvq.gq9+* / vjex pthat:
$$
P=\frac{g h^2}{u^3}
$$
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 pro: hrgx xdr2sad,cav 47zb0 dmo1;/m,fduces the following soa 7mc1 ,d,m :hf0gva2 zdd/rr 4;xbxresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, nq0:e0f* uwvk such that each measurement has an uncertaint0wn 0fk*: vquey 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 mass j3r;h ; we-gk 5sx,yoj p+ bdy(:zsuq)$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.4 \%$ 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 d mga--ix* 3mc;wps-sstateme* sdmxgs-3 w-m pa-c;ints is correct?

  A student measures a length five times. All of the measurements lie betu)kp c5 9l7desween $18.8 \mathrm{~cm}$ 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 fr .7c8f st +lva9ya8c;*ppgy 0c2yswtbom a longer piece that is 12.6 ± 0.3 cm long. How long is the rem7t2yp al ywp9 v ag08;cc tfsy.b+8s*caining 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 $\pm 8 \%$. 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 ± 1.3 N is applied to a mass of 2.0 ± 0on x6 4f+ecd7p9l dfnl/mb(3x.22 kg, causing it to accelerate. What is the percentage uncertainty of itso34x(n7 nl l+mfc d/e6pbfx9d acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measurea;srl6t+ q,2 a q:pjihd to be 10.0 ± 0.4 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) %