Which of the following could be a unie1qr4zn46k7 3hzh qgut of power?

  By approximately how manydcbjfs7vul 43r- e65 d powers of ten is the height of a human larger than the height of a grain of sand?du5bj 3 dvlrsc-764 ef

  What is the value ofa hd;i58i20 imc)bcuy $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is .take8q9 w ay6gcnp99 a fundamental unit in the SI system?

  The volume of the Eart2 mjkwb+i) 7cpxi/8u alc;p 1rh is 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 nearest order of magnitude, the number of heartbeats of etngqa9-sf2*.ubzrit f2 n-8 an average adult human in a day.r.n b 2sfg8 9zutt- nia*2fqe-

  Which of the following contains one fun if:3 vx81qodrdamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will giv zudcfh1kcg b (m:48j/g;bde2e the answer with the most decimal placfc uegh41;bg mdjk/ b:z(cd28es?

  A car has a mass of 1000kg. A9 :ll+;6b1 llyivkvwsip4 ;brq ;q6j n mouse has a mass of 10g. What is the order of magnitude of the ratio betwepisv j l1i9;nl+ b wvb;:6l 4;qr6lqkyen the mass of the car to that of the mouse?

  A train travels $70.2 \pm 0.4$ meters in $9.606 \pm 0.07$ 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 sf54non z:iytm991:fi fmjan3ides of $5.25 \mathrm{~m}$. 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 h tuwne2 g8b(ghwkdmuqv+3-r v5; d/ -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 $3.5 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is meash 1yk8, r(kt.k bgvjlj8 29jssured using part of a metre rule that is graduated in m l r.jh s9k ks,(vy12k8jjbg8tillimetres, 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 $4.6 \% $ uncertainty in $V$ and a $1.5 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballooouh.cb f *2e:zy-: oden is measured to be $29.3 \pm 0.7 \; cm$. 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 $3.7 \%$, 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 estimatet) d u,v0j6/ we4pxmmvd as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 differenc s ;:0k pkx2z;dt,uknse ($V$) across a resistor is measured with a digital voltmeter to be $0.76 \; V$ . 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 fo2epz swxm:h.zqb y07m ,d--w sllowing can be reduced?,my dh2wqezb-7mw s:p z0s-.x

  A student measures a dil2 sst.o f29rpstance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this mr9otl 2.s sp2feasurement?

  A student measures two lengths as qg k(wa,r7 .4 fyc,/wwzww6yh 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 mer55*vzaxy ff5 asured 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 quantity Q varies is plotted. Theory-: h efd1fms6n states that P should -6 e1hmndsff:vary linearly with Q.

  The length of a pencua2. f)x2s tgk* q9xaiil is measured using part of a measuring tape as shown below)u*agsix9q k.t 2f2ax .

What is the length of the pencil?

  The masses and weights of different object rc:fecffk+-/(csr, t s are independently measured. The graph is a plot of weight versus mass that in(+ec :rrffktc-sc/, fcludes 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 sidesl7 atf -mqi b-7:r uf+ezvxby.mv:a58 of a rectangular plate are measured, and the diagram shows the measured values witfrml7 bmz7:a8 -: b.fve+-qyutvia x 5h 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 with percentage uncertainty of 4%. The )3/ivrvty/9ogmr 1k c radius of the sphere is 3.5 ± 0.3 cm. W/c1m k/3y)gt 9roi rvvhat 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 thaw2lylg7.j/dre3d 3l e 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 acceleration due to gravity h99f h eyz3y.fproduces the followh y .99ffze3hying 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 meas 0md g, e 2d1l:tlwjh,m z36e:oxk,xjrurement has an uncertainty ome:t , hwgorx,e k d 2xzmjl01:6j3d,lf $0.5 \mathrm{~cm} .$

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 g/jok75 e )ypq$(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero offset error. Which of the followp(,wi5pnsac q 2wd7l gw bf059ing statemei(5slcad7pw 5 q,0n w 2wb9gfpnts is correct?

  A student measures a length five times. All of the mea /n)b.uvp;nv uu1 khpobwy*i -0 q5cy3surements 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 froq9ob yg4o x0(jum( )wcm a longer piece that is 12.6 ± 0.3 cm long. How long is the remaining p 4ju o(oc9 b0g(yw)qxmiece 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 $\pm 7 \%$. 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 is af a(ksw jekcp*)52 x4bpplied to a mass of 2.0 ± 0.20 kg, causing it to acceleratwj24sc)akf*bx ek5 (pe. 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 be h ths cbaj+vti9v2,43 k yu;j+*lf ct910.0 ± 0.7 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) %