Which of the followi4zaiy eknry 6jh; t;2/ng could be a unit of power?

  By approximately how many powers of ten is the height of a5ttc-u1e v2:d) hzbj i human larger than the height of a grain oz:2uv tt )5dbeij hc1-f sand?

  What is the value of w02weeneua; e97nlg:7b tym7$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundament9w+vbw)w my3n al unit in the SI system?

  The volume of the Earth is approximap ur(r3c l8c r/fs;1vltely $10^{12} \mathrm{~km}^3$ 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 heartbe/qg5h +a nzqpm( hm5x6ats of an avera5 6m/hzxmhqqn+a gp( 5ge adult human in a day.

  Which of the following contains onevb 5z4i vfttoq-1;z9w fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will5ae4 ;8r5jeadt nv h-09uim zv give the answer with the most decimal place0evdmv j9 8h4i; u nt5aer5a-zs?

  A car has a mass of 1000kg. A mouse has a mass of 10ulm-58*1m1v .g isd 3dcfke xfg. What is the order of magnitude of the ratio between the mass om3m.xvc8g1uf* f-dlsie 15d kf the car to that of the mouse?

  A train travels $77.7 \pm 0.8$ meters in $5.727 \pm 0.07$ 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 sgxy7 47zbevl(hape of a cube with sides of $5.16 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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 bah fj5 r ;9sazyn;y7 l3i6v+qedse 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 $6.3 \%$ and $h$ is measured to $5 \%$, 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 graduated ako ntd8y8un97g)hfgn.3o dow7vb, 9 in millimetres, gnfdvu9o3,97 hka7wb)non8g y.otd 8 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 $5.8 \% $ 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 isjxp zg)ojaj +jfzxd/*d.a66 1 measured to be $20.1 \pm 0.6 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $4.1 \%$, 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 estimated as;ltxnwo,xk8w3f uu * /v/ zb8q $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 ( ogz- f3oe3t(686e2 ;nni kpmk dul)fm$V$) across a resistor is measured with a digital voltmeter to be $0.50 \; V$ . 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 measuremen2xm086 q ov)g6ryles tts of the same quantity which of the following can be reduced?8 oeyq6rl)g0 vx26smt

  A student measures a distance four times. aybqce(/d 32 t(h)ghbThe readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Whab3(2 ch(d)tey bh qg/at is the best estimate of this measurement?

  A student measures t7)t(f gvh/ izhwo 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, arehl 0,naso47tli p *g(r3vq+z c 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 a2 9kdy 8aqfhb/ vz-a1es quantity Q varies is plotted. Theory states that P should vary linearly wibv/2ekq zh9d-fa y a81th Q.

  The length of a pencil is measured using part of a measuring tape as sh wq4u4q .anewoyzhsp1u w745ch7o)qv cd o712 own below.4q 4q77uduhnaco4.7zw1 s25wyqc pwhe)vo o1

What is the length of the pencil?

  The masses and weights of different objects areiqh 2q 57l1 z7tcatlg- independently measured. The graph is a plot of weight versus mass thq5thq7 l2g zc- 7tl1aiat 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 oi5i2n;.3(bgomdgsjh) 63n qocyrm9plate are measured, and the diagram shows the measured values witdi;mmb)33rog(6o5 gnhj 9ni 2oysc.q h 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 uncertainty ofm0i0 vy, smb-pgx*ui3 4%. The radius of the sphere is 2.1 ± 0.4 cm. What is the percentage uncertainty in the mass of the spher img us ,0mb03vyp-xi*e?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:mmd * et7ah kx8s6;jy2
$$
P=\frac{g h^2}{u^3}
$$
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 gravity produces th:l tj3 mtn8)-keffhtw t8 9i*be following resultsb )8:3ie 9hfnttw ljt*mktf-8:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usin7c)b in1) z:96wkazlivynh:jz 4qq w2g a ruler, such that each measurement has an uncertainnzqlw z7a:1 hnqj:c4 9w )v6ibzk2y i)ty 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 l/u:1hjonm8 gs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.1 \%$ 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 the foqhzyfr6v v4qm; oclm.x1xn 9*9nn)m9llowing statements is corro)zlhv *9 q; 9 9cqxx41ymrnmn f.n6mvect?

  A student measures a length five times. All of the mg; v ug+fr+*;0 rha 4bxx2iswxeasurements 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 isv f u)q*d.*mhg/dlu / 2is/hnbu8v) fj cut from a longer piece that is 12.6 ± 0.6 cm long. How long is the remainifuvl* h*/2 )smuj).hgdv/bd /iqf8n ung 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 $\pm 4 \%$ 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 ± 1.4 N is applied to a mass of 2.0 ± 0:bky6 yql, 7;sy3)g*yhloa cg.01 kg, causing it to accelerate. What kqho y yy)c:7 a;y gs6*bl3gl,is 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 m3 ocfzra+o7 y w dvu-*4k8me/seasured to be 10.0 ± 2.2 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) %