Which of the following cl2ksoadm 51tb ;*a2 juould be a unit of power?

  By approximately how many powers of ten is the height of a human larger than t/fq. +dko wkk/he heigkwq f/o +/d.kkht of a grain of sand?

  What is the value of /,b7p)wip4t0c- yor4a/ -ffm 1 bndmo 2 delge$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit i wq.0ned1)rv7ut/ hoin the SI system?

  The volume of the Earth is approxi3 ss iazohwi6 tx nw+;)38;cedmately $10^{12} \mathrm{~km}^3$ 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 og mwhk)nc /. 4.z+wnsan average adult human in a day. .m 4nko)hc.s+ gzww/n

  Which of the following contains one fundamental unit and one derive:*ar rn d hxa2nts* 02i6xf6l*.zj suud unit?

  If A=10.0 and B=0.50, which calculation will give thj wjw16 r4b9y+ihze e7lx)wr :e answer with the most decimal h6e:4w7 9wz r+rw jxbeyjl1i )places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the ordeu3 cb(5m 0ad*evn2crqr of magnitude of the ratio between tq20 mbu*r vad5(ncce3 he mass of the car to that of the mouse?

  A train travels $55.7 \pm 0.4$ meters in $6.858 \pm 0.04$ 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 .kv 7v hvdhta6,perqu;g pq8(c 316hc of a cube with sides of $1.93 \mathrm{~m}$. Each side is measured with an uncertainty of $2.2 \%$. 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 s0v ge *yr -7: m,s.mk20cizlz zh rx:azem7pw4ide $x$ 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 $5.7 \%$ 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 gqpx3l0x8uxnu i . .l5in millimetu g.u.lxxlp 583qi0nxres, 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 $4.2 \% $ uncertainty in $V$ and a $2.9 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballooni ;)bk-h2se9rh,pre f is measured to be $15.4 \pm 0.6 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $6.7 \%$, 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 sidesh(zw f-cfb.d / of a room are estimated 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 differek:o07 f+8wmzwvb-c:s+8d+ qigmmy ntnce ($V$) across a resistor is measured with a digital voltmeter to be $0.41 \; V$ . 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 measu x)qd /ij )oc.l)i1sgprements of the same quantity which of the following can be red.g i) dpq1/ic)) loxsjuced?

  A student measures a distance four times. The readings ar9 vh yd8;q n:zdrz-n/ue 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of t-8 ryd;:z z/9dunqnhvhis measurement?

  A student measures two lengths as follows: y 1qnyj1 z;*b0ci4nkn $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to nl/-p+u aqu hivjx sq,3m9)7qbe $(5.1 \pm 0.1)s$ 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 plottedyxo q 09bmw8 gm;kcv0+u8x*bm. Theory states that P should vary linearly with xqy0 m 8oxmvw9;0k *gcmbb+8u Q.

  The length of a pencil is measured using part of a vos2ll85 c-:8;tirl 4 eszt pameasuring tape as shown below.5 -cztilre 4a p8s;8l:2votls

What is the length of the pencil?

  The masses and weights of different objects are independently ).oee v tq2h;imeasured. The graph is a plot v)i ;2he tqoe.of weight 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 recta )zf9a.etsolb7s eb a88r) /vn(z ypgeg/;ux -ngular plate are measured, and the diagram shows the meroe8 ./-p)azsen/9 gzbyal; 8gv7b sxu()te fasured 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 m 8ozj7d+ml 2vdeasured with percentage uncertainty of 7%. The radius of the sphere is 3.7 ± 0.3 cm. What is the percentage uncertainty in the masd7oj8dmv+zl2 s of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasiw p0w u 8e2lzi,(fbp9 73k ,sldbrqg- 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 the ay g: we egsc0bbgt-(v:sh r /js/n88*occeleration due to gravity produces the follow g: bc0tebsjryg:v(e*/os /-h s8n8gwing 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 e8o78ikyh pk(p ach measurement has an uncertainty oky hk(7pip8o8f $0.5 \mathrm{~cm} .$

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 : f x.llb3:hxplsk*:;est) za/ xh(xq$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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. Whiftf)eq, ( es8kch of the following statements is correct?8 qft ee)fsk,(

  A student measures a length five tihtry ) p3)kt3hmes. 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 fr sdkrsv4om/6bx4ig-3 0* j06 lpeelnjom a longer piece that is 12.6 ± 0.6 cm long. How long is thek ideol-ss6rnm/b6jle gv 0p *4 340xj 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 2 \%$. 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 og m5og a)f-c/bf 2.0 ± 0.11 kg, causing it to accelerate. What ioagcb/-m)g5f s 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 measured to be 10.0yg k/5wbt8p0h+ qge0f ± 1.0 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) %