Which of the following could be a unit of power i1 wuq0um1)grq4s ,phs1kvp ;,dlow9?

  By approximately how many powers of ten is the height of a human la7yh0 9ynkg gkqhhi5/u 0n p*z.rger than the height of a grainy*p500/ny kikn ghg.7u9qhzh of sand?

  What is the value of sqb -rfold*u *pa1 1:bivjrak3 7- z7ew ox*v.$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a funx48v 8hmpzddj3bf4 6udamental unit in the SI system?

  The volume of the Earth is approxi:96wasj*szmgl;m*w0eo d(ew r ce6u * mately $10^{12} \mathrm{~km}^3$ 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 heartb cps f.fhlkg 7ltc87po). 84tgeats of an average adult human in llgoff8)h7st c..4c8 p p7t gka day.

  Which of the following contains one fundamental uni dq02 fghzf0b(t and one derived unit?

  If A=10.0 and B=0.50xaf39dq z jq).3 gu/0sqaarj+, which calculation will give the answer with the most decimal pl. azquj30sa9 )rgdjq/+xf q 3aaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What isvul5nn:hfg)okb b i-95l 1a f( the order of magnitude of the nua l9nk fob:iv)fg1(5h l-b5ratio between the mass of the car to that of the mouse?

  A train travels $85.0 \pm 0.8$ meters in $5.468 \pm 0.06$ 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 shapr7xa0 - 3a0yr y*koz(ln4mnngkfl3 .le of a cube with sides of $4.68 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. 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 square z jz 9dn 0glfrs ibcz8e*14(6c a6*ckhbase 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 $6.2 \%$ and $h$ is measured to $6 \%$, 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 pijx,;8j i9oq aart of a metre rule that is graduated i,q j9 ;ij8axion 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 $5.9 \% $ uncertainty in $V$ and a $2.1 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballrvjg8x dl5i- 8oon is measured to be $11.7 \pm 0.8 \; cm$. 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 $2.1 \%$ and the uncertainty in $l$ is $6.6 \%$, 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 adbeknizjhc-5gp 06 -a5-op v( room 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 difference (gospn03 w9oh+ew))x o $V$) across a resistor is measured with a digital voltmeter to be $0.27 \; V$ . 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 followinwz9 5 gdmeo+2qg can be reducez+e dw o59m2qgd?

  A student measures a distance four times. The readings are 37.8 cm, - gy26-sb7l zr;xmhsl37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this z7-hl 2ls-gy;bsx6rm measurement?

  A student measures twi:/ lljzm38kco*k eh6u5if0to lengths 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 zu)lp l h1*ft2and 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 quantity Q varies id+ee/ t7bm( wos plotted. Theory states that P should var(w/ +eemdo b7ty linearly with Q.

  The length of a pencil is measured using part of a measuring t237zh z0th.noe3 o3aozgb w)mape as shown below.mh3h0ezzoobt.og23 na 3w7 ) z

What is the length of the pencil?

  The masses and weight,fcgd4 0i g-mbs of different objects are independently measured. The graph is a plot g, g-0di4bcf mof 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 plazomxx;3qv kr2 z 9/s6dte are measured, and the diagram shows the measured values wkdxs2/3 mq 6z9 x;rvzoith 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 unmh7kl) w1bm4i certainty of 5%. The radius of the sphere is 1.3 ± 0.3 cm. What is the percentage uncertainty in them7 iw4)lh1bm k mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thajy qm-k8j: dvfx.v263hr yw+z t:
$$
P=\frac{g h^2}{u^3}
$$
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 measurexyp+i7+4r 5j zo76z rmmy def8 the acceleration due to gravity produces the following resul 7z re85y4x+7 omjzimfyd rp+6ts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uncerg l2w ,e-0vsjupf5t/itainty oveuw i sjlpft/ ,205-gf $0.5 \mathrm{~cm} .$

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 masx 1q1tcpa)hj 5k::uitp h)3+x+xyw.vndh * ww s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.1 \%$ 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. Which ofm.ki/u )voy 4x the following statements is cor4v um)o i.xyk/rect?

  A student measures a length five times. All of the measurements lie betm bw31ve6ks:p1yi( qfween $18.8 \mathrm{~cm}$ 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 m/p.s qv3g0zm1c2bkzu:bj:;bzbf xcx *(9yalong is cut from a longer piece that is 12.6 ± 0.6 cm long. How long is the remaining piece of string1(sfjb0qz;gkm:c z3 x babu 9pm/cv:b2 xy z.*?

  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 ± 0.*6 duv9)1(u a/b dpmu7udo:+p :evia zdgvyt13 N is applied to a mass of 2.0 ± 0.16 kg, causing it to accelerate. What is t*: uumpzd ab1evdt(o+6 idv9 )uv7:g1pd au/yhe percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle on 2;gbo7n7-t0- .r fc+e krf;kxfv :sqna 6javf wire is measured to be 10.0 ± 0.8 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) %