Which of the followipsl 4a y3*16on/ ni9ej l1rbupng could be a unit of power?

  By approximately how many p+ual++li.ujntpt :hx csi9 -: owers of ten is the height of a human larger than the height of a grs:njitt+h u i +l:+-x.plu9c aain of sand?

  What is the value of /eszn wppdkpy.x+4u6 i 7-s6nx rzh.: $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in thex5ojy- *ce)f-,abs)2 d;2r guzu i zsa SI system?

  The volume of the Earth is aptlg -w+x:t adro o7x/p(;;fqmproximately $10^{12} \mathrm{~km}^3$ 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 magni3l rd ,/wok0fitude, the number of heartbeats of an averag,/i w3kdrf l0oe adult human in a day.

  Which of the followi;jijhr g96i66oklt a 8ng contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the an0agn njan/)6 cb v, 3:w2ae ype8xsq:kswer with the most decim0vc 2kqebjnasnxaya:8e 36 n) p/,gw :al places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is theo,f f6*opxsnv9/ ilmx95 rv6i order of magnitude of the ratio between the mass of the car to thatov6i/pv9lo6nxsi* ffxmr9, 5 of the mouse?

  A train travels $92.6 \pm 0.7$ meters in $5.613 \pm 0.05$ 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 of a cube witf0tl. x5 -lv zkrqht29h sides of $4.55 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 baso +qj z1ptt jfb.(6)ise 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 $9.7 \%$ 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 rule that is graduae-ml;agen o+ rnxbbd ,q 32;a1ted in millimmab rnqd;;1a,xg2 l3o+eenb- etres, 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 $5.7 \% $ uncertainty in $V$ and a $1.5 \%$ 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 measurev:.w*afqr/ uvr ga-x9d to be $20.9 \pm 0.7 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $5.7 \%$, 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 6co3shzc w4bc cm-m 4 htx+a79are 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 differenceqxszy: 5vk e;0wc4bn 1 ($V$) across a resistor is measured with a digital voltmeter to be $0.59 \; V$ . 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 ofr llg.764xx1k 2sqi is the following can be rsrgs.x 61 7l42xqk iileduced?

  A student measures a distance four times. The readings are 37.8 mt9 ln e:*uuypbyzgt4qy 6:t*;l)0u ycm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best )l4tplm0y9yy:bn6*;y u:et z guu *tq estimate of this measurement?

  A student measures two lengths as folcg8k5 njml q5+lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, ql,xn ,io 3pes)fnf.9a 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)r .mn)1ul q1kpqvj2u that P should vary linearly wi )) rn2v1pjmq.ku1uq lth Q.

  The length of a pencil is measured using part of a mea53 4vytfpm*ix sged 9ed2zs9- suring tape as shown belowm5tpfdyed 9xz-9sei g*423sv.

What is the length of the pencil?

  The masses and weights of different objects are independently measured.v13pm pks .g7vgws.4c The graph is a plot of weight versus mass that includes erroc. 7mvv3s p1gs pwg4.kr 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 the6jpr:2)90iavvn ut i q diagram shows the measured values with theirnu)irvj09v6at i2 p :q 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 percentfgnxp/3pr0kor 6 /y) qs4i;deage uncertainty of 2%. The radius of the sphere is 2.3 ± 0.5 cm. What is the percentage uncertainty in the masq43 xsoe 6pn /yf)gip;/krr0 ds of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that *t*kg5zib6mq x:t9dd.odq q 2:
$$
P=\frac{g h^2}{u^3}
$$
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 ))l3vd 6z3zctjq2sfgto gravity produces the followt zfl3svg3)c 2dqzj)6ing 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 eac2*5f6wfjo(zxl k,u qqv o m7k5t2(xu dh measurement has an uncertainty ,m*w5(f2xulq7z(oo tu v2k j qk6xf5dof $0.5 \mathrm{~cm} .$

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 ;et w/m )( m-xksqhoq-$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ 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 erroriu7 t84x-kpk() fjvro. Which of the following statements is corr -(7pvr8 x4of)tk jukiect?

  A student measures a length five times. All of the measurements li (,cf(,zs,f lpnf ep;we 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 c vpd pd8408y(b9vngswm long is cut from a longer piece that is 12.6 ± 0.0d4g npv(89wy8b dpsv 6 cm long. How long 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 $\pm 5 \%$ 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 ± 0.2 N is applied to a mass of 2.0 ± 0.10 kg, causisg;fpbh+04a cypkl.0aij(9l g up4 f;ng it to accelerate. What is the perce4g g0upp+si4a;cjp9l f;h la0( k.fb yntage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle4gm+exxc(+ 41pl)a*f wus ws g of wire is measured to be 10.0 ± 0.6 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) %