Which of the following8.d1 v) f-f wkwnetp9t could be a unit of power?

  By approximately how many powers of ten is the height of a human larger than thi 8ra34dr(yc*j :nio ke height of a grain of sand?c8i d( ik:ynro4ja3 *r

  What is the value of ck/oh) xs q8q.q;9hix$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unitky-q :0vt d,ib in the SI system?

  The volume of the Eatwdt 6* 4dqjfkbb zso29/-mi-rth 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 ndw0rvau1 3(s number of heartbeats of an average a sdu1aw0nv3r( dult human in a day.

  Which of the following contains one fundamental unzl :8a9 1vnbfmit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with t+ eed/biz x uuq(4hz2em r13 l2vnl:9yhe most decimal placvr: e i4q 9myl1l (2ube+xn/3hdz zue2es?

  A car has a mass of 1000kg. Axtqj v n 4-b j+j/+rfinw7/i7z mouse has a mass of 10g. What is the order of magnitude of the ratio betr-n nbq 7/vjji+4fw t+ x7jz/iween the mass of the car to that of the mouse?

  A train travels $48.3 \pm 0.5$ meters in $8.228 \pm 0.07$ 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 sh;fu+ gjn(a7a0r9 i ikrun(u2os- le1 7iil;koape of a cube with sides of $2.70 \mathrm{~m}$. Each side is measured with an uncertainty of $0.3 \%$. 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 orqj1 hix dp kj*idn7gh+3i/8 9f 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 $7.8 \%$ and $h$ is measured to $6 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured usin . mbguhh* 92)zw1o u ;nvwnb/ochs:3rg part of a metre rule that is graduated in millimetres, as showub3 oh)ob;m n*gwvsw hh./2nu9zr:1cn 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 $6.4 \% $ uncertainty in $V$ and a $1.8 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloos8:*l zg4 /jklo/ jzqdn is measured to be $22.8 \pm 0.6 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $5.1 \%$, 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 arv0a v3wy9k(: p+m:hvsw0nb qye 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 differenckh/r7/eny,i/s+ wd ez+ 7mvdze ($V$) across a resistor is measured with a digital voltmeter to be $0.52 \; V$ . 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/i 67wza6grn h9hzyh- rements of the same quantity which of the following can be red66-yw 7/ zarih9hnh zguced?

  A student measures a distance four ti*ds/0r p 5imptig +p+vmes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is th v+0isp *r+/g tpp5dmie best estimate of this measurement?

  A student measures two lengths 0tpc 6,i tts14sktt 8vas 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 measuredj 718 t3z j+waqgb2kld 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 plotted. Theory states tha )d ke. ;ot;maxpcv0u.t P should vary linearly with dvo;)a k;umecx. 0.tpQ.

  The length of a pencil is measured using part of a measuring tape as shcap/.hlotmw)r( cp4la(71h jown below.74 ahplar wc(mpol )/( jht1.c

What is the length of the pencil?

  The masses and weights of divd)-h wfjh7 7lfferent objects are independently measured. The graph is-v7hj) h flw7d a plot 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 sid 0rh-xbo 6hn;l:7djy, p4fgvhes of a rectangular plate are measured, and the diagram shows the measured values witph,r7yljhgo4x bv 60- d ;fn:hh 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 uncertacbn-(1it jk 9minty of 3%. The radius of the sphere is 4.0 ± 0.5 cm. What is the percentage uncer9c-1tn kjmi(btainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown th1w (pi3yen ,fvat:
$$
P=\frac{g h^2}{u^3}
$$
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 measuj1ijydp 3lb9g2 : dil2re the acceleration due to gravity produces the following resu p byj3idi 9l1jld2g2:lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 each measurement w( -(k2ra wq4yqx xfi+has an uncertaintf-x( y+wqiq(a xw42kry 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 massak23nm8 (hd duk- t dda**e.ue $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 follq tmyv : n krh/:ego62e+xtc+2owing statements i+: o2/mk :eetgq2v6 trnh+xyc s correct?

  A student measures a length five times. All of the measuremenzfuja b4 i/1(jts 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 ± 2v w/i2o awzrjp4;i6 n0.3 cm long is cut from a longer piece that is 12.6 ± 0.5 cm long. How long is the remaining piece oz6;pri/24 vnw2a owj if 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 $\pm 5 \%$. 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 N is applied to a mass of 2.0 ± 0.1-f20xu yu(a e-isfl 2onelyob /43g5l 6 kg, causing it to accelerate. What is the percentage uncertainty of its accele(s -eglea-y 5xoiu y0 ounb24/ ll2f3fration?  (数值) % (do not include the percent sign in your result)

  The radius of a circleu8p*l jz:92uxcj, daak;b7p4 sw b5kf of wire is measured to be 10.0 ± 2.1 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) %