Which of the following could be a umszc2fi:e juyj 2 65j6nit of power?

  By approximately how many ;au ;) dbw,ol8;yehcux+z0fipowers of ten is the height of a human larger than the height of a grain of zauc;x hui0l+ ,f;;8ow be)y dsand?

  What is the value of n q+(jkaqv6oja;o/9c$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following isf9)d sofa-fz3 a fundamental unit in the SI system?

  The volume of the Earth is approxi *v wxbqw,33)etm2f dkmately $10^{12} \mathrm{~km}^3$ 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 an wz4i*6dy3dhe average adult human in a d6hdze 4w3*iy day.

  Which of the following c6/ o. bjqiqr7dontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer witj- fc6dpnmd87h the most decimal places?8dfjc7d -np 6m

  A car has a mass of 1000kg. A mouse has a mass cj7na mab,z7;wq v6b:of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the m;, 7a6 qba7z bwjmnvc:ouse?

  A train travels $41.0 \pm 0.6$ meters in $13.952 \pm 0.05$ 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 sh5k w9 f.)-,tmfm k(zh xwbxll2ape of a cube with sides of $1.72 \mathrm{~m}$. 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 ;kcjtvmoy+wo1b r6 :ycsryr djf:c7*6fp 7-+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 $6.0 \%$ 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 measured using part of a metre rule that is graduz30iwr1ln 31a)zor ebated irb3)r0ewzi1o n3lz a1 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 $4.2 \% $ uncertainty in $V$ and a $2.2 \%$ 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 measurfh 3e1n)c xds-ed to be $28.9 \pm 1.8 \; cm$. 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 $5.4 \%$, 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 of a room are ei) p5t0cr sd;azv9q tc 2zr-)ustimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differeyv64i l xt /0o.pvzdk8nce ($V$) across a resistor is measured with a digital voltmeter to be $0.54 \; V$ . 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 same4s8hr47izc io;lwe4z quantity which of the following can be reduez ;8o4rz4wi clsi h47ced?

  A student measures a distance four times. The readings are 37.8 oi kw38 b+e in3af9)vwcm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of)wawvki+3i3f 8n9 oeb this measurement?

  A student measures two lengths as,ws+ wvp5ft v/ follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measurlhxx:.14f xiun: b7. / fsbdtued 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 stateskhe5 7x-uaj6;s l5sd0 skh:ae that P should vary linearly witl7jss 6au5e- sa ekkd0;5:hxh h Q.

  The length of a pencil is measured using part of a measuring *m;odneiazt+ p kh;7/tape as shown below.7 kn z;toiadem*h;p+/

What is the length of the pencil?

  The masses and weights of3 tf /g/p yf,ona4hf.a different objects are independently measured. The graph is a plot of weanyg43a .fh,/pf fot/ight 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 diagrambk;pf;u9nyv0gedg0* kqs38z shows the measured values with their ;3ebvsdk8pfy 09u;n zqg0k*g 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 cn.t(o fq+ mp0is measured with percentage uncertainty of 3%. The radius of the sphere is 1.3 ± 0.4 cm. What is the percentage uncer.q+0( ntm cofptainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shownq cea74potbyl1mdcs6w6;6m- +w /jfm 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 t g* ) +wxa;)z7lr ee23rvcqsbho gravity produces the follohc7 *s2+ae)q3;bvgrz)x r welwing 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, such that eaw 5:gho.uj , u-sgr. vtey/(;xt50itcpkxfq, ch measurement has an uncertaint5jtv: u o,c;igrg(wpt0-eh kfxt u.y q5s. x,/y 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 l(b3y w; +eji(b4e(ad wxurj 3$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.5 \%$ 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 errorymydaa,+ (cv-,**0m f zrihoq . Which of the following statements m, yr(dy a0,hfoavm- +q ic**zis correct?

  A student measures a length five times. All of the measurements lie betwe4 rag7ssuj6e*n,pqs +q-cpt 1en $18.8 \mathrm{~cm}$ 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 fr uda cj4hp:lc j8cl:60h:wt/y om a longer piece that is 12.6 ± 0.3 cm long. How long is:uhy4 8aj/ cw l0c6ldh:cj:pt 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 ± 1.4 N is applied to a mass of 2.0 ± 0.23 kg, causing it to a3ncn,te 1( mku1qa,ik,o *bkrccelerate. What is the percentage uncertainty of its accelerat1uk ckn3*be,1m, qo ,nr(iatk ion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wi ( 1+wy+,r lc0osl9tjmdad)s ere is measured to be 10.0 ± 0.7 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) %