Which of the following could be a unit ofl uo:m3oxqc 40 power?

  By approximately how many powers of ten is thelhzk q(g oxj 59o52i2p height of a human larger than the heigh(qog 5922lkx jz5iopht of a grain of sand?

  What is the value of(d ;pxk8p3,apevpz 8s $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the +y50 mo(dzmw zzn 7iw:ueb/ z4SI system?

  The volume of the Earth is approximately o0 b3 rtkv,)vll tj m)l)ecb-eflg7/0$10^{12} \mathrm{~km}^3$ 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 ms 4qnsjavxxcf/w q.3s)+62cheartbeats of an avera.c3jm+q6)csfxn 2 wqsxv4/sage adult human in a day.

  Which of the following contains one fundamental unit and ozm+m (.ru hv3 mmk0d+lne derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mos3kcj/:hb25 mt qyza 7 7zi(jzqt decimal placesj5z(j qzb at mc/27khz7q:y3i?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Whaoi5 j-u ym,q/eenjd 7c-(v1 plt is the order of magnitude of the ratio between the mass of the car to that of the mouse? jc/5 lp,7-ve-noijum qy(e1 d

  A train travels $37.5 \pm 0.6$ meters in $11.903 \pm 0.09$ 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 shmsv/s) 6 -3vwyxhwr m/bma*l9ape of a cube with sides of $4.29 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 squarg:y17g+pa0dg:r 7)ghnmlo bk e base 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 $8.7 \%$ 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 measured using part of eka27(gffgqs- 5;xv la metre rule that is graduated in millimetres, as shown x(lvf 2e7 qg;-fgk 5asbelow.

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 $5.0 \% $ uncertainty in $V$ and a $2.8 \%$ 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 measured *g vt5 w8m.e* sb hfjg60af.zhto be $20.0 \pm 1.0 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $6.1 \%$, 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 - fi,k-*om oafu7tpa :estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 differq 0g/b, wnlcph+b r. 98rksks,ence ($V$) across a resistor is measured with a digital voltmeter to be $0.81 \; V$ . 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 following c uptxe pffn.b; 634cnekdpk52u(e;:c an be reduce6 f 5;xepfpne(kct2:dn u;ue.bpk34c d?

  A student measures a distance four times. The readings are 3 splnbdrwg:cc23+v ; 8;d578fckcii z 7.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Wccwg+ii d2 f8cskn8z5 v;3p :cr;bl7dhat is the best estimate of this measurement?

  A student measures two lengthouseu xy4yt20 sc z yxw-2/4s4s 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 measurem- n/uhk- rz6aet7 ,22vhzbkbd 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 varizem+bbm( . x3zes is plotted. Theory states that P s3z(mmzx +be .bhould vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as srm rh36 y(at -sxy(tbyxit833hown belowy-hir3t6trx(bsyy 33 a x(mt8.

What is the length of the pencil?

  The masses and weights of dif+v. 3dps88rzkaad,l5 qy oe7zferent objects are independently measured. The graph is a plot of weight versus mass tdd 8 ar,8e.5ak zs ly+3p7qzovhat 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 m7hx- kb fo+u;geasured, and the diagram shows the me7u;fh+- xgb koasured 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 sphere is measured with percentage uncert 1y*gr 7i pgxhnm+(e+qainty of 2%. The radius of the sphere is 5.5 ± 0.5 cm. What is the percentage uncertaintgr17+yn q*mi h pe+g(xy in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data ha2g.f0 dvw8 ld rzb.qyglq*:gh z(j an7e:un;7s shown 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 th:5bhau-:d kzd9l x ff/e acceleration due to gravity produces the following resuldf/ufx a hb 59:d-l:zkts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 egfds2wbf 7r92 ach measurement has an uncertaintdg29 sfbwr27fy 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 mass :m 3k90cq6fhfk1tfhk i/ pze7 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.9 \%$ 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,xif:q 7vifj;. Which of the following statements is correct?fv: ;i iqfj,7x

  A student measures a length fiv cnl*ft;b/urltdat -5 c-:tlbleqo6q)x* w4/e 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 is cut from a longer piece that is 6,6aqw, tlex ts7q rc4eyj8a, 12.6 ± 0.6 cm long. How jtw,,,eqca67elx6tsqy a r84 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 $\pm 3 \%$. 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 ± 0.3 N is ap z0*6 vadlvz ikn/u:8 b4aqp)zplied to a mass of 2.0 ± 0.07 kg, causing it to accelerate. What is the percentage uncebz/4 )dan0 kl6avpzziq :* uv8rtainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire i:)raxe.dyoh8 s measured to be 10.0 ± 0.5 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) %