Which of the following could bt5-r. pu ot9hkc;,ywd p dx*z-e a unit of power?

  By approximately how many powers of ten is the 7zaf )9smyxeh 3nn8vb-o)wgbgx 9b:6 height of a human larger than the height of a a)ymgs 3 8x:xbvf7zghn- oe6n9bb) 9wgrain of sand?

  What is the value of v( whsii z.9k0$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI sysv ms, e7 i+i6aeb-bdg:tem?

  The volume of the Earth is approximat g1kzo4)zt:- re yigjbe/q 7+yely $10^{12} \mathrm{~km}^3$ 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 mag-h-x /4irza krnitude, the number of heartbeats of an average adult human in a 4x r/hizk- ar-day.

  Which of the following contains one fundamental unit and9q 9fm1 f-qnon*dndt * one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the motp-rkvn34s;g6 51bsnpca z : 5z oim/yik+f/lst decimal placypo5f- b51l3rtnkm gss pv4n:;i/z6/c ki a +zes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is n:uisc;+ ) inbthe order of magnitude of the ratio betweeni u +s);ncb:in the mass of the car to that of the mouse?

  A train travels $58.3 \pm 0.3$ meters in $6.731 \pm 0.06$ 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 shape of a cube with nqh;(es -z8uyk2) m4n) yrrjksides of $1.78 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 en9nuov ,* 6dhby,5eu/d8d skn+ .pzn$x$ 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 $8.9 \%$ 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 measureif 5c3mdqe ax8loc4w9t(* f9gd using part of a metre rule that is graduated in millimetwq5xg89 3ctfal9 mo4(f dei c*res, as shown 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 $5.2 \% $ uncertainty in $V$ and a $2.2 \%$ 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.zb +q6cv-c n),9cw(rxdqvv b is measured to be $11.7 \pm 1.7 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $3.8 \%$, 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 estimat,,d xm-i/k ;op 91z nfydarexs:j,b a1ed as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differen+dg4qmdsj emjii))0 1ce ($V$) across a resistor is measured with a digital voltmeter to be $0.43 \; V$ . 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 same5ud a 23t0op*pvy: dud quantity which of the following can be redud*p dyo:td u5 vpu203aced?

  A student measures a distance four times. The readings a no.2sys3f,xfre 37.8 cm, 37.9 cm, 38.ox 2s y3nf,f.s1 cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two l8 jh k 9wdi;zl:yxjn70engths 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 b, are mea wr.a2m;z;voh sured 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 v7h q+evar 4ud3aries is plotted. Theory states that P should vary linearly with+eraq7dv3 4uh Q.

  The length of a pencil is measured using part of a measuring tape a+pwutqqcjgmm v o2+x :6:2 y/js shown below wgcxvuq6/o2j:yp :q jm++2m t.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The gr bo2b g)s9j;dxaph is a plot of weight versujobx b;)d9s g2s 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 arek51 qg+xw7 orv measured, and the diagram shows the measured values with their uncertaintiergwk7+ vx oq15s.

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 perp7;z7, s uoewb yh.9qwhpsc. )centage uncertainty of 3%. The radius of the sphere is 3.4 ± 0.2 cm. What is the percentage uncertainty in the mws9) yp. hwc7h;s,p7.eb qo zuass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown th1 77ntb n(tt ax 8gbtitlu8k*.at:
$$
P=\frac{g h^2}{u^3}
$$
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 gravityrx1-9rpc5/ 6 ywbta pya(a//ghq 1j jq produces the followin-h/5(qa x/qt brjy 9 a1wac6pjgyp/1 rg 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 uncertainf.fl 6gicd h6 l-*6umm -*lhmfd6g. 6icumfl6ty 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 maskaxwy bhy;.x0cot /j+hl 4pp z4h*,q/s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.6 \%$ 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 followi5c3 +ovm,fhxing statements is c x+mhv o,5cif3orrect?

  A student measures a length five times. All of the) y1elm.t(yiy 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 ± 0.2 cm long ise0voa)mn5)inf+tfgv c,px))g03v k z cut from a longer piece that is 12.6 ± 0.2 cm long. How long is the remaining pi)vvpvzg5g,t0 )c3 +ao f i fx0e))nknmece 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. 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 ± 0.3 N is applied to a mass of 2.0 ± 0.08 kg, csb.y2vmw/f 2e0 k8z opausing it to accelerate. What is the percentage uncertainty of its accelerbp0of8k s2me.v/2y w zation?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to bk( +2z9iju 3hf4 hr5w2sghw sg0 *vqzce 10.0 ± 0.2 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) %