Which of the following could blj6p63h0f c s al9hid6e a unit of power?

  By approximately how many powers of ten is the heo, 9 23(a q4pxr e)gguupdr7yjight of a human larger than the height op 4qyd)u p( ,jug7rx2 ore9ga3f a grain of sand?

  What is the value of p-s e6c7p1y., o7yvop 8tlwu u$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI systempgre8j+:e3;xro i13rt f -ymrwj-m 2u?

  The volume of the Earth is approx4x i0q43-.ufn gf -s,*of x6ue hl)nbsy7rxsw imately $10^{12} \mathrm{~km}^3$ 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 + pdgt*ctx, hukt9bdd44c9t1i2zzj)number of heartbeats of an average adult txu4c+k jc zb2d 9ttz t,9p)4 d1h*gdihuman in a day.

  Which of the following contains one fgn nu/2aa0 5vmundamental unit and one derived unit?

  If A=10.0 and B=0.50, whic v9gdx1bvm3x 3h calculation will give the answer with the most decimal plaxbm1g3dvv3x9 ces?

  A car has a mass of 1000kg. A mouse has a mhy5y/qq8s2g 15fdfsw ass of 10g. What is the order of magnitu f2y 1swsfq5gh85y d/qde of the ratio between the mass of the car to that of the mouse?

  A train travels $60.5 \pm 0.5$ meters in $6.384 \pm 0.05$ 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 c gyvjf50,+iecube with sides of $5.13 \mathrm{~m}$. Each side is measured with an uncertainty of $2.5 \%$. 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 squarexzwb+v:cp a ;-/p3ls t 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 $5.9 \%$ 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 of a metre rule that is gra6,wlc2 tuxg/ pr+jtxsg+, 0dgduated in millimetres, as shown bepw+6jxgr 0tc d/, sg+l,2tu xglow.

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 $5.6 \% $ uncertainty in $V$ and a $1.4 \%$ 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 measurf4uq,q ;u;95 qqzdzi red to be $25.1 \pm 1.6 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $6.0 \%$, 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 estim t +xhh4s9 pcz8g+h q;li:p;xiated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 ( qp ey,(4a z 8. q0kj(ovb81*yxl8qgvv dyf4nt$V$) across a resistor is measured with a digital voltmeter to be $0.19 \; V$ . 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 fol3dqwy 9vf ;-thlowing can be retd9 h-;ywf vq3duced?

  A student measures a distance four times. The readings are 37.8r*)guc oukapq6a5w /yx5.bll 7c0h -h cm, 37.9 cm, 38.1 cm, 38.2 cm. What is6.o 5cx 0uphly* hgqac/uw -r7l) 5akb the best estimate of this measurement?

  A student measures two lengths as follor h p929fajzg,yzk1n6ws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, azgzf4xpy:ccw r736: gi/m dk 65tidg : 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 stox fvv844xoy 0 dcs1a:ates that P should vary linearly :01yvxsadxco 4fv 84 owith Q.

  The length of a pencil is measured using part of a measuring tape as shown b/n 6gi/t*h vkcelow.thi c*n6/ /kgv

What is the length of the pencil?

  The masses and weights of different objects are independently mbn)73h2 z-rzjwsw9dk:me 3 uu5t uz0peasured. The graph is a plot of weight versus mass tz5wuws-z )z 2dm3nur 30 j: ph9btk7euhat 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 dig aslldu:)n4a/* */gy(y uks yagram shows the measure y/sdu**y/(k)a sguayl:g ln4d 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 of 6%.vj, s zbx*e. o diii-j(g4(xk3 The radius of thsz vx (.4ij,o*- i jgide3k(xbe sphere is 3.8 ± 0.1 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 :ry tnbzl2j3 (f1 z(nq /ctna2that:
$$
P=\frac{g h^2}{u^3}
$$
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 accelerati-cnnza-vimmd-,:2 la 4 wksg-on due to gravity produces the following resulm,gsa kimna- nlw4- :zd-v-2 cts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measuremena/g d3g2nj -nut has an uncertaintyg 3gn2da ujn-/ 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 s8z0q ewp 91gmbh-g ,t$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.8 \%$ 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-negligi:dolm/ih/u7, v 3me/; maopfible zero offset error. Which of the following statements is corod;3ip, /i:7 v/ emafhumlo/mrect?

  A student measures a length five times. All of the measurement.y 2/ai7t5uucx- s oz2(x wrnns 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 r )s- :gve7 ;2hg+shbzq5zhb wa longer piece that is 12.6 ± 0.4 cm long. How long is the remaining wg:h bvsq gzhhsz-r+7;b e)52piece 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 $\pm 4 \%$ 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 ± 0.3 N isp9ja:c) nx6/jscgw- w applied to a mass of 2.0 ± 0.23 kg, causing it to accelerate. Whg jjw :c/ ac)nx9p-sw6at is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle ofd3fa)3ju9d- vel hf)s wire is measured to be 10.0 ± 1.6 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) %