Which of the following ykd(.d d:6 6bnavs7prcould be a unit of power?

  By approximately how many p ai( qi//v+b.48hc gecgs48z5c m bsakowers of ten is the height of a human larger than the height of a grain of sand?.k8gsc m8gsbavqhcae(/+b z4ci5i/4

  What is the value ofia,hmhg70zw2h g v z96 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamenta d0cdk/6a, k4x-i5erqo -kvmgha.r2jl unit in the SI system?

  The volume of the Earth is approximately(ua-mm k) -mysi;5sil $10^{12} \mathrm{~km}^3$ 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 l q2 94buunl+fbm6v g+x( )snaof an average a9bnbnlg64uslfu q )+ ( xa+vm2dult human in a day.

  Which of the following contains one fund*;szap o+k k,mamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the moqz8r lp-d-6 6/ubckj ost decim /68cdokl zrub 6-pq-jal places?

  A car has a mass of 1000kg. A mous/b50 x cdwv*:msek zsqwqf*w7*paaf h0 o3(o ;e has a mass of 10g. What is the order of magnpsbx 37h wwa (fewq/5d0ocs: akzovq ***fm;0itude of the ratio between the mass of the car to that of the mouse?

  A train travels $43.5 \pm 0.5$ meters in $12.959 \pm 0.06$ 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 s7/u s sa9jb0e2 souo5 f :ar(rm*6hkgbides of $4.84 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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 square base of y*9 xhqp8v(9rzzt5r t 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 $3.5 \%$ and $h$ is measured to $3 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil iw2g v apqccsdzz/ a2h;*k/2n9y/i qv+qux:z/s measured using part of a metre rule that is graduated izkapq22v+icu*wqd/ /h vz/9x /yz:c q s2n;agn 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 $5.6 \% $ uncertainty in $V$ and a $2.0 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballo b1akxcq:t,h 9on is measured to be $28.9 \pm 0.9 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $2.4 \%$, 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 evruh7 ;o7aw2he c( c:jfl8du; stimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 differenceek av/ : g9lfpo1o;;ns9de 8yu ($V$) across a resistor is measured with a digital voltmeter to be $0.20 \; V$ . 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 mearl*90xqvi -s- t ,qxkwsurements of the same quantity which of the following can b-rtx -9q,q siw *0lkxve reduced?

  A student measures a distance four times. The readings are 37.8 cm, 3i2;ts7bc1x6fqd4 pe i7.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this mqci7bsdxt2;1e i46f peasurement?

  A student measures two lengths as fon0 y d0ji9e;q-wlwryfu6:; dpllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to +3hhche ra(y y6e+ zwn2ppe61be $(5.1 \pm 0.1)s$ 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. Th7 g*6rmm enk7jhuk 0n icg2g:)qk9g2deory states that P shou:7ukdj69*k cr ggi 2ggknhem q02n)7mld vary linearly with Q.

  The length of a pencil is measured using part of a me 0w+gua msg ijv1m/+f8asuring tape as shown below. 0 +s/mw 8jgmuifv+ga1

What is the length of the pencil?

  The masses and weights of different objeag(-71q-hi9gdk1c st 7 dxppu cts are independently measured. The graph is a plot of weight versus mass that incliu7aq1 pghd(7x dpkc-1 gst9-udes 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 pl78*u azqh ierhim 3x1+acrj(7 ate are measured, and the diagram shows the ma8cqi j m3zir(h77+a1*hu e xreasured 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 7%. bz3 isfqxfm9// xt q+9The radius of the spqq9i3bm/ sxx9+f / ftzhere is 5.8 ± 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 buz43:jq. 7u;szt6ds k :dosg-t oi*oshown 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 tje2ahlhw;il5n+ et) c7 /vpt0o measure the acceleration due to gravity produces the following resajee 07+lhc )w;25hil pt n/vtults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 an un2f ,kap1i j-x(bhh3zhcertainty of xif2ha-k( z1ph j,b3 h$0.5 \mathrm{~cm} .$

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 mas1e h+-qgvc/ prs $(2.0 \pm 0.1) \mathrm{kg}$, 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 errn 5 chrrytlml/ 7+wj/5or. Which of the following statemen h/yrnl c5/lwmr+ j5t7ts is correct?

  A student measures a lengthv. 926n cpoxcw five times. All of the measurements 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 ± 0.2 cm long is cut from a longer piece that is 1k+ q (qakpvwgl)so-+:2.6 ± 0.2 cm long. How long is the: o)(q-avkpql g ksw++ 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 $\pm 1 \%$ 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 ± 1.0 N is a5pf- w,1blwtbhx7 8u(/fw wjapplied to a mass of 2.0 ± 0.17 kg, causing it to accelerate. What is the percentag-w w jb/b7wa5ufx8l(wt1 , fhpe uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured t*/+lgs6i q,(zutmv(ssf 0)8hge p jvdo be 10.0 ± 1.0 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) %