Which of the followin:;smzms ao 4k6zag),qg could be a unit of power?

  By approximately how many powers of ten is the height of a human larger74bp-1ok;n:kf vp):rz2vbmf ;d xdas than the hkda; b)rf2p1x-v4s: :ond mv;7zf pbkeight of a grain of sand?

  What is the value ofctsv4482w wzv5rcrfg,. sq1b $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following *f c 7cirg(a-bis a fundamental unit in the SI system?

  The volume of the Earth is appr6 yq 3ogrw+ t*hsp;3 (yulo5jgoximately $10^{12} \mathrm{~km}^3$ 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 :kzzz1ukeg9gk/vvqn3/8 c0f .tmw q -number of heartbeats of an average agc3 -k0 vu:vq qk/zzt9f.8gwn z/ekm1dult human in a day.

  Which of the following contains one fundamental unk +9ptl,5xl tnit and one derived unit?

  If A=10.0 and B=0.50, which calcula7xlaf p:f5ljg/ o-g. etion will give the answer with the most decimag:5 j f/7xeoap .f-lgll places?

  A car has a mass of 1000kg. A mouse has a mass of m nk 4,lhpxy2w d-vcq+y wr7c ,9**ias10g. What is the order of magnitude of thlhq *y, m+n4* cxsw9 -ai y2kw,cvp7dre ratio between the mass of the car to that of the mouse?

  A train travels $43.6 \pm 0.7$ meters in $9.008 \pm 0.07$ 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 wcjio :* wwf0 bh6vvc.;ith sides of $4.76 \mathrm{~m}$. Each side is measured with an uncertainty of $2.0 \%$. 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 b*8b6 iu;fg *vnqo6g jhl m2g2iod3ef )ase 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 $3.8 \%$ 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 )r j 5x.4gvv1sy0z;px0 fo ci w7c8yymmeasured using part of a metre rule that is graduated in millimetres, as shown )sr0xv8y 0.5f1y7w pcmzov yg4c jxi; 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 $5.1 \% $ uncertainty in $V$ and a $1.0 \%$ 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 measu q oqf5fjp/zcbw(8 5i;red to be $21.4 \pm 0.6 \; cm$. 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 $1.0 \%$ and the uncertainty in $l$ is $6.5 \%$, 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 roomw m3bs5:dwr 3t6bqr8v 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 difference;6t e +3yciunh ($V$) across a resistor is measured with a digital voltmeter to be $0.28 \; V$ . 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 same quantity which of the fk3amz q w61w3hollowing can b1wqhk33wz 6ame reduced?

  A student measures a distance four times. The readings are 37.8vl pt l*w288kawy u)7z cm, 37.9 cm, 38.1 cm, 38.2 * ylua7)tp vw8 wzl28kcm. What is the best estimate of this measurement?

  A student measures two lengt(ydfbeun(dpw v f:)3*xt).i ) ilz3lahs 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 bjei2 x wv*uqn6)2 rs+i, 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 statesir qcnx q8obb8y ib.7h.sma;6lmx7y 9h7 j.2 h that P should vary linmb7qr x 8xqbny i6h;l7a.y7o.9m2c h si8bj. hearly with Q.

  The length of a pencil is measured using part of a measuring tape as showpjg 6j*fe7l 5 j,.opien beloweo j,l.5 *6pgj pfei7j.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grb +dd7g/j lw y:- ixx87fpt3raaph is a plot of weight versus mass thddwyi7b+7px/8f lxt3j-:agr at 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 m74 heoj93f)f-nfejlthe diagram shows the measf7l e 9-n4f efmj)j3ohured 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 measured with percentage uncertaintff/ larmjyr+(m7e b 49 6hg 9;cjfcg,vy of 4%. The radius of the rch evj m9g,j+afbfcl(74y m9g f;6/rsphere is 3.1 ± 0.2 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 showr;r h+5ale*fl2 um 1 ;i3tlwgpn 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 thoozaj:;w. l8usz 65 kwe acceleration due to gravity produces the following resultso.:wzzs86; kl5ao w ju:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, jkd0/uw96g; a r0kb hlhb cz77such that each measurement has an uncertainty o lbr 9g h7 bu06z/kcjhkw7;ad0f $0.5 \mathrm{~cm} .$

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 massq+j3omb:x ws+ $(2.0 \pm 0.1) \mathrm{kg}$, 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.qcn ipe+iad38t r29(y 3ejj3.syrj i+ Which of the following statements is correcyq3i(st3 2 jji+p.n3 e8y+ aridrej 9ct?

  A student measures a length five tir x i(b)qi;,cg qbdh09mes. 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 ± 0.5 cm long is cut from a longer piece that i.rcfaxidyx oho:4( u-+ nw2l:s 12.6 ± 0.3 cm l:h(ox:2ywxu.i rcdon+ 4 -aflong. 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 is applied to a mass of 2.0 ± 0.08 kg, causinj8u0b z :ko* 6hkz;rkog it to accelerate. What is the per ok0z;jr*kh 6:8zuokbcentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle oand0i *ojt5w- t*4jjpf wire is measured to be 10.0 ± 1.5 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) %