Which of the following could be a unit of power px5)cr/ )1eq 7ci4q3+vyabtedgw.on ?

  By approximately how many powers of ten is the heighe9.ti/a.:tvd:ytbg i4wtd f7 t of a human larger than the heiy:.wit/ 9tv.efgitt: db7 4adght of a grain of sand?

  What is the value of +88 gs2g u8zew6f -jzcmh9o eb$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit vc8n/9vb+ hd 9.xctgu9.-t r-qp w dxain the SI system?

  The volume of the Earth isuc;g yk1i6c b/b8ag 55pzxkm8 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 number of heartbeats of anmwh0-smo8h+cpt) 0l h average a)hwtclsm+ m-h ho080 pdult human in a day.

  Which of the followinr*y4y0)r-jiu f1rqqzg contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation w:0z2g +sgm t ypo2:zzoill give the answer with the most decimal0ptgo:2 syzzo2zm: +g places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Whath (4mya ghwi:h8 5 )cvhoop2v) is the order of magnitude of the ratio between th h h5h (v4:pa)vh)gwc82omyi oe mass of the car to that of the mouse?

  A train travels $60.9 \pm 0.4$ meters in $15.010 \pm 0.03$ 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 o4zmi,8b /faop e s/x/xf a cube with sides of $1.76 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 babx ok24.hg)oy(y7md)z 1 kx hnse 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 $3 \%$, 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 rbvr4bw6aviwq5 l f6i e/78og 8ule that is graduated in millimetres, as shown ba v75bw vbqrf/ 6g4o8 8e6ilwielow.

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 $4.8 \% $ uncertainty in $V$ and a $3.0 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon ,l5; zz3q qqepxa-ax4 is measured to be $29.5 \pm 0.5 \; cm$. 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 $1.4 \%$ and the uncertainty in $l$ is $3.8 \%$, 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 estimxas7 akj:asnc* g+ cx* xl,zx+k,g0 7aated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differet)p bwdf i 6m njn+di+jscl91nh3d8/4 nce ($V$) across a resistor is measured with a digital voltmeter to be $0.11 \; V$ . 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 62-y xko k,ynzq;i(tn8t0zw6y/n1h qa iy nt. quantity which of the following can be.nqnkwyy0nyt 2a;h t(8qiz/yizx to 1 ,-66nk reduced?

  A student measures a distance four times. The readings are 37.8 cm, 35yn ze l:gr/7:vtp-nt7.9 cm, 38.1 cm, 38.2 cm. What is ty7 :tg etrznv/-p:5lnhe best estimate of this measurement?

  A student measures tfu9 -ox/ 4hyu;v7gq) t( tui(hj qbr6ewo 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 and b, are measured toq6epq;3 wn z8)cj c9s;sqii-d 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 quantitp,f.,i-k .kxlldv3p ny P as quantity Q varies is plotted. Theory states that P should vary linearly with Qpkxnk,vf-3d ,.l. ilp.

  The length of a pencil is measured using p6ut;zx(yj yiwuu +nm-. tm..eart of a measuring tape as shown below.itt uu6x.y. n u(wjy-m +ze.m;

What is the length of the pencil?

  The masses and weights of different objects are indea3 wuu:g ab))gpendently measured. The graph is a plot of weight versus mag)b3gw:aa u) uss 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 xeu ci)(nd) +;twics,5nuokf*+s)x z are measured, and the diagram shows the measured values with their u) t c+uz)cs wx )o(+iu;*ied, kfsxn5nncertainties.

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 ub ,y .9dc)dp2 ;tchbmuncertainty of 6%. The radius of the sphere is 3.8 ± 0.4 cm. What ydtb.2 c,)db 9h;cumpis 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:qui3 )g0zr,c 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 the accelerat*pgumpmv7/tyn0* /j ei5 p v(nion due to gravity produces the following rei/(e7ntn*pmu0vpjm* y v g5p/sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 a2bi)i v+jg1p*vd / +l0aw*aoj nda/pw) u9do pn uncertainty of +)/ajvv/un p w1dwpd*ialb * 2)ig9ja0 p+odo$0.5 \mathrm{~cm} .$

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 masyxnx16 lr63mcq 7.ud hs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.8 \%$ 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. z)zph:(z jfb(wtl -1z f9t:qfWhich of the following statements i9(t)tq:: wzf(lhb-1 fp zjzz fs correct?

  A student measures a lengtgop1vvh/:5 zd h 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 ± 0.3 cm long is cut from a longer piece that isa)qmca/l4 h.hqkr hu8s3inht1 :0 j*y 12.6 ± 0.7 cm long. How long is the remaining pieynhcajhsr4i: thk)8/qmlq. 0h 1 *a3uce 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 $\pm 5 \%$. 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 ± 0.6 N j(- qhgpjhpz(9 p k+b8d un r*h:id6d)is applied to a mass of 2.0 ± 0.19 kg, causing it to accelerate. What is the percedpnhk((8-)h qzpjd udh96 gb+p*ir:j ntage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circl ;ti.gmuj6z 4ye of wire is measured to be 10.0 ± 2.1 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) %