Which of the followinoo1 h6vm15g8t hnqe9c g could be a unit of power?

  By approximately how many powers of ten is the heig/)xqqiz m9sn m 4v n0w2vo-co:ht of a human larger than the height of a grain of sandznm/v) 4vwq2oon scm0: 9-xq i?

  What is the value of nvcp:2*jb.s z hq 0x:s$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamegzg0b /e5: hyban:bp .ntal unit in the SI system?

  The volume of the Ear4p )u.n).jo d vxwvp/u-akjp,8 qry: qth 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 nearest order of magnitude, the number of heartbeats of an averj. rr4 6ujuv1n2g3cgj age adult human 3cuur.g2jg r1nvj6j4 in a day.

  Which of the following contains 90l y kl(c60f qbr zho/gnm0f:one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give to+: x:9bd) 7tx7va f*myf9ll0 bzv- xvcys3r the answer with the most decimal plas a*lxzo73cd:vfl0r)t9v9v m+ybyf -xtx b7 :ces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is tg849 wn*gcb)svn ogz (he order of magnitude of the ratio between the mass of the car to wc8gnozvb *94( gn) gsthat of the mouse?

  A train travels $87.8 \pm 0.4$ meters in $14.610 \pm 0.04$ 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 shape of cgpmdn;a -7d,-j lz0 ba cube with sides of $2.20 \mathrm{~m}$. Each side is measured with an uncertainty of $2.5 \%$. 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 base of sidlz3isyis)epe8 :bxy9 ynnxw5 ;t:p1( e $x$ 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 $7.2 \%$ 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 graduatv,s 1cjr1 t:hked in mr1v ks ,jh1ct:illimetres, as 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 $4.4 \% $ uncertainty in $V$ and a $1.7 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ball 2ihy7m4-+wpi kiis)aoon is measured to be $28.4 \pm 0.7 \; cm$. 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 $4.2 \%$, 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 estimated +nd-b -fg(eusas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differ.6cp/yp m ; nb*kncimgv0c u*lv0u. q5ence ($V$) across a resistor is measured with a digital voltmeter to be $0.66 \; V$ . 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 quannfzo0 *g8jgu mtvoc( 8p7xz ;2tity which of the following can beogfgt 0o j*u78zzx( v28cpn;m reduced?

  A student measures a distance four times. T mlxw,6xazy 51jzi8cly 6x/; yhe readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thjc z6i 5, xl/ymy;yxlaz8w16x is measurement?

  A student measures two a ym804lxkp-:hg0 wq1vc2 6ncsx- axwlengths 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 measur9mc/oxh ): a3qw vhsq fr59wt(ed 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 quant-i n fh)nbt*of3:(fma ity Q varies is plotted. Theory states that P should vary li-hot) * 3:bmff( fnaninearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown belo ;1/)y +qwqh uatbpsh,wbh+,yqqu ; a )h/swt1p.

What is the length of the pencil?

  The masses and weights of different objects are independentl xw. x+xdd*)hxy measured. The graph is a plot of weight versus mass thadx+ )h.xwxd *xt 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, andacyat ml-: +phgf8)c 7 the diagram shows the measured values with cl g:) pt78+-ayfcmahtheir 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 nylbm 7s6;ov9 percentage uncertainty of 6%. The radius of the sphere is 1.3 ± 0.4 cm. What is the percentage uncertaiyn; 6s 7vlbom9nty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has show1.kv3k nrtn y/n 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 d0r x:ln c9;bjzue to gravity produces the following res9;0zcbl jr x:nults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ryp3kgj1j8 5j fuler, such that each measurement has an uncertainty kyj83j5j 1 pgfof $0.5 \mathrm{~cm} .$

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 massdz6nac mf99ifi1;g,or d9/y f $(2.0 \pm 0.1) \mathrm{kg}$, 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 e: 4rvw+5thzgfht zo:4 rror. Which of the following statements is cozzh:tw 4g4 :oft5rvh+ rrect?

  A student measures a length five times. All of the me szlc )-t;ufae hb25)wasurements 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 pieej- s2;nz6fia j/5cji ce that is 12.6 ± 0.5 cmii jsz/5fj2a 6n- ;cej long. How 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 $\pm 3 \%$ 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 ± 1.2 N is applied to a mass of 2.0 ± 0.07 kg, cau*tplv9 i zb7d2sing it to accelerate. What is the percentage uncert2d97 zltbv*p iainty 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 wf0((d vus+1jw 2opyd1o zbu010.0 ± 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) %