Which of the following could be a unit of9a-tca, /i5okjk* bak power?

  By approximately how many pow:hcml1u y3,1d3pjvv n60xcu eers of ten is the height of a human larger than the height of a vx j 3lc1cydn13hu0,ump6v e:grain of sand?

  What is the value of8vev p9:jfi5 t $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI s qtu3 s /;zo3.oab2xbib8mf,iystem?

  The volume of the Earth i0ob) ov0*n *u2kb/mhrdh jc(gs 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 nearest order of magnitude, the nz5 vsyi6 0lj9kumber of heartbeats of an average adult human0z v5skji 6yl9 in a day.

  Which of the following contains one fundam-ija-)l+*fz p2t8 tchybi :vxental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answe9 p04 h3avydy2p usssg(h;k7ur with the most decimal places?gv hks(s3;d0y9au4h su y7pp2

  A car has a mass of 1000kg. A mouse has a mass of 10g. Wha3gpyd xv5 2jl8 7 hdqf8ru-gc6t is the order of magnitude of the ratio between the mass of the car to that of tqyhvgud8cr-2783 dxplgf5 j6 he mouse?

  A train travels $77.5 \pm 0.5$ meters in $5.305 \pm 0.05$ 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 shape of a cube with sides ;vu ncog gr2+-oj 05abof $2.63 \mathrm{~m}$. 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 ofmjtra7qk) v7re-;8g ix 13xjj 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 $8.8 \%$ 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 3pgzmoudg o ) fto3:1r: pa)t;6ff3c na metre rule that is graduated in millimetres, as shown bel 3om:rou:ff) gf g6a;z3pptcto)3dn1ow.

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 $6.2 \% $ uncertainty in $V$ and a $2.0 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballof oc (wtn*88b*9wwc nl.zt; laon is measured to be $21.8 \pm 1.4 \; cm$. 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 $2.2 \%$ and the uncertainty in $l$ is $2.9 \%$, 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 +6c7+.g3buf aqaasd-x: ky ijd9bkf (of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 (b*,vtd6mm 17cr ju.da $V$) across a resistor is measured with a digital voltmeter to be $0.15 \; V$ . 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 quantsge::;var a6al gtn*)x )wuk:ity which of the following can be reduc)wagugs6: x*v:l:nker;) aat ed?

  A student measures a distance four times. The readings are 37. 7vi mjeowz,i-0nv5 c.n8lc63f. kvwf8 cm, 37.9 cm, 38.1 cm, 3 w 8 c-ikf.vf,c n60zjo3vl.n7vmwie5 8.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as fo:ua3 zot6 /mlv9z nd+yllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, f ooal. ;to:p r0)we;oare 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 quantitykfhx1edw4 2g1 Q varies is plotted. Theory states that P shoul4ekx hw21fg1dd vary linearly with Q.

  The length of a pencill 78s42 bhak13s6mp:xqkz. plr op- xy is measured using part of a measuring tape as shown below.a3khy s1o-x7lx82zm r6qp:plp4bk.s

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The j7)(dz.nyjx egraph is a plot of weight versus mass that includes erro dn)x7 z(jje.yr 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 ofaezpec f-2jpx8r6w/* 4lk y): )k hxua a rectangular plate are measured, and the diagram shows t fal k-4p 2cehpwx*j)ya:ur/6)8k zx ehe measured values 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 sph fvy(g*/19xgat:s g6)t hsp ifere is measured with percentage uncertainty of 4%. The x t(p:g)fgyah*sigst9 6fv1/radius of the sphere is 1.7 ± 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 thatq v1e;fx2/f uk:
$$
P=\frac{g h^2}{u^3}
$$
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 acj;w yp u+r w-a ja1hou74dg(9tceleration due to gravity produces the followjuu ad4yo w9j(;7ght pr1+-awing results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measure u9o+wqnhn qm8 x():cd)u p-,pf torl1ment has an uncertainty o8 ,1 p9:)pqduho )nrtcoxwu(qn+fl-mf $0.5 \mathrm{~cm} .$

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 massx wyd9bpxo+ ; ;o2blg0eb ,u3o $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.6 \%$ 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 th,m,uf/biphcr 8(qtn6 e following statements(n rpt8,uqhc /6bmfi, is correct?

  A student measures a length five times. All of the measurements lie bejhkdccy211hc 9h*; pe tween $18.8 \mathrm{~cm}$ 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 is cut from a longer piece that is 12.*;a j0 4ov51gvw8n ogi uqctm76 ± 0.5 cm long. How long is the remaining pieceig; cmg*507w 1ao4vt 8voqj nu 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 $\pm 1 \%$ 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 ± 1.6 N is apvq1 2q sjnpdi4+;)3zoguz szk:qh 41wplied to a mass of 2.0 ± 0.04 kg, causing it to accelerate. What is qs+nz 1k4;q1 d s v4wogh3zp z2uqij:)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 ± 0.4 ci65xp e0pzi; s. eey0yps5sz*m.
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) %