Which of the following couldyzj37u( ,dd kw be a unit of power?

  By approximately how many powers jkltj1hx :mn7 m e8/h)of ten is the height of a human larger than the height of a grainhj8:71/m mtj nhk)elx of sand?

  What is the value of nsmbkkb:90u,rl/ ( 1gkb-j ah$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following07d; h cal8za6rbivr- is a fundamental unit in the SI system?

  The volume of the Earth is appr9c*u k6,jmba ris0p x4oximately $10^{12} \mathrm{~km}^3$ 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 numb/lqqtz iv8co6k .-7ux9w9;)op ayat yer of heartbeats of an average adult human in a daqzp8;.it/-v9l kqyy 6oxa7c utaw)9oy.

  Which of the following contains one fundakkg ,;i0tvuosl/b*ov6l2 bn *mental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will giv cwm; h3,;uliv07 ywwve the answer with the most decimal 3 7;w0l vivu,;mwwych places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Wh 4ex)k8v7k+ truu2v saat is the order of magnitude of the ratio between the mass of the car to xrevu7au+ t2s4 kv8)kthat of the mouse?

  A train travels $33.2 \pm 0.3$ meters in $6.845 \pm 0.05$ 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 4k02ct/,x8h ppxc lvbsp9va)of a cube with sides of $4.93 \mathrm{~m}$. Each side is measured with an uncertainty of $0.6 \%$. 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 ofru2q73h/u0d ak o6rd g8 yp9 k;droxl8 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 $9.4 \%$ 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 m.k6umn2uls wu:6ehqvy) m9 7zeasured using part of a metre rule that is graduated in millimetres, asu:vq y) 2ummw kz.6ulhe sn697 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 $5.7 \% $ uncertainty in $V$ and a $1.0 \%$ 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 3h 8x rdcf; 7s4d.tvxnis measured to be $19.5 \pm 0.5 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $4.9 \%$, 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 ;hnlzgn-h3up-5p+.6 s pcwkvre estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 8avwi4 uxa:p6($V$) across a resistor is measured with a digital voltmeter to be $0.72 \; V$ . 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 .qqm ,rmyf: 9gthe same quantity which of the following can be rmqm. gf:y9, rqeduced?

  A student measures a dibimr- o-muk;;i v4sz2p 3tzx17m+j x tstance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremenz7m- i 2;x4oxkizm1-tjmv+ts p3u; brt?

  A student measures two lengths as follows: 0o(t*2b gaasi$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two eventsu *2pux i:ta;p, a and 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 varies is plotted. Theory states thyy36yt +my0 quat P should tyyq3m y0y6u+vary linearly with Q.

  The length of a pencil is measured using part of a measuri).+y tp l*u xgas2ngv0ng tape as shown below xvyap *+tl20gngu) s..

What is the length of the pencil?

  The masses and weights of different objects bps1k:ohfap- s 7+ 2ik-j/thpare independently measured. The graph is a plot of weight versus phbhkpsp:/2+i kf7 sa -jt1o- 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 rectangulyijc1i; 5 uxnp 3xg6f;ar plate are measured, and the diagram showsicxun6if 1;3;yxpj5 g the measured 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 percentage uncertainty x1 +h;t.t 7a.lhe1nns *fkzl2 i1wly vof 5%. The radius of the spherettls+z v1 1filxy.21hlanh ;n. e k*7w is 3.5 ± 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*y:qdt8oek6wndu +cfh87: gw 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 produces the fvt 49;kyd*toq)ocz ha v*x y+cgct08tk++mz4ollowing resulah+ 8*+*vq z4t9)dyot+mztkct0 yxo;c v g4kcts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 an9mk+cj5 ;t 3/*byb,jtx xw nfl uncertaint t*ynkjxbl35b+ f t,/w;c xm9jy 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 mas3c kujq m)4j/ghn,o/ls $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.8 \%$ 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. Whi*m2jo v2v krw6wv b9n,ch of the following statements isbv vjomk ,*w9 w62rv2n correct?

  A student measures a length five times. All of the measurements / wnec24tk*o aiti4: ac*bq.g-i,r29zikoj alie 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 ± 0.4 cm long is j7de/+7k+a hlaze 9d ecut from a longer piece that is 12.6 ± 0.2 cm long. How long is the remainihe7dz+a le97ke +ad/jng 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 ± 0.6 N is applied to a mass of 2.0 ± 0.02 kid9/ oz1:qo2to8uvx3v. hqdm+,ga ycg, causing it to accelerate. What is the percentagt9,83do1haq m doou vq y.2g czi/+xv:e uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is5 p3mms9ag+pw measured to be 10.0 ± 2.0 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) %