Which of the following could be a unitx v8r7f,1vo up of power?

  By approximately how v3q5otqd 6( bdmany powers of ten is the height of a human larger than the height q53vdt(od6 q bof a grain of sand?

  What is the value ofv o.z5ortzi,3,nrwq48 kc wx- $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the Sg/8mh ee4u x4lsgp +a+I system?

  The volume of the Earth is approximat+4mmyoymsh u z33g)4n2tjd1b ely $10^{12} \mathrm{~km}^3$ 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 z;+ *aapp*iz wbl89 quof magnitude, the number of heartbeats of an averagep8zz ab+q*auiwpl9*; adult human in a day.

  Which of the following contains one fundal: zi8f 3j7wgi lt44zymental unit and one derived unit?

  If A=10.0 and B=0.50, which c j( yas;a 81qqkvkk)fkr+-tl f wl+f18alculation will give the answer with the most decimalk1)t-waj; yr faq8lk lf+(q k k+s81fv places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of wqqfq( qt6c2*w zgf./magnitude of the ratio between the mass of the car to that of t6zqqw/ c2q*f.gwq (f the mouse?

  A train travels $96.5 \pm 0.5$ meters in $11.806 \pm 0.07$ 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 with sides of iew8j iimetp4q8 );l,$2.87 \mathrm{~m}$. 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 bap 1i4-sbvr2 uhsv*vs. se 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 $3.3 \%$ 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 metry:cf +2cb5wu9 + 0)p esnajzsre rule that is graduated in millimetres, )5+s+fj y2aec :wzuc9pbr s 0nas 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 $5.5 \% $ uncertainty in $V$ and a $3.2 \%$ 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 is measured to +bf9-ovf: b ksbe $26.9 \pm 0.7 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $2.8 \%$, 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 esi1 rwe ;9v+8 kdoqwc*ctimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differenckp+v l-t2et.94kjjy rp54 a ure ($V$) across a resistor is measured with a digital voltmeter to be $0.22 \; V$ . 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 following cap jv*obp4+c +tn be rvctjpo+* b+ 4peduced?

  A student measures a distance four times. Theyf4 (axp70piqmob 5 lp,j+d+r readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best est 0ppb 4pi+r o,+7jmq5(fdx ylaimate of this measurement?

  A student measures twnv ypw*- z)su:o lengths 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 measured to mrp uw6vo/h1j4*zow2 . b*wjc 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 quacl(ur4 s mrp7.ntity P as quantity Q varies is plotted. Theory states that P should vary li pu.c4l7rm(srnearly with Q.

  The length of a pencil is measured using part of a measuring w)w8ovvy p01ytape as shown below.8wy yvowv) 01p

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Thftez+3:48u rb3lq h e tltm.:me graph is a plot of weight versus mass that fm+4elt3zu:btt .8 ml3hr:eq 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 20gp:x eheh ;zrag(k;rectangular plate are measured, and the diagram shows the measured values with their uncertaintieseg0x(zrhkh;peg 2:a ; .

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 m1sx men)c1- rf3 aiqw8easured with percentage uncertainty of 7%. The radius of the sphere is 1.2 ± 0.3 cm. What is the percentage uncertainw-qa8x 3 fr)11eim csnty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown tra/v0 opyo 2j/hat:
$$
P=\frac{g h^2}{u^3}
$$
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 p 89kk-scua ue u54lc)iroduces the followc)usi4a 5k9 ckuelu 8-ing 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 289 x,() mvxwil(ftqmmbt7xi measurement has an uncertainty8i xm 7iqw9(t)v m xm2(,lxfbt 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 mas;c)h5;urcw qws $(2.0 \pm 0.1) \mathrm{kg}$, 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-neg:brkmbscj9n*d2n l 3 xzy(u)h 2- ,ercligible zero offset error. Which of the following statements is cork cz(2c3dl,sy2xrh nj*e:)bb9 rm-unrect?

  A student measures a length five times.3/hrcy15p.ki8 bypt e 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 ± 0.2 cm long is cut from ljkrdiyo6c z*m5; z obrv wb;m.;/76 ma longer piece that is 12.6 ± 0.8 cm long. How lo/okmjo;m7c;r zbyd v65 zi6lb.m r*w;ng 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 $\pm 1 \%$ 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 ± 1.4 N is aw(ju)7g-lmz vrfp (p *pplied to a mass of 2.0 ± 0.11 kg, causing it to accelerate. What is the percentage uncertainty of)rlzu * jv((-p gwpf7m its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.3 cg1q3t /jr h/ ndks4)kom.
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) %