Which of the following could cho-elxevt8mz2 6p r5*+bu5g be a unit of power?

  By approximately how many powers of ten is the hbg ,;ax .kddm j)t3*cneight of a human larger than the height of a grain of s m;c kjt)n,xdd3a .*bgand?

  What is the value of n;)t 8-w4bzvcp hsyqb1 x 2g4y$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following 3c+h bpis56v0 rgiam2is a fundamental unit in the SI system?

  The volume of the Earth is .b3czw xb* s4y(x vba p(ar65vapproximately $10^{12} \mathrm{~km}^3$ 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 vi/t2, v0-n.opbndhq of magnitude, the number of heartbeats of an average adub.vpq-v ,n tnd/hi2o0lt human in a day.

  Which of the following contaissw ac.aai:g0zd3e() z.;:nob og7gr ns one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will gixq6k4:wf9rf5t, q3nc xqas 7ave the answer with the most decimalqq7ts9k:4afaqxx c3n,5f wr 6 places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of y8asra 5f7ab0,8z heue 1pz8b magnitude of the ratio between the mass of the car z0 ,78e 8 5aahrzfbuesyp a18bto that of the mouse?

  A train travels $51.7 \pm 0.7$ meters in $3.734 \pm 0.06$ 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 yjtv178jqbw mmw2+q , of a cube with sides of $2.05 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 bc 0 -ki,tj5iel n 5fam3-9wbcof 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 $8.6 \%$ 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 is measured using part of a metr5uo r*c/gy nz b 9smki8/g+,lse rule that is graduated in mib*9/o5usmgnl+z,/ic y 8skgrllimetres, 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 $3.7 \% $ uncertainty in $V$ and a $3.4 \%$ 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 mrcu*bo.t3 o3x;2foc8ra8x fto be $20.4 \pm 1.1 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $3.4 \%$, 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 esti4rdjhgf:w xmhp .jl4/ 03c6vq mated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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 subbgtin.-( w ikpq+ ,a0v p1qv8(t,c($V$) across a resistor is measured with a digital voltmeter to be $0.14 \; V$ . 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 measuk/ pefc+,olql0c tg 6q 9:sshf9qb2 :urements of the same quantity which of the following can be q,ct 0u q :6f2:o9kqlc gspf+h s9/eblreduced?

  A student measures a distance four times. The readings nahv2-f.t yo)ly1 4meare 37.8 cm, 37.9 cm, 38.1 cm, ayt21.nfey4o ) vl mh-38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as fo;+o(k:ldfah ,c lox4k llows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured d :(b,an+ zxi: ep0rolto 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 is7wr5j1 7robex plotted. Theory states that P should vae7rb5w17 r xjory linearly with Q.

  The length of a pencil is measured using part of a measur6tb; yfz2z /g8 m1oqhfyk k5pt4wm+ 79kfa3vking tape as shown below.w9pfg y6ztm y+7f5k; 8 bvkzm2aof k34kthq/1

What is the length of the pencil?

  The masses and weights of(3c2-b loftmb different objects are independently measured. The graph is a plot of weight versus mass that includco m(bf t3-bl2es 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, acl5 gl*vt *b+x sdvbpe9y*2 r,nd the diagram shows the measured values with their uncertaintibt+5 v 2pvr*d9*exgylsl,cb * es.

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 meyz1vbf5d:k /hpls;-,d mvs 1easured with percentage uncertainty of 7%. The radiudm :d1 5fbzv1-hyeskvp l,; s/s of the sphere is 5.3 ± 0.3 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 shown tha8 61wpv ya6x4rqzsx3sfggj)*t:
$$
P=\frac{g h^2}{u^3}
$$
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 accem i 6qd+nvje9 yh8 r1)uz*u4iyleration due to gravity produces the following resultij8 iuyhyqvu + )6rz49 nme1d*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 using a ruler, such t8,ebm2ayt1 b2atjgi9g:* 0efz6 nvwthat each measurement has an uncertainty o yt8z2be gt0, f*gm 9biwneva ta6j21:f $0.5 \mathrm{~cm} .$

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 px v9g2;8fygx $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ 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 thaxr )n4k ueb,1.;chg ne following statements is correct?cxn. ,hg ;ru b4)enka1

  A student measures a length five times. All of the measurements lie betwemmnr 8lxq-e/.v1 x 3m7mdoj- nen $18.8 \mathrm{~cm}$ 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 ;6fukprr34uft i0v bz t2 )pndo)-xbf)is0g3cm long is cut from a longer piece that is 12.6 ± 0.6 cm long. How long is the remaining piece of str )tp) uun3-rp if0ftfgxi2d 4bsb;6 03)rz vkoing?

  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 $\pm 1 \%$ 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 ± 1.4 N is applj4k ,:u glph3oied to a mass of 2.0 ± 0.21 kg, causing it to accelerate. What is the percentage uncertainty of its acceleration? 3k olpj4gu,:h (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 0.8 cmy:hmj : f4zang o5cu0d13 g**y srs.ot.
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) %