Which of the following could be kpjyo n)8yfwe-v :4lqq2h o)6a unit of power?

  By approximately how many pof l;qzp1ioo ge/1 f75.rtvqg6wers of ten is the height of a human larger than the height of a grain of sand?ifo.;o/qp1 gv 75qg6 eztl fr1

  What is the value ofnrhn)v9 dc8t3 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI b/- ,ynbzb)jkq/k+kz system?

  The volume of the Earth7coqu(qcjs: 0xl6 : ad is approximately $10^{12} \mathrm{~km}^3$ 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 nearkd:b8ip* i .jm.lv +uxv gb51test order of magnitude, the number of heartbeats of an averal 5idk*..+ tbbvm:8 pg1iujx vge adult human in a day.

  Which of the following contains one fundamgywg)w*qx71h tv7zg 5cj+ k-yental unit and one derived unit?

  If A=10.0 and B=0.50, which c u(jpt9(vzii6 alculation will give the answer with the most decimal placij p(t(6izu 9ves?

  A car has a mass of 1000kg. Anuxdo*f / 9*;o ceqzn8 mouse has a mass of 10g. What is the order of magnitude of the ratio between the massoozx *e*c q8fudn9; n/ of the car to that of the mouse?

  A train travels $67.2 \pm 0.5$ meters in $10.596 \pm 0.05$ 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 shapexgl: qrw j963t of a cube with sides of $2.75 \mathrm{~m}$. Each side is measured with an uncertainty of $0.7 \%$. 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 side4vp9,eqyzu6 li,8qp q $x$ 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 $3.1 \%$ 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 part of a metre rule that is grahor r-m -m7/e6ksz8 nws+k 5awduated in millimetres, as shown bel -o8ws7wm kka-r6/s h+ emz5rnow.

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 $2.5 \%$ 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 i(zx.3tj txgd 6s measured to be $17.2 \pm 0.6 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $2.0 \%$, 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 egy(- qv +3k91djz i 6sfyzv 00r eu-z5h,syrjbstimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 differencebr;xyuzk ;*: 4cumwh* ($V$) across a resistor is measured with a digital voltmeter to be $0.74 \; V$ . 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 folloam 30 9xvus77r4dc cxwwing can be reducesxc0uw m 347ax7dv9crd?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 sf y y9.(9h20hsf/hr oqkp v4c ,*yqvhcm, 38.1 cm, 9 rq f/fs(pcskhov qv4h 9yy0h.yh*2, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as fol: d 6pift6duj3lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b,drb3n k ;zr37w 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 quqde*i/kf/ )o f0.pyqjantity Q varies is plotted. Theory states that P should vary linearly w* epy0k.)i o/jqf/dqf ith Q.

  The length of a pencil iui-j4ez(z xyk a)+vg,s measured using part of a measuring tape as shown belowzxke()gz ,+ ayuj4v i-.

What is the length of the pencil?

  The masses and weights of different objects are independer fsiaqjf//+,tue8 7tntly measured. The graph is a plot of weight verisf/tfjaet u +7/,q r8sus 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 rectasjs,:2(b cba- c7-f6 s+q tzjfnyaf 0gngular plate are measured, and the diagram shows the measured values with their unceraj sy(6gz2:stfa nbbqc sff- j7c0-,+tainties.

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 uncertainty of 8% 2.yu0omxep/fi3orv7 . The radius of the sphere is 2u.o v0e /oip7y2r3mf x.4 ± 0.3 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 shown that j4km lm;wphwl4dh4 4z/(a d,z:
$$
P=\frac{g h^2}{u^3}
$$
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 thqro e :w, pf1ewr8*t-.vboi-je acceleration due to gravity produces the following res8v e.rq- i-et,bfowo:p1r*jwults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 t+wrmt05rmp 4 hhat each measurement has an uncertaint4+wh 5trmmr p0y of $0.5 \mathrm{~cm} .$

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 mas7;wda8zu ;f g9ci*tnl s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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 of the following sdsiy-3gb*y r, tatements - i,d3gbrs*yy is correct?

  A student measures a length five time -fx)v4b(6-m . dcau dazgd6aes. 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 ± 0.1 cm long is cut from a longer pi(q sban7,pgsp,p m8 i8ece that is 12.6 ± 0.7 cm long.n s 8p(maqb8 7p,,pigs 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 $\pm 2 \%$ 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 ± 0.5 N :io5 d:ou f:qdui4 o*cpf*.gw is applied to a mass of 2.0 ± 0.21 kg, causing it to acceler.: ow *ioo* :ufqgufc p5d4id:ate. 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 ± 1.0 ctf-ge1/p 2fw8ygbo0 gm.
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) %