Which of the following coust(dikgth.v*t0- bm 8ld be a unit of power?

  By approximately how many powers of ten is the he;c;420is) azjxp+ zwowdy f- zight of a human larger than the height of a grain ofwfzo)zz0p; jid;wc-y s 2+4ax sand?

  What is the value of q)3w lp 62kssx$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit i0d3 xp7o,r6 i, +zodrqltry s:n the SI system?

  The volume of the Earth is approxix73 09iyskj:y tulxjl0zg: ;wmately $10^{12} \mathrm{~km}^3$ 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 aunv1 s/y h y20if5/mpof an average adult human 02nm/vu yhp1s/ yaf5iin a day.

  Which of the followi:,e 1zayzq*)i- qorm. oaiig(ng contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, whiw 9.wyp.r f7 hp:hr;oech calculation will give the answer with the most decimal placrye9h h: ;f..pw rw7opes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What ii( qxc,hfek 38s the order of magnitude of the ratio between the mass of the car to that of thxe38kfi( c,qh e mouse?

  A train travels $70.5 \pm 0.4$ meters in $9.395 \pm 0.04$ 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 sides o-*gm5t hpb2qp,d lez, f $5.17 \mathrm{~m}$. 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 of sidlzfw*bi/-i a6h +;q wve $x$ 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 $5.7 \%$ 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 ru5nn.h8q4wy4kqvdj / , kxhrqj96m,uole that is graduated in millimetrev9horqk.h,q 5,djy8 4jmwu/ k nq 46nxs, 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 $3.6 \% $ uncertainty in $V$ and a $3.2 \%$ 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 measured to berzt 1+,u qm7rstw+ wz( $22.7 \pm 0.7 \; cm$. 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 $1.7 \%$ and the uncertainty in $l$ is $3.3 \%$, 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 estimatedft pwyb 1 ;5a9tzu,)ro , 5)yl+wmbgvw 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 differeni48hppcd*n ssl /shs 2/dok 74ducz 3/ce ($V$) across a resistor is measured with a digital voltmeter to be $0.11 \; V$ . 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 followids* iwi+b;lf vju(-- ang can be reducedf(w+*i j-b-aui;s dl v?

  A student measures a dj2 4v - xsm+r:wqjx9f z3z6eymistance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measure-6x 4eyzxrv f jm q93w2z:jm+sment?

  A student measures two lengths as follows: 3ng+cv 2c ohlcoqqs8( 939v zu$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b,n.lxj.1s aalmmh30m dw)w /5e 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 ap7eq26wz3 g7b8w dqg as quantity Q varies is plotted. Theory states that P should vary linearly with Q. z pqeaq3 wg7dw2bg678

  The length of a pencil z desp.g;fw6axecf,7 5k6t.cis measured using part of a measuring tape as shown belowkc57 ,f6dx.awg 6ezpfc tse.; .

What is the length of the pencil?

  The masses and weights of different object u hew,i0c z,zl*d9k0xs are independently measured. The graph is a plot of e,dcwki0 ,0xlzh*uz 9 weight 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 td90lpv* a ss-m8f.ta d lpqn +j2ekyj7(drf:0he diagram shows the measured values with their u -8 2dev+skadfnptf(.dl ql:* aj9p0m07s rjyncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid p9 r5li sjf nl6;1 lk-/hkla3vsphere is measured with percentage uncertainty of 6%. The radius of the sphere is 2.4 ± 0.2 cm. What is the percentage uncertainty in the mas9a-rklj in5lflkh6 s1p3v /;ls of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has lmbt zwwm*b ( z80nv )r71/nvkshown 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 acceleration2o(pg(vpugig afm8/b c ./l3u due to gravity produces the following rem2//i (ocv.g pggfupuba(8l3sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rule; ,b3 s:xy)2vyj e4ue,xenb rdr, such that each measurement has an uncertainty ed e j42vs;bnu:x,,y )3 rbxyeof $0.5 \mathrm{~cm} .$

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 masq.udde/vvh s86 r (d*es $(2.0 \pm 0.1) \mathrm{kg}$, 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. mbmk-e.( vz9dzx6p 8v Which of the following statements is b. z-dvm e8(xzv 6kp9mcorrect?

  A student measures a length fivean)yn z; +5kbd 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 ± 0.3 cm long is cut from a longer pi;lt-y4f0whj aece that is 12.6 ± 0.4 cm long. How long is the remaining piece ot-lwja f04hy;f 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 $\pm 9 \%$. 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 o uq wn ea1/)-v5erx o x4h-smw9w2bzl1f 2.0 ± 0.04 kg, causing it to acceler wmew2)-e5- 1xz9ls4 w1/aovnbuhx rqate. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 0.5 cmm m3) - pbwfisy:1ho2 iyvi5x0.
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) %