Which of the following could be a unit ofar gybmyf5r(a 0--zx3 w+*ffb power?

  By approximately how many powerhtj rwzaiy9v. 0nu1 5.s of ten is the height of a human larger than the height of a grain of sand niurt0 1j5.9wyahv .z?

  What is the value of z*mr 2efwmc9 1 7l 4ig;ao,noy$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syw:t7gm 2/zn9 d1f mketstem?

  The volume of the Earthl5puy6hc n.:p i. 6nkg 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 number of mh7.sxc o7u/ skr 56c5vsgsr+heartbeats of an average ac+s5r/6ms7 sso5 xhrk. 7 gvucdult human in a day.

  Which of the following c,bmkg6k/ (2a v ffedy+ontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the vo, upo,lj-k rql5( c-y(jf9kanswer with the most decimal fjjk 5qyr,(ukol -olc,-9(pv places?

  A car has a mass of 1000kg. A mouse has6;bn-9 hj;l qjve fm3l a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mouse?- jlnj fm;;3hel 6bv9q

  A train travels $59.2 \pm 0.2$ meters in $3.384 \pm 0.07$ 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 189mj-us c divshape of a cube with sides of $4.65 \mathrm{~m}$. 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 basehw2 )cn ;-xzfm;zw an-r9t x-s 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 $4.4 \%$ 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 using part of a metre rule that is gradcpg m-q.hr54p- m8deduated in millimetres, as sho c-8e r m-phq.p45ddmgwn 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 $4.6 \% $ uncertainty in $V$ and a $2.6 \%$ 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 mepcte,qp-i+gw8 25o:: ufe j cf.i/plxasured to be $16.5 \pm 1.6 \; cm$. 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 $2.8 \%$, 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 estimao1 .e zb8cdhlh*uvw 6e. ;h1pfted as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differencewehce;0iu+2qtc + z,v ($V$) across a resistor is measured with a digital voltmeter to be $0.54 \; V$ . 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 of the sarue)bj *zte xd:0 e61wme quantity which of the following can be1)dre*0 utwe b6x j:ez reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 6t xdg 7aqc/1z-/mn.qgq ffk0 38.1 cm, 38q6xd f qzgnt q a/.g70f/k-1cm.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follox.- es ts2mw6l*k: ynnws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two eventsoy/h ph3.:w ye, a 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 plotted. Theory stat9,(ya) uxdq jwr ,mio*es that P should(i,axy*wmj qr ,o9 u)d vary linearly with Q.

  The length of a pencil is measured using part of a measuri*px acnds z ve e-.r0hj,-9:srng tape as shown belowhn.j0p--v9rae, sez x*sc : rd.

What is the length of the pencil?

  The masses and weights of different cl r2a+1rehhbyo mk++6:yh.wobjects are independently measured. The graph is a plot of weight a+rro1yeh+m.: lhyc2 bw h6+k 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 sideslhp0:mlf d() c of a rectangular plate are measured, and the diagram shows the measured values with their uncertlf(m d 0p:lhc)ainties.

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 percent*962iz wzs0 mbplb.chage uncertainty of 2%. The radius of the sphere is 1.6 ± 0.5 cm. What is the percentage uncertaim*sp z9bhw. 2bzl06 cinty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown th lb v1z.fbd0g3 en8l-jat:
$$
P=\frac{g h^2}{u^3}
$$
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 ty u d35vc/b9r(avc0z ohe acceleration due to gravity produces the following results5r / v0vc3byu a(cdo9z:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 has an uncertalh j)o2bxc( j4 o0os2qp+ zq-yinty)x+c 2hy0ozjso2 bqjplqo- 4( 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 mass :r 9-6mpgkekyf 1r9o2 ky3xeq$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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 : h*2cx.)5z0ibaqlq: mygxzprcy5q+ . Which of the following statements is.a5xlgic +ymb : rp2yqhxz q*c0q)z5: correct?

  A student measures a length five times. All of the measurements lie betwee;fatrmr1ohrv.rp- 8qc: :. tsh j9b-hn $18.8 \mathrm{~cm}$ 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 ± 0.1 cm long is cut from a longer piece t u ig.* 6x**ibn1yghxbhat is 12.6 ± 0.y** x1n*ixu6ibg .hg b5 cm long. 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 $\pm 8 \%$. 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 ory hy.w;8gy/,dy.p sbf 2.0 ± 0.13 kg, causing it to acceleratsd, 8wp/y.by.hy;y r ge. What 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 mx58n l+40)ewdpedp geeasured to be 10.0 ± 2.3 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) %