Which of the following could be a unit4 n+i p d k1iwjjwl3t8+q,1dgxd4fkw3 of power?

  By approximately how many powers of ten*7fner0 ayq7ws0wqgf : ),cqe is the height of a human larger than the heigwga yq c qqf)f:ew7rs0e,* 7n0ht of a grain of sand?

  What is the value of pq:5yy m9oi if2i2og ($\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following zu.dwf34 2 ouiis a fundamental unit in the SI system?

  The volume of the Earth is appxt03q5dkdl no4 g+hxr2ne / :hroximately $10^{12} \mathrm{~km}^3$ 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 orifl* u6td5wm yy n)e+.der of magnitude, the number of heartbeats of an average adult human in aem*d.nw +yu ty6) lfi5 day.

  Which of the following contains on*e nur*-ikb6me fundamental unit and one derived unit?

  If A=10.0 and B=0.50ap)mcf .j-lsyv g sx.w4-, .tv, which calculation will give the answer with the most decimal placsxp.,.tm cvyj-awgs 4).f v -les?

  A car has a mass of 1000kg. A mouse has a mass of 10rs m0/bp ,vnj/g. What is the order of magnitpm /sjb r0vn/,ude of the ratio between the mass of the car to that of the mouse?

  A train travels $59.9 \pm 0.4$ meters in $14.505 \pm 0.03$ 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 wsngpj+zbj(rf bu0 4 sxrc+k465bjs 5, ith sides of $2.21 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 k ip,96vib xee-:8xdf41t tra 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 $5.3 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured usid)(sgox(1 u ying part of a metre rule that is graduated in millimetres, as si(y1(d)uoxgs hown 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 $0.9 \%$ 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 meak(gml5 m)a/+cldi 0l/ smwc h-sured to be $14.1 \pm 1.1 \; cm$. 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 $2.1 \%$, 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 estimate(i5r 2 h*4u 7ghjcrd. lezyx/dd 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 (;o(b h9rw.ol.2dpydo* ymd - k$V$) across a resistor is measured with a digital voltmeter to be $0.17 \; V$ . 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 mag.s d2mg6d mzrc3h3 95(hyg fa; kh-same quantity which of the following can .3kdsd mmg3 hg r9mzf52g-hyhac ;a (6be reduced?

  A student measures a distance four times. The readings are 37.8 ga.q l)1e t0 kxkzp*b:cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremen)*g:qxtae klzk0 p1. bt?

  A student measures two lengths asa1i6 7 fy;jcik 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 even9hm agnhfg 170ts, 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. Theorpmgh5 ort0l 9;y states that P should vary linearly5;gotm9l hr 0p with Q.

  The length of a pencil i isk)g j,,bf6mol1zd (s measured using part of a measuring tape as shown below6(1)msglkozdf,ij , b .

What is the length of the pencil?

  The masses and weights of different objects are independently mcjej8hcv;*q1 s l5ns9t7:cx oeasured. The graph is a plot of weight versus mass that includes error bars.qccecj*8 t9s:51xjnls7 ; hov

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 meas *zsgt iu+ldzyat0u7(y fx :j7 zt-+l6ured, and the diagram shows the measured values with thet g -s +jz+udtlzaf7y* (ui0y:zl7tx6ir 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 measuhm v936js7fk p-w w ciy u;qqv,/4tcx;red with percentage uncertainty of 3%. The radius of the sphere is 6.0 ± 0.2 cm. sq3wwmc- x 479ij/ yqkc;,6fhvpt v; uWhat 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 thajh (vo.qc1/ p1ge-liygw09n gt:
$$
P=\frac{g h^2}{u^3}
$$
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 tdpsxzs4v3sgx1 ydy:9 a/ )m+t o measure the acceleration due to gravity produces the following result / xsxavzd3d4tgyy9s1)mp s:+s:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 u2k/t.qqm tnm /sing a ruler, such that each measurement has an uncertaintmm qktnq./t/ 2y 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 x0 u-ugt.6zas:z7y mptok q )as,.: uy$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ 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 f,fbw3 *a 13ahgni2n n iu(t4tej nbx j17w4p:the following statementsn 31nw:nn7wibbj2e4j1aftga, 4pihu (f*3tx is correct?

  A student measures a length fipo1ly ov7n m4lft)0:zve 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 1+ zln9 kp0+bor +0rhiq2.6 ± 0.2 cm long. How long is the remaining piece of s + pzb+rh+rk iqnl09o0tring?

  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 ± 0.8 N is applied to a mass of 2.0 ± 0.21 kfn- wmzq/mfrr)c60 t.n xq99 kg, causing it to accelerate. What is the percentage uncertainty of its acceleration?qq6 nf0-f)9cwn rx m9m.tk /rz  (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.r.x yi2:dybia9w :ji,xswu*,n6 f o3v5 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) %