Which of the following could be a./fnk0u3qh(b7ohu wu unit of power?

  By approximately how many powers of ten is the height of a human larger than thet* .qj)u*sg n y7gtvr6 height osttryq*ju7g g) vn 6.*f a grain of sand?

  What is the value of 5d/w.p;2 9qu-b l yzrmveg,vmi,8zd w$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in tpd.w6k0.an akp tnm ;.he SI system?

  The volume of the Earth is approximpjgmm.(iq cxlis-d7nb pqos3-*, f, w 9v)kk+ately $10^{12} \mathrm{~km}^3$ 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 a -y+a ,l(wt0nmmn2 e uj8bwy8km.grr (n average adult humany8k emyjbmwlg. t ua8n(nr0( - ,wm+2r in a day.

  Which of the following contains one fuq*0bh ,ps8od3x rqusairb-: 0jer *-undamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the ar-+cjgi.jgqhlc)7cp*.m :q,q x* odsnswer with the most decimal places?c.l djq +:coqp* s)ch jg.,*i7xmrq-g

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order o9wqiz(q8rs016flzk ;8wixrd w p 7n6 vf magnitude of the ratio between the mass of the car to that of p7fkz( wvw 9;zxr 0sqw1qrl68id6ni8 the mouse?

  A train travels $90.0 \pm 0.2$ meters in $9.561 \pm 0.07$ 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 m9i(lp;kab q. h6,mic $2.79 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. 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 side xqql t+p6tm*2:xk d 8v$x$ 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 $6.0 \%$ 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 muj0( ghe u:9z-ar5gs;mijsd-etre rule that is graduated in millimetreu g9;sujz5- damjig(h 0re- :ss, 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 $5.1 \% $ uncertainty in $V$ and a $2.2 \%$ 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;ja 7w(2qpjy g7sukb 5 to be $28.7 \pm 1.7 \; cm$. 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 $2.2 \%$ and the uncertainty in $l$ is $5.4 \%$, 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 arenjz+rezl: + m. estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differencen8,i78k),v qzo6js8akhvwx x ($V$) across a resistor is measured with a digital voltmeter to be $0.16 \; V$ . 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 sa)q48l,xa5rlb(gaf8 js7f ;wc3nq yc vme quantity which of the following can be reg,3l )n(fq8 8 ;ac75 rqxjbalvy4swfcduced?

  A student measures a distance four times. The readings are 37.8 cm,l /fj1gcw k/x1 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thcg /l/k1jfw x1is measurement?

  A student measures two lengtm duu ma3g3a8,p0dsy ;hs 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 ifhth knq*q p 9;l+(ig)9;ndyb, are 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 quantity Q varies is plotted.mw 9, ,.pu f,xfkcon.o Theory states that P should vary c xwn9 p u.,k,fmofo.,linearly with Q.

  The length of a pencil is mp os 0x3;fjw9ceasured using part of a measuring tape as shown below.p;sxj0 owc93f

What is the length of the pencil?

  The masses and weights of different obje9* ui+;k .cokt+dj rxzcts are independently measured. The graph is a plot of weight versus mass that includes ek .dxzk +9*+tjr co;uirror 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 measured, and the diagram * dsxka5y),ug/ u2paishows the measured values with thy daa2x/sg)ip 5u uk,*eir 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 of6 z 1wg;hyuov1 7%. The radius of the sphere is 3.2 ± 0.3 cm. Whwzuygh1 v1; 6oat is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sh36ah lz.2(lt uu st ncgan91k6own 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 to gravity produces w8 -yp7mhgf1xthe followinggw1mf yh8x-p7 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 thay np 7/2upw/iyj7-gj ft each measurement has an uncertain jjpwf7/7/u 2 gy-pynity 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 qks;7b( aj fw+597e0 9, omtppjknkrb$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.5 \%$ 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-negtr 7jfs* ucm,;)zfjy .ligible zero offset error. Which of the following statements is coj rm*;) zfft7cs.uy, jrrect?

  A student measures a length five times. All of the measurements lie bhc2g)qhdv g 8-etween $18.8 \mathrm{~cm}$ 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 ± 0.4 cm long is cut from a longer rvqj rr xyc*1u-g w5;xl.r9k/u9xm0o piece that is 12.6 ± 0.8 cm long. How long is the remairx9rlw 9q-k*m;rcx . u 5/yvxgor0uj1 ning 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 $\pm 8 \%$. 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 ± 1.3 N is jnf;4 1awrb7a :iwu)y applied to a mass of 2.0 ± 0.08 kg, causing it to accelerate. What isw )f:a;b aryi4 nuw17j 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:d ynme 73yt rvzv33h0 10.0 ± 1.6 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) %