Which of the following could becr)a7,4/ifw,n sb snm a unit of power?

  By approximately how many powers of ten is the height of a human lskyyip;h: 51l g3 aiq7arger than the height of a grain yakhisl3p1 7ygqi; :5of sand?

  What is the value ofkm: etjp .):h ,qqlx2w $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamerf*ahy n-) ud23f p)lmntal unit in the SI system?

  The volume of the Earth is approxima /6 wxqbi.f)cz(1guqqtely $10^{12} \mathrm{~km}^3$ 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 m)o7+uvgg;. mnt( xw( asa2v adagnitude, the number of heartbeats of an average adult humanvgw(uaans + ;t gvamd 2)(xo.7 in a day.

  Which of the following contains one fundao58p5 +,nh tpg.hlzpq mental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer wq.zzog8/ * gbjith the most decimal placz/*8zqbj gg.oes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order oz khjvi,c)dbev n;.: :f magnitude:h, ):v zdnek.bc;ijv of the ratio between the mass of the car to that of the mouse?

  A train travels $84.4 \pm 0.7$ meters in $3.025 \pm 0.08$ 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 tz s2iw3beb;4of a cube with sides of $2.59 \mathrm{~m}$. Each side is measured with an uncertainty of $0.3 \%$. 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 o5 vdymxz ,x/rvv u-.g2f 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 $9.5 \%$ 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 is measured using part of a metre ru+ :s8,b- fv*krnnrl.t :g ojhzle that is graduated in millimetres, as shown belo ot n.z +f8jvghnr *-:,srbl:kw.

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 $4.0 \% $ uncertainty in $V$ and a $3.4 \%$ 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 measured tozet+nolu/j85v0sabn ym z* x q7m3;.u be $15.8 \pm 0.4 \; cm$. 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 $1.7 \%$ 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 ctk2)yh*ry- dt9w-kc dq.9 slroom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differenci.+x 0rzqrn gz,ih5azxo/ 2 s+e ($V$) 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 ofxa,d3 wcsgl)j8 v(/y i the following can be r lv3j,8syc)aixw dg(/educed?

  A student measures a distance four times. The readings are 37.8 cm, 37. lox+bsuy (sp.j(.i )m9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurementu.(x ps j)il.syo bm(+?

  A student measures two lengths ;zv4r m/ /c,bysn+kv uas 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 b, areqxwsp 0 6x+/u;rf :3 woy.zrbf 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 quantima/5r m 6.hzg 5b0bvjity P as quantity Q varies is plotted. Theory states that P should vary bar/i0hj g5m vz 6.5mblinearly with Q.

  The length of a pencil is measured using pard:mj2z6 fop vbk+q) 6rt of a measuring tape as shown below2v foj)zp:6kr bd 6+qm.

What is the length of the pencil?

  The masses and weights of different ohx90z,nzqer )l/uv583cy, 3m jtidcb bjects are independently measured. The graph is au),hy cz/ic jdv839b , mexqtn5z0lr3 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* ; ot.4upcb 6ib/hhqs of a rectangular plate are measured, and the diagram shows the measured values with4qutbsh*i/ b6 p ;coh. 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 measulm1wktr.q7g 2red with percentage uncertainty of 2%. The radius of the sphere is 5.7 ± 0.4 cm. What q 7 2lk1rwtg.mis the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:2uqw ccqc:4 ,3it ep:b
$$
P=\frac{g h^2}{u^3}
$$
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 g oy-)mvfucot6 /9 (;rz:qp mmxravity produces the following resm6:m m rxocqfo /tp;9)u(z-y vults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ahmhrh :no7y. 5nlf:o42ijtg6x 6 9tyx ruler, such that each measurement has an uncertainty of6xrfjn52lh yi 7:to :hn6x gohm9t.y4 $0.5 \mathrm{~cm} .$

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 e./g xs.(id tauvvu0 1n dx )-g1cmnq9$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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-nzdwk13 g3g8a/pqmpjp/a +yk8 egligible zero offset error. Which of the following statements wgajzq+d1g3yk pkp8/ p3 m/a8is correct?

  A student measures a length five times. All of the meas6hab w4se ch46 8yl-wvurements 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 ± 0.5 cm long is cut fp jbhre,p +t-1694d,q xx mcu0sm/jxwrom a longer piece that is 12.6 ± 0.1 cm long. How long is the remaining piece of strin4, j9xbujxtmw1ms0dh q/ , cp p-+r6exg?

  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 $\pm 6 \%$. 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 ± 1.4 N is applied to a mass o.uveltm ,r1 g(f 2.0 ± 0.13 kg, causing it to accelerate. What is the percentage uncertainty of its . e mlvr1gu(,tacceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to beov8n;h9a*g j m 10.0 ± 1.5 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) %