Which of the following04 yayiqi .ahl9 ,s5va could be a unit of power?

  By approximately how many powers of ten is the height of afsn- -wk*q jlzrnz ::5 human larger than the height of a grai-knrf:*sz l 5- :wznjqn of sand?

  What is the value of hb nlcybvm1 yq1:op6+6 6q7gj$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following uha6vtcrxi t/4/+bc(- nmil/wy9 q9 d is a fundamental unit in the SI system?

  The volume of the Earth is approximately *:-mqr lddt+tzsn c -5$10^{12} \mathrm{~km}^3$ 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 oun 51cqht9 0vyrder of magnitude, the number of heartbeats of an avera1ch q0u t59nvyge adult human in a day.

  Which of the following contains one fundamq n;ivd*9 q+xcmxi3l 9ental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation g+znh1txt+k58+e3 hkjm p sd (will give the answer with the most decimaltk km 3pdjtsz +he(18hgxn5+ + places?

  A car has a mass of 1000kg. A mouse9nck/4n dzm kh:om,p, has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car t9 c,h/mzd:kon 4nkp m,o that of the mouse?

  A train travels $92.7 \pm 0.5$ meters in $15.138 \pm 0.05$ 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 cu qysy;cglw*w0n5y99zbe with sides of $4.90 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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 square3a6t qe(iyrh, base 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 $5.0 \%$ 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 using part of a metre rule that is grq (bns q6t hn7ir 7eagr386j3raduated in millimetres, as shown beloq qn3her 3 j78r (i66nts7agrbw.

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 $4.9 \% $ uncertainty in $V$ and a $2.1 \%$ 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 measu)vo3y ;njxiox 4mto09red to be $26.0 \pm 0.7 \; cm$. 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 $1.7 \%$ and the uncertainty in $l$ is $5.3 \%$, 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 * zjcs52j.:hsjzam g8 a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differencf n z;tb)m*io a/vmr01e ($V$) across a resistor is measured with a digital voltmeter to be $0.73 \; V$ . 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 quans w2 g(b-:cqnstity which of the following can : ws2bq(gn-csbe reduced?

  A student measures a distance .cqt-9ft a9b6- vqspafour times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this mta9 scv-b.faq9-p6 tqeasurement?

  A student measures two lengths as folloq6oxt0-jv k spma8 q87ws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, ar 9*jwwljw ffn/gso d2flw9 :97e 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 qwa,wmugw 70p 8uantity Q varies is plotted. Theory states that P show7mpuw0 ,agw8uld vary linearly with Q.

  The length of a pencil is measured using part of a measuring ta0xdpn/vjl gid.z28l )pe as shown below/ )d02 n.dpjixlv g8lz.

What is the length of the pencil?

  The masses and weights of differeo 6k;4 dscvyt;r4tw:uxng , p,nt objects are independently measured. The graph is a plokg,nscy:uvor;t xp dw;4t64, t 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 mm,sxqc jf*d 4uzq)w( ;easured, and the diagram shows the measured values with their un( ); 4mq fzjs,xd*quwccertainties.

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 percentage uncebaz 8i (u,a(f:lxgvx 7rtainty of 7%. The radius of the sphere f ax(7glxba :v 8,ui(zis 5.6 ± 0.5 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 sh 2 rerk/)gx;dv)f/pq vown that:
$$
P=\frac{g h^2}{u^3}
$$
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 accelerati (9lick3i-)ymmf beqq cvd :84on due to gravity produces the following rel3m )f:(-ik4cmy98qevq icbdsults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 mpsl a f-4t1w)3a* aoythat each measurement has an uncertainty o y fpm3 w1aa4*o-sl)taf $0.5 \mathrm{~cm} .$

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 an(;j/v9khn:gum9+8kt nku t $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.8 \%$ 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 erro/7zcjq)m3ee7qk g t.or. Which of the following statements is c j. qkqz7 gce/3)oe7tmorrect?

  A student measures a length five times. All of the measurementsbcbaepo--/ yu 29:8wh9;mxczpt , ufz 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 ± 0.5 cm long is cut from a longec5 .*t5dve 0dzwd va-*j+mxtzr piece that is 12.6 ± 0.8 cm long. How long *t-+d5c.d m5jw*d 0 avzz xetvis 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 2 \%$. 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 r)+ 0hce qgthn85gx3kis applied to a mass of 2.0 ± 0.13 kg, causing it to accelerate. What is the percentage uncertainty of its accelerah rh+) xnec30gqtg 8k5tion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to benkbz83 f-yn*gpv+x:t 10.0 ± 2.2 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) %