Which of the following couldc d2ot4t6wr; edo z.k1 be a unit of power?

  By approximately how many pow(il4dsdks k )1cw8 0lgers of ten is the height of a human larger than the height of agl w01si(skk 48d)dc l grain of sand?

  What is the value ofo 7ef:,zglh*y $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit i0ad qj2v:+bgnz;-)gz ir qmf 4n the SI system?

  The volume of the Earth is approxk , rpfrcb:mcgk980p0 jll-7 xds5j6gimately $10^{12} \mathrm{~km}^3$ 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, t91ye::bye -rq7i gh zuwa;ui.hn,k 9ghe number of heartbeats of an aver. -7 9uinry: b zauigh9ee;hwqky1g,:age adult human in a day.

  Which of the following 6com: - kqnyu9contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer +zpisajf)dyv7h 4k 5 *with the most decimal places?7i *)yhsa4 + jvpkzfd5

  A car has a mass of 1000kg. A mouse has a mass of 10g. Whg .-gjllhr9.fo (7qn4c qn/xe set6p+ at is the order of magnitude of the ratio 6ojsxpn +rllt - qnge7.h.4/q 9cg(febetween the mass of the car to that of the mouse?

  A train travels $69.1 \pm 0.5$ meters in $14.462 \pm 0.07$ 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 shape of a cube i+/nbac2 :wqzp7w d0kwith sides of $2.69 \mathrm{~m}$. Each side is measured with an uncertainty of $0.7 \%$. 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 bacd n/8b3-lan /dl2 s *gqr t*5tsbl0mmse 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 $5.1 \%$ and $h$ is measured to $3 \%$, 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 th3/lwajr5 v g8iat is graduated in millimetres, as shoigw5a l83j/vr wn 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 $5.6 \% $ uncertainty in $V$ and a $1.1 \%$ 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 i 4xlk:cy jg8/ts measured to be $19.3 \pm 1.8 \; cm$. 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 $2.4 \%$, 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 roomvs 61a8n-frbny( rf3k iu: opj(w9uno.. gbz- are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 12 \%$. 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 differencowe6j5fhwrf qkqrm.46+ p7 lg+a4f( ie ($V$) across a resistor is measured with a digital voltmeter to be $0.81 \; V$ . 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 ; yvl,t n)3 tbj9hmd((fro1nfof the same quantity which of the following can benj tt,omfrf )h(l9v( y;ndb13 reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm*kpzuk *s9 uh:f x2of e :rvl,+n7/yfy, 38.1 cm, 38.2 cm. What is the best ef *9enzuykh x2r, s po/fuy7:*fl:vk+stimate of this measurement?

  A student measures two vz ruspwwt.z7-37nq71rp 2uo 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 ntrf/0b7tab )-gr q11mp(waj 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 : iy+oj 6gmm,vplotted. Theory states that P should vary linearl,j govm+6 :myiy with Q.

  The length of a pencil is measured using part of a measuring tape as taq1klbk 7,(m b-i u*szm.uf 4o fv,6ishown below.l -s67kai f,,mutik4 bb(q* .vomzuf1

What is the length of the pencil?

  The masses and weights of different objects are indepda 3m,d-cae-j h/ xd*+kady7 mendently measured. The graph is a plot of weight versda*hakmdmcyx,+j-d / 7d3a e-us 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, and thep;f/93upo0h ixvxn( x diagram shows the measured values with their uncerta;i(n9hx3xp/fux 0vp ointies.

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 of 2%. Tol 6a2 lyzba;3he radz3 a6;y oll2baius of the sphere is 5.7 ± 0.4 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thatu 3gv1j* p3j 6eulks.t;2u ryn:
$$
P=\frac{g h^2}{u^3}
$$
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 dua*r ,.06mb)iskqpo ip e to gravity produces the followiis6 .o *m0pi)ar,bkpq ng 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 rulerm,4:xa4.u lt*ai rbvc, such that each measurement has an uncertainty ofura*b m l:.,4tcx va4i $0.5 \mathrm{~cm} .$

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 l:xts;p3xcf5ectgu ) : ;hvn($(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.7 \%$ 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 folq5j (ra j 6g0ryqofm,,lowing statements is corg,f5(qr jy6, qmaorj0rect?

  A student measures a le4gjkqz rnm, / 0da3r*fngth five times. 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 longer piece that is 12.6 ± vn9s ap8*mig. 0.6 cm long. How long is the remaining piece of strinsn gv8 .a*mip9g?

  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 $\pm 7 \%$. 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 ± 0.9 N fw tvap js 4sv48g,mqf (3 07ov/fbk6fis applied to a mass of 2.0 ± 0.19 kg, causing it to accelerate. What is the percentage uncertainty of its acceleratiom/awfg6,tfvq pv3f7k(jso4 0v4 8fbsn?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ±kifi8fr+rzbw /)p8 l xjq7y(6 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) %