Which of the following coul/x (a6 vurh+bo/daj2dd be a unit of power?

  By approximately how many powers of ten is the height of a 4 qaq7jp,e1u:cs la8hbz ia -i3l4 :kwhuman larger than thek s1 4aab7 i:-qe3,ja hcz8wlq4ilu:p height of a grain of sand?

  What is the value of3tr xa:jq;2k tu m;j+cophn)ev/z )6h $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system?(t y74csr)oy d

  The volume of the Earth is approximate c77devv:n-vhyg0 kl.ly $10^{12} \mathrm{~km}^3$ 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, the7y w 6hsw ds+w)i4sjz(rz1au)bk:m,rg25 q ke number of heartbeats of an average adult human(wz :i5 d)4ygr q)2, kjs+7ewa u6khmsz rw1bs in a day.

  Which of the following contains one fundamental unit c8gt( z-lfc/f3.n yh tand one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decim(zc do+ q8sya.+7yt6 inncz1kal places?( n.z+ iao k s+yd6zy8ctnq17c

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is thechy . .smnu-l3)s.kys order of magnitude of the ratio between the mass of tschms- u.3k .yny. l)she car to that of the mouse?

  A train travels $71.9 \pm 0.5$ meters in $6.332 \pm 0.07$ 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 si 4d)nrgt2ms lv8,cgt1 des of $2.80 \mathrm{~m}$. Each side is measured with an uncertainty of $0.1 \%$. 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 squarviua*-u9cv f7,v09f;ekgcu :fs pyn6 e 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 $3.5 \%$ 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 usinvr qk*k 7-xpw:g part of a metre rule that is graduated in millimetres, as shown belqx 7kv :r*pw-kow.

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 $6.2 \% $ uncertainty in $V$ and a $3.1 \%$ 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 meqiq0+m *k9pva asured to be $17.7 \pm 1.0 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $6.8 \%$, 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 ok1 fs9fb/i994gtvjs x f a room are estimated 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 differenclyh9d ox:5 bpcvslhq/l1*01 y z-u w)me ($V$) across a resistor is measured with a digital voltmeter to be $0.30 \; V$ . 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 the5pbe r 6i,iyie l3zx.9 following can be reip 69.zeiy3 ilx,b er5duced?

  A student measures a distance four times. The readings are 37 rn32rfl7dn-8cmec8h .8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is7c2r n 3n88cl-rhdefm the best estimate of this measurement?

  A student measures two leac1 ;hy++ z kbdiimi:w,r3s*0u aii4 sngths 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 eventdm do8 5op-ci0:ovb*a s, a 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 quantita7uth i6 bn(b:jjk9o -y Q varies is plotted. Theory states that P should vary lthjki un6aj7bo 9b:( -inearly with Q.

  The length of a pencil is measured using part of a measvrh2p2us 032y1mfxh nuring tape as shown belown2 2mhh20 xup3rs1v fy.

What is the length of the pencil?

  The masses and weights of different objects aremi4+lgykseh7; q5/ a l independently measured. The graphkm;g ls+hy li/ae4 7q5 is 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 rectangul cqt :j1ih8 /85xi3cpeabnw,dar plate are measured, and the diagram shows the measured values witi8h/i1j3b5 xpcw, atq : ned8ch 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 sphe tr-0hyvu pbve-( +dx*re is measured with percentage uncertainty of 3%. The radius of the sphere is 2.6 ± 0.4 cm. Whav hd+(* rxy-0-tvbpue t is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shownhf 2pbv zo */illq.s1, f**4yu,np lyu 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 measureou57wbvn7 pp: the acceleration due to gravity produces the following r 7vw:7bo pu5pnesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 mee7jx yvso9 wa3le3 0u/asurement has an uncertainty of7usee 3wlx/3ov yja 09 $0.5 \mathrm{~cm} .$

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 5ihmks y*8 nxw;buu3y 3:x1uc$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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.vq 9jqb vve8y );hn19a Which of the following statements is corv9)ah j;8byq en9v v1qrect?

  A student measures a le+g 5mnju/ gqv zcxz38d+/fpt9 ngth 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 l1r6ly uqn)b 2zonger piece that is 12.6 ± 0.2 cm lo62lz u1qyrb n)ng. 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 5 \%$. 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 ± 0.4 N is applied to a mass of 2.0 ± 0.03 kg, cy frp/jzx:8 fx;gs s7)u-:f6vblfwxkcdc// 6 ausing it to accelerate. What is the percej 8xvfdb:s /yxp-/kf wc7c :zf/lrs6 u ;6x)gfntage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of 30f egpklxv: yej+k,o7)t qf )wire is measured to be 10.0 ± 1.9 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) %