Which of the following coulsnmqr; vg7c)q prog5 :t8c32u*a2p wgd be a unit of power?

  By approximately how -w5v9qxjc ,9cewip j/le/ az2many powers of ten is the height of a human larger than the heigh 5 x9qwjli-/,awcve p9jz/ce2t of a grain of sand?

  What is the value of /gwris+0*dqo9i s1j i$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI s)9 sxjcc xb0 v rc+b 7z88ffa;mi5vwb.0 fn9zyystem?

  The volume of the Earth is approz8o u k8w6hgp:ximately $10^{12} \mathrm{~km}^3$ 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 vg i)i- ek0u.ykihkhtfsi (i 7 g8.-3jorder of magnitude, the number of heartbeats of an average adult huma-y)iv..k e3 iuksif h(g ktjig0 7-h8in in a day.

  Which of the following contains one fundamental unit and bcdis:m)0;r 2115oznf bet u lone derived unit?

  If A=10.0 and B=0.50, which calculation will give the swa 0)9gg xj 1)j *qxoy07nxpsanswer with the most decimal placj7w g0))gso90nx1qa js x*p xyes?

  A car has a mass of 1000kxwp5:c faph*+g. A mouse has a mass of 10g. What is the order of magnitude ofwxph :a f+5pc* the ratio between the mass of the car to that of the mouse?

  A train travels $37.4 \pm 0.2$ meters in $14.695 \pm 0.06$ 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 shp g1cbfp,n,*hape of a cube with sides of $5.02 \mathrm{~m}$. Each side is measured with an uncertainty of $1.9 \%$. 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 side q*tvx f6e8box4. :zs:dond+ wr br8:::ksfpt $x$ 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 $6.0 \%$ 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 is6j46 z w0*lnzbel4 e7ilxt6u t gpbd9/ol*mn4 measured using part of a metre rule that is graduated in millimetres, as shown belz/tgn dlz 6*i0ltlx*4e bj9mle6o7p46 b4unwow.

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 $4.3 \% $ uncertainty in $V$ and a $2.8 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is measured to g(*i3hwzbr )exu c*.0 k1grm2xumsb; be $19.3 \pm 0.5 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $5.9 \%$, 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 ronumhjkk9/ :2fy ) nza(om 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 difference7ugehp(. ,n dy ($V$) across a resistor is measured with a digital voltmeter to be $0.35 \; V$ . 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 djkflnd-4xdc v7eu;(6 -1h i mwhich of the following can be rei jv-fd7c-l1;kd hde46um(n xduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 3ymsbbfs v):(10vaijyju z (75 8.1 cm, 38.2 cm. What is thefv)jsv71au z0bimy (5bjy: (s best estimate of this measurement?

  A student measures two lengths as folllw h6,pw;khq2og x6j57pm( c iows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are a9n+ieuv0(ry367;*d 3h cwpyo kxj aj 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 g1snvs(ar 5u *uws-d :wpz;o.states that g*sr v: (ow 5u wp;zs-ad1nus.P should vary linearly with Q.

  The length of a pencil is measured using part of a measuring ie8+m v-p ouaj3z. xa6tape as shown below.au6ovz ep+x .imj8 -a3

What is the length of the pencil?

  The masses and weights of different objects are independently measured. awn+ f 2euka6.))tv uvThe graph iu. auv6f)v n)+tkaw2es 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 sides of a rectangular plate are measure*ejg0 .yzg/ chd, and the diagram shows the measured values with their uncjgc/0z*. ehyg ertainties.

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 w3dw plmb4)v q 9aqtxu 7;e8(pr;l ba:fith percentage uncertainty of 1%. The radius of the sphere is 4.1 ± 0.2 cm. What aq qw lvtrl4mbx3 bp8 p;;fa7u:9()de 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 n5i+lfuogb7oq6 sptsq 8-6pm :0dk *ythat:
$$
P=\frac{g h^2}{u^3}
$$
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 due to gravity produces the follo+ r *pg+o.upwswiu++ws.*po gr png 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 each measurement has an 7djgg(up9al7 uncertainty o( jg7 uapd97glf $0.5 \mathrm{~cm} .$

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( s7kqh9u8 u mrlc:h-k $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $9.0 \%$ 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-negligi:t yiqy24m .r)qd /c/isbb*- vqn im:cble zero offset error. Which of the following statements i:i/) tsccb qiyqmim*d rb- vn./4qy2:s correct?

  A student measures a length five times. All of the meev q v8a,crx018yfb4rdf6-:m( d fe lrasurements 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 ± 03/v;trj0zc :jz iv 9rb.3 cm long is cut from a longer piece that is 12.6 ± 0.8 cm long. How long is t /c3r ;tbi0vv9zrjz:j he 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 $\pm 3 \%$. 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 ± 1.2 N iwz ,j7zm eab(3rh1 3ays applied to a mass of 2.0 ± 0.16 kg, causing it to accelerate. What is the percentage uncertainty of its hrym(13zba3 eajz, w7acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.6 cm.u/ + bru;76+ klkqtlguer6 u/p
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) %