Which of the following ub 6 0dh xfk5es7m+f:kz1o)zg could be a unit of power?

  By approximately how many powers of ten is the height of a human larger than tmqxdl8deo2n9 -yudhvz zert4: 5,23jhe heigdqdorh d,z y uez 9-j 22x:85velt3mn4ht of a grain of sand?

  What is the value of f9kq rqj 02( vr9xr+me$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundl/ 2heunq*5 xv-ruw b/amental unit in the SI system?

  The volume of the Earth is approx/i:52;6 d;bdloq jn 0d8iyhmwl4bh eh 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 number of heartbeats of an6sqmyom *08fh average adult 8 sm6fo*0m hyqhuman in a day.

  Which of the following contains xrpwu0/ pm scv6j wya,*lu, ,7one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which ca l8np;. l 4dgup8ki6pklculation will give the answer with the most decimal places? 4ul.6pp kkpgd88;ln i

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order o+rls3jf mpwe5l 7w10u f magnitude of the ratio between the mass l5 +lj0pwsmreuwf317of the car to that of the mouse?

  A train travels $72.2 \pm 0.4$ meters in $7.064 \pm 0.06$ 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 sqhlobr2yo8c4l ms6.a1 0sld1 ides of $4.65 \mathrm{~m}$. Each side is measured with an uncertainty of $0.4 \%$. 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 baswc fd zncd)ur, 1 c2p/a;cz/w1e 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 $4.4 \%$ 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 graduatkjk3vuaf 0y2m lw.)u 5ed invufma 5)lkuw2. 3j 0yk 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 $6.6 \% $ uncertainty in $V$ and a $2.5 \%$ 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 measure;pn8cophk n* t +3)abphr9se5d to be $14.3 \pm 1.4 \; cm$. 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 $1.4 \%$ and the uncertainty in $l$ is $2.5 \%$, 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 estimatedz2y((xl mzuivy2wx7u wo1 v:: 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 differen;q f3los;js3l ce ($V$) across a resistor is measured with a digital voltmeter to be $0.35 \; V$ . 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 measurementsecm m :thb28piv96xm mk59 dn)9b;fmk of the same quantity which of the following can be reducfn9 vkxc2m:hdbm;6mitpb)k98 m9 e5med?

  A student measures a distance four times. The readings are a; 9f3 kx/dmwmf jhx4ukq8b+037.8 cm, 37.9 cm, 38.1 cm,xubdma 43+ jkf;90wq m8xh/ kf 38.2 cm. What is the best estimate of this measurement?

  A student measures two leng7ys05ox gri1n)n+f ot9a qz*wths as 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 7x:qj ssv)-jh78 pmryxwk.,yb, 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(ibelqyb u,tx (/6xo-. Theory states that P should vary linearly with Q.-(ilq/ btxo, b(x6yeu

  The length of a pencil is measured using part of a measuring tape as5 z7zhm:m(lqua vjt /) shown below.7ujhq za/:mlz)t ( vm5

What is the length of the pencil?

  The masses and weights of different objects are i(hs 77-eayo ayndependently measured. The graph i7esa yo7hya -(s a plot of 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, v- qvzsqt(s*+and the diagram shows the *szq -qv v+s(tmeasured 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 wbeaj +.hoi-,vpz m 2.d,t3 wooith percentage uncertainty of 4%. The radius of the-,evj,o ha p.mdb2+oit w.3oz sphere is 5.4 ± 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 oy;y l8wl ho2*pfp6 kmgxaq0whh -2 :5shown 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 to gravity produces the foll.2jfi) y) qt tnm08xryowinq8ifymj 2x.)n t )tr0yg 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 each measurement has an unc2hy a57 079hck spcx 0xa(eless6fna1 ertainty o2ahx5l h10xypf7as6ka c90 nees7 (scf $0.5 \mathrm{~cm} .$

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 mas+2xz6 ;pn 1* (ftry,fqczsqkcs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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 nonb,uj* hzyepx4 grt,r e k)+m/4-negligible zero offset error. Which of the following statements is coh,jt4px ze g u4+/r,)*mebk yrrrect?

  A student measures a length five times. All of the measurementh tti 76kv )eupi+jy2+s 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 piece tha/:5f t lmqpd;pt is 12.6 ± 0.7 cm long. How long t5 flqmpp/:;d 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 $\pm 2 \%$ 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.*5tcomx/ 5ios5 N is applied to a mass of 2.0 ± 0.03 kg, causing it to accelerate. What is the percentage uncertainty of its accelerati*tm/oi x55 coson?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is me/0apk3gu 8z4;glbpl o 8v:mzlasured to be 10.0 ± 1.7 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) %