Which of the following ut i;ug(n4pa;n3j k 3icould be a unit of power?

  By approximately how many powers of ten is the height of a human larger than the8 ;dvt a gd q6l:g: agpf:*grz:3ca:1uoz)wzn heightzog: gv*dfgr:3gt 68:a:1dpa acl;:) qznwz u of a grain of sand?

  What is the value of li,kq(4c:hdrv , a9ut$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unithpikd 2:,rze( in the SI system?

  The volume of the Eare -sb5g0c:wegth 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 neares,bom0v ,fvet6 *w8pv 3h n)bmth/ mmk7t order of magnitude, the number of heartbeats of an average adult humam*6p)vh,v 03w7 /mnmk,thm t e vbf8obn in a day.

  Which of the following contai jat8;8ea )oiuns one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer wi,f9 0txacpx2( sse )bwth the most decimal scx9) wtp ex2(0 sfab,places?

  A car has a mass of 1000kg. A mouse has a z5xqw2i*4 tkvfv2 pqz p6p*v; mass of 10g. What is the order of magnitude of the ratio between the mass of the car 6;z5*qpftxw 2*v vk 4qi2v ppzto that of the mouse?

  A train travels $36.2 \pm 0.3$ meters in $6.501 \pm 0.04$ 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 shapvl7d nn-kw1k6kg0 mtm9e( 8vxe of a cube with sides of $4.97 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 sidp5gep6v0 3qa).etm)dbcn 6rde $x$ 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 $3.8 \%$ and $h$ is measured to $2 \%$, 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 graf4lfpb pck-clq1d*z0(wl/h3 e6fpd /duated in millimetres, as shown below.k6 b-4 dc(fphp1qlez*c3dfw/0 lf/ lp

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 $4.9 \% $ uncertainty in $V$ and a $2.2 \%$ 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 cca*19ri o eabtl 8xc4 at-5y2measured to be $18.3 \pm 1.9 \; cm$. 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 $5.8 \%$, 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 of a room are est0s+ vf5 wz2mdnimated 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 differencei8kxj (ugu j7rvv5 (71bj0vumjpq/ .p ($V$) across a resistor is measured with a digital voltmeter to be $0.10 \; V$ . 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 f) qr(dxfa f7d5fj 2c;collowing can bedf5ccfafr) q (xj7d2 ; reduced?

  A student measures a distance four times. The readings are 37.8 cmpuy;n7 3v5q db, 37.9 cm, 38.1 cm, 38.2 cm. What ;yb53punq7dv is the best estimate of this measurement?

  A student measures two lengths as follows:ti* doet /xdc 0r32*sb $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two event302whj m9h nfzs, 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 quantity Q varies is plotted.w:,zwg(d el j6 Theory states that P should varjz6gw , e(l:wdy linearly with Q.

  The length of a pencil is measured using part of a measur sh77er).1oey;9euad vclr9n ing tape as shown below.1 yeur7 r;.d9he)lsv9oca n7e

What is the length of the pencil?

  The masses and weights of different obj ecl:/3vk0)gv uhookk5t cc6*ects are independently measured. The grapt5 ) oe v6uock/g*cvk0c3 l:khh 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 rectangular plate are measured, and the diagram h2moxw/pjx/x )g6x9 zshows the measured values with their uncerta o/p)wxjxzhmg6x9/ x2 inties.

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 3%. 6p3 uq6w g+xvbbi1 6 xogf0*asThe radius of the sphere is 5.4 a6gvsubfox6 0i +3 b6p1w*gxq ± 0.2 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 showna1c5 ):sov l97y-gba5rde;h kgt xd1n 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 measure the acceleration due to graspc5cw; a u: noi:6ah2vity produces the following resuw;65:c s aionchp a2u:lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, su0(bjypy4z;n,a ae6y s ch that each measurement has an uncertaintznayb4e6 ps jy ,;ay0(y 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 mas(v+ r3m) yha ul 5kmlh7mo1it8s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ 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 errj-f,7p *5fl-kal m6uq. pgtomor. Which of the following statements is cor.k, plpg u*l7jm- m5fa6oftq-rect?

  A student measures a length five g vse2 ,ckz:g07+prah1v.qlgtimes. 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 ± :0rm+j mfop7 r0.2 cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How long is the remaining piece of stringr+ fm:rj0o7p m?

  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 $\pm 5 \%$. 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 ± 1.0 N is applied to a mass of 2.0 ± 0.23 kg, causing it rsqp/ljnfj /*+ bam-, vw7h(x to accelerate. What is the percentage uncertainty 7m* wsh-(qbf j/+vp,/a ljrxn of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wi6 1lnmztqz 9t/re is measured to be 10.0 ± 0.2 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) %