Which of the following could be:0kzvt j9*zuc a unit of power?

  By approximately how many powers of teea m*l 5. 82 nm:qrtposlk(z -/n*txbtn is the height of a human larger than the height of a gz( l5x. n :2p/at8k-mtlrsom et*qbn* rain of sand?

  What is the value of bofmcsg 7;fcw 8*w8k:$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in thnl* vpbex)dzazt 635w6/bg2ce SI system?

  The volume of the Earth is ,678+aegw qf2q i5qjem o*lw napproximately $10^{12} \mathrm{~km}^3$ 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 q3/wqcs:elp:ga7rp6sf ro 8 4of an average sr 3/qgwp874pflrasce6oq ::adult human in a day.

  Which of the followinmlf8 ks.hu7s)s07oz ug contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50,-iudkgy8kt(zhmo, i ,v0 rxv2 b0v*j3 which calculation will give the answer with the most decimal plj k0d(m t0z,2v8ib*x -oriu,k v ygv3haces?

  A car has a mass of 1000kg. A mouseh6bq.0kwj7 ab has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to th.j07abhkq 6w bat of the mouse?

  A train travels $85.2 \pm 0.4$ meters in $11.799 \pm 0.03$ 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 wiy/mf0 nrv7coiwfb fyd-n1193giy23 sth sides of $2.60 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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 7ovcc4wq-:v*f p4g k bbase 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 $3.9 \%$ 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 measuredm;o h4 i)s3nuj using part of a metre rule that is graduated in millimetres, asi;uj4osmh) n 3 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 $4.0 \% $ 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 x.wpgq, e+:fjmeasured to be $29.6 \pm 0.8 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $5.7 \%$, 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 ofx3vakbi ls(e3 ; j2b 5wy/.gw2bq 5jel a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differencr fulu+mt.key6i0brtn 8 .:4de ($V$) across a resistor is measured with a digital voltmeter to be $0.47 \; V$ . 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 9uix(h 5oc gxg(9gn6lfollowing can guhc96gog n5l9x (ix (be reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 3u u0vuy3 5.nhqemx9kox2f z 9;8.1 cm, 38.2 cm. What is f3kn0h2x 9. e9yzu;ou5 uxv mqthe best estimate of this measurement?

  A student measures two lengths as follk0ja ( 8;xxnj(xw3nol w 5ie2mows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a ang(rs utmf+ z.-;ypd( id 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 is plotted. Theory j,ki 4 *h-lv ss-6 ,asddy,kinstates that P should vary linenky,*d d-j k ilh s,-ssi4av,6arly with Q.

  The length of a pencil is measured using part of a measuring tape as shown belvf6b/ s2z fby-owf/fv-2b6s zy b.

What is the length of the pencil?

  The masses and weights of dif2p;o* ebwr 7wuferent objects are independently measured. The graph is a plot of weig27pbruw*e w ;oht 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, and the diagram shspxz8k : cgv)9 j9kdvjeg/r51ows the measured values1jgz 9r kdpg):kj v5/8e vxc9s 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 with percentage uncertainty885 bvzj+yxrf of 4%. The radius of the sphere is 4.9 ± 0.4 cm. What is the percentage uncertainty in the 8fvbj5xy8z+ r mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thaee/y0y,hdrh.w*0 aka 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 measure the acceleration due to v v 5lk9 vc,r;pk/ld7qgravity produces the following re 7qkkl5vv,9cl;d/ p rvsults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 acz nek x;8.rcpu .w;.measurement has an uncertainty of n.;..c8 uaekwzcp;r x$0.5 \mathrm{~cm} .$

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 masts gntq -) ,wf97gxirz280vlbs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.0 \%$ 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 * f-+j p6vpmbrthe following statementsrvb -*p6j mpf+ is correct?

  A student measures a lenub3v rj*q7u3 xgth 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 ± 0.4 cm long+ i *s1f 2imvt-4w -dl/qjvdhp is cut from a longer piece that is 12.6 ± 0.5 cm long. How long is the remaining piece of string?1pd2qfh-vdm/4ts l w +-iv*ji

  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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. 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 of 2.0 ± 0.22 av:p*qbf6 fb) kg, causing it to acc:f)fv* bbqp6 aelerate. 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 meaz.qgrlt (yum8 v izy ;8 mow)zk3i*e6:sured to be 10.0 ± 1.0 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) %