Which of the following could be a unitbmvubr)cg+9wp+(qky ;- 2 bjh of power?

  By approximately how many powers of 7ubz-pfx 9:gzwcff -3 ten is the height of a human larger than the height o3uf-w9x gbz:ffzp -c 7f a grain of sand?

  What is the value of +c, /emimz+f xt+jl2l$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamenz:d 4 dh8q;tietjfw4 7tal unit in the SI system?

  The volume of the Earth is approximately mbbns *g9y,t ;.na4 tf$10^{12} \mathrm{~km}^3$ 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 magnitude, the number of heartbeats of an avewe(5 ypr8o3fc rage adult human in awfeyr35o pc8( day.

  Which of the following contains one fundamental unit and one derived*o33xzbd*t lj unit?

  If A=10.0 and B=0.50, which ca y08i2zicr3jalculation will give the answer with the most decimal places02ijayr3 cz i8?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the or6cfeg kv0u )(mder of magnitude of the ratio bec) gev(kmu6 0ftween the mass of the car to that of the mouse?

  A train travels $74.5 \pm 0.7$ meters in $6.055 \pm 0.08$ 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 w fuga r78if-:pith sides of $4.13 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 /iewg)7yxr.rside $x$ 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 $3.5 \%$ 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 pakhe3;1 +ibj8+jvuw7nx kjj o1rt of a metre rule that is graduated in milku1wji xe7b+3 +vj 1joh8jk n;limetres, 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 $3.4 \% $ uncertainty in $V$ and a $2.9 \%$ 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 measuro +c;)*xj5sqdw7k se ped to be $22.0 \pm 1.6 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $2.4 \%$, 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 esti j2p 8agizzfr9*m9d5 xmated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 differ18/hprp wdj7jz n(fu4ence ($V$) 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 hwc4hpprn o,)+c8bj6 z+d3, h ju2knrthe same quantity which of the following can be u+dwph ,2 4+3kz6c8rpbjo r,jhcn)nh reduced?

  A student measures a distance four timep v/i:sjcpeze 1n.t ;6s. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate ov. jepn1:t;/ec6ispz f this measurement?

  A student measures two d l.a/xqxw.ph i;9x/a./vba olengths 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 b8ss nltxirpid1ws 2u (h r;4)9ez +p-ce $(5.1 \pm 0.1)s$ 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 ahchm2+ 36zsky fzq 92quantity Q varies is plotted. Theory states that z23+2 kz af9hyhmqsc6P should vary linearly with Q.

  The length of a pencil is mej6hh s3bi7 y ,fk( 9,uqergpp6asured using part of a measuring tape as shown below6ij3hpu7rqgy 9eb(p6,shk f ,.

What is the length of the pencil?

  The masses and weights ofj(ix0*vn, 3 emcu m2og different objects are independently measured. The graph is a plot of weight ve*j,ov (ngcu3x2i0 m mersus 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 platy4t71qfa a d:fe are measured, and the diagram shows the measuredy4tqa 7a f:d1f values with their 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 measured with7h2)yr p:)d3irty7be f n4bqg percentage uncertainty of 7%. The radius of th: yy4nfr7 htbreibgd7)q p32)e sphere is 1.9 ± 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 - 6z0.np +jh wyhi.mphthat:
$$
P=\frac{g h^2}{u^3}
$$
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 d7d/gh6n :zqc 7qslrj m7*ux7yue to gravity produces the following resuqx gjs67:qm7d*7u/y7nc lh rz lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, sum7um 7ih8vwb6a em7s3 ;9dipwch that each measurement has an uncertaintb8pehi7ds a377 w 6vu;m9mwmi y 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 cp2 xburg 1h/93re,-dxp4 g/drfyjh 8 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.1 \%$ 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-negligibzk 2t ah686nbkle zero offset error. Which of the following statements is correctan2k 6z 8kthb6?

  A student measures a length five times. All of t lx)0eoogh inaa2oja(+ e-u2akt4 0vm*)+juthe 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 ± 0.3 cm longoolz4xag q i( pzi01,,( u+nlx is cut from a longer piece that is 12.6 ± 0.4 cm , ixo4x10igu(z(ollnq+,zap long. How long 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 $\pm 4 \%$. 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 ± 1.6 N is applied to ) osv6mk/pq gf-f14 pra mass of 2.0 ± 0.24 kg, causing it to accelerate. f fpv6mr1-g/sq pok4) What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to bath /ow99zo,x1u4 jbh e 10.0 ± 1.1 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) %