Which of the following oeg6, 33ntjubqx8py 3could be a unit of power?

  By approximately how many powers of *9jm2 7cln ppi bu48rcigr:5ften is the height of a human larger than the height o*l8c4ucnr:7fppj 5mri9g 2i bf a grain of sand?

  What is the value of g .q*qj hq2/ d7jx*j,ywewa; 02yoj w+hlb 7ym$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system?wfkeu0 5w s3.m

  The volume of the Earth */0qb5akg8n0b- rlv/pg s eiy- ifao9is approximately $10^{12} \mathrm{~km}^3$ 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 nearesf7efdg) i g* quc)smd)m1c0:st order of magnitude, the number of heartbeats of an average adult human d dicfm7)gecg1 f*:s0smqu) )in a day.

  Which of the following contains one fundamenta8 lqg1pp ,fw:ml unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will gi 6c5 j /0vpfs9fhza65/opnatdve the answer with the most decimal /ot pf56 j6a h 5sdnfapvc0/9zplaces?

  A car has a mass of 1000kg. 3 . /. umxf1jlyfgx /+j.k fs,-)yldfnjhsr)qA mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that olsf+ 3 mjyfdh .r.fj/-g, uyk jxl/sx.fn)q )1f the mouse?

  A train travels $78.0 \pm 0.6$ meters in $6.686 \pm 0.06$ 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 of 34v.l/ zbs yzq 2k5f3 tgweou7a cube with sides of $4.21 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 sifpk) wv +dq0g+de $x$ 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 $5.8 \%$ and $h$ is measured to $5 \%$, 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 metr qxb,fjytaq,ylzyq9 ,)r/v tw(/ j6)g e rule that is graduated in millimetres, avf9t z,, aq /j j/y(yx)q,lq gtbr)w6ys 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 $6.6 \% $ uncertainty in $V$ and a $2.0 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ball ( 1.o*y13qybgcyq,:zekglcj oon is measured to be $26.1 \pm 1.4 \; cm$. 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 $2.9 \%$, 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 s7bm2b8x8x dqi9gy3a 1(rjnewr7)i s gides of a room are estimated 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 differeys7 o q5vu2nr tu)0ux2nce ($V$) across a resistor is measured with a digital voltmeter to be $0.68 \; V$ . 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 thewb r- *dptsz4; same quantity which of the following can be reducps t4*z d;-rwbed?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, n(f8cnay 9 gudac 0t5;1bza8mki e+ i538.1 cm, 38.2 cm. What is the best estimate of ai;u aan+en8y 5i9zmtd(kb185c0 fcgthis measurement?

  A student measures two len(c(8sj ; cwiei6 qi6yxgths 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 b(1u3qd) vma wce $(5.1 \pm 0.1)s$ 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 Qe srfa:chtvq capk 7: f:u,675 varies is plotted. Theory states that P sh,qtfph :cv e7ks7ar 5c:6af :uould vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape asf c7 4ewa wedur6*9if9 shown below97fu ciw6eda94ferw *.

What is the length of the pencil?

  The masses and weights of different objects a3k:nqu d ca-3ytkwumas. :y8:re independently measured. The graph is a plot of weight versus mass that includes error bar ua :ctw:ka3.qud8:m3kysy-n s.

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 rectavmif :oc) (i,7n 9dgwkngular plate are measured, and the diagram shows the measured values with their uncertog) 9dc ifwniv7k(:,m ainties.

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 measureldy4--zgsaxp1s7a eqywh 3),d with percentage uncertainty of 6%. The radius of the sphere is 1.7 ± 0.4 cm. W-4gysl,ezs17p- 3qh dwyaa) xhat is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has showng )g5 nhtyfw8: 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 acceleration due x2ttg+jt.q8x to gravity produces the following j.2t8x+gtxt qresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an b(imlltz .t 0e88l m:runcertaint zl e0m :8rl(ib.tl8tmy 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 masmod:ew,lei a (.8abh(s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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 the following stfvit +e4+1kjf4yc,h oatements is corhf4f4+1oi+c vj, ytk erect?

  A student measures a length five times. All of thlzk25-,bd h2fi7x erv hso- e)e 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 long is cut from a longer piece that is 12.6 ±p7j 7ip*vys( z 0.4 cm long. How long is the remainingpyj7p*7(vs zi 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 5 \%$. 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 ± 0.4 N is applied to a mass of neg +23ky,schbai1 a: cv g/r:2.0 ± 0.13 kg, causing it to accelerate. What is the perc 3gcaac y,:nsi:+rgek1v/bh 2entage 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 be 10.0 ± 1.1 cm.xdcob2jzd l*v j(yyjzgyll74t9(nr-; 20m3 v
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) %