Which of the following could be a unit of qqvh radc55c(3w 1 d:rpower?

  By approximately how many powers of ten is the height of a humana poo/+( k7q.c:myvac larger than the height of a grain of/7qocmv.ya(po k a+: c sand?

  What is the value of64x8f m ek59iral aoz5 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental uniteyc . e9l 3cj(csc6qu. in the SI system?

  The volume of the Earth is approximate8x j :jglhh3a8 c4 n/rjvyit72ly $10^{12} \mathrm{~km}^3$ 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 uqvrmuv+r6/vx,wd 7, of heartbeats of an average adult human in d u,u v7+xqrrm6 wvv/,a day.

  Which of the following containqa .oov-:40k c0jdtp qs one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dec,+t;ox/3(.j ws db8qv*qbb-dv xlgx kimal v; qx bqw. -xgtxk*s/(8bd+jd3bo lv,places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of magn 9nu1dm-qd+/4lqie icitude of the ratio between the mass of the car to that of the moudm9du14+q ni-eq/l cise?

  A train travels $89.2 \pm 0.3$ meters in $9.238 \pm 0.04$ 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 a cube with srg): 4 :pi-wbhtszv) gides of $5.12 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 o sdg*m t fa8dw9k s8vqau1n4+8f 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 $5.2 \%$ 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 penc8c(gxav+ u5:ajv cvl *il is measured using part of a metre rule that is graduated in milla(*ulacv 5j + x8vvc:gimetres, 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 $6.3 \% $ 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 meas. v z o.ex*:oafznqz26ured to be $17.7 \pm 1.0 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $5.7 \%$, 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 y5dt564 (pzldyntn h-y4 )lib-vwnk )$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differenaz5ke.,gt rk z2)t x:,g9ex jyce ($V$) across a resistor is measured with a digital voltmeter to be $0.75 \; V$ . 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 mea 25ts5 ywt;j- ixt8 xl0: ;7x ckvuivsg+akfr(surements of the same quantity which of the following can be reduc5kyvt5ju x0(vi x wkrt ss8f-t72;;a:il g+x ced?

  A student measures a distance four times. r k8we9:pl*j5 owdvh6 The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this meaw*jkr8:vo65deh l9pw surement?

  A student measures two lengths as foll02/ 5x(zaagongtno )pows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, abr4p.pnq; xy 0 and b, are 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 quantity Q varies is plott-l u mzcy2,vf:ed. Theory states that P should vary line 2:clyvm,uz-farly with Q.

  The length of a pencil is measuhjd/. iz*5lb3j w1w (w1vyyis red using part of a measuring tape as shown below.db/w3 zw1jj1 i *s5.lvwyy(h i

What is the length of the pencil?

  The masses and weights of different objects are independenwvs o2/y7i :b4 ;lzwlmtly measured. The graph is a plot of wewi7/ l wz 4bys:ol2v;might versus mass 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 are measured, an (fjqgi cbi(x kop01+-d the diagram shows the measured values with thei-kx(b 1gf i0icop q+j(r 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 uncertaintyfeq; k :*xqsxd:,k 2ep of 6%. The radius of the sphere is 3.1 ± 0.2 cm. What is the percentage uncertainty in the mass of the sphere? d:x kp;fe :*sxkq2qe,  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:kz2dh7u jmpju2 , *o7q
$$
P=\frac{g h^2}{u^3}
$$
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 the follou2esxl5 bcx49 xj;*tcx79th o wingttcexhcxbx4* 9ou; 5 j7x2ls9 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 ,vq)5/ u*xybqei/b ze each measurement has an uncertaintub *q5vqz/ee/,b yix) y 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 masswf,q ,op/ ms348ymu pn $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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 f/jkcy eud f* s;h5)6ciollowing statements is cojuc; /if d)y6c e*shk5rrect?

  A student measures a length five times.ohtpg, e4l/hb 3.xx* y 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 long*b f5ah6lh4tvkb 6qa 2er piece that is 12.6 ± 0.6 cm long4hqb6bhv6 k atal25f* . 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 $\pm 5 \%$ 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 ± 0.6 N9oc rrwz//r r/ is applied to a mass of 2.0 ± 0.08 kg, causing it to accelerate. What is the per/rr9w r/ crz/ocentage 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 ± sn bo+ak;2cw5 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) %