Which of the following could be a un m9elfqd-sw0 gju:2 .l9-l b(fnlf pj-it of power?

  By approximately how many powers of ten is ,v+6az ictw/2d(nnpguk d8 8c the height of a human larger than the hei +8npcc8 i(2ad/nw6,dz gt vkught of a grain of sand?

  What is the value of2cg +lrk2fhv 8i+fffka 06 8dn;clmh 0 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syhuik-6 .-xr5f a yfqg+:p fdh)stem?

  The volume of the Earth is approximatn/spy 4 ppf22yh qx4xi83-zwnely $10^{12} \mathrm{~km}^3$ 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 magnitgq:ex2vowq5y( g7tro4 73p w/rivz/mude, the number of heartbeats of an averae/5( vpvmrz7ow 4 3ty2gg7qwoi/r:x qge adult human in a day.

  Which of the following contains one fundamental unit and one derived unit?* s k/jh- so;p(9jch)*vlp lrf

  If A=10.0 and B=0.50, which calculation 8bryzfki:lq agb)32kly3z)us7w4 t .will give the answer with the most decimay sktlwazib) y:3gk 2l3ru)87.b z4fql places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the q4m:md g n4wa3order of magnitude of the ratio between the mass of the car to that of the mo n4m3 q:dgam4wuse?

  A train travels $49.7 \pm 0.4$ meters in $13.973 \pm 0.05$ 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 cube ny dw e(520jzlpy7j 4lwith sides of $2.39 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 sid.kdtro2 4xov; e $x$ 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 $4.1 \%$ 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 rui5 m(p)z pig- yg4rp;hle that is graduated in millimetres, h5y;4izpp(rm- pggi)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 $6.1 \% $ 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 mef.(iu4+owj3zhri b 8o6*vrx zasured to be $18.1 \pm 0.8 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $2.5 \%$, 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 a o/wc5x8-+qls odw gn(re estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differ c wm)plf8q,j-ence ($V$) across a resistor is measured with a digital voltmeter to be $0.35 \; V$ . 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 wzm 4ut q/n-hq-9ickx2hich of the following can betqcm-4 kuxi 9/-nh2q z reduced?

  A student measures aqh*rivnkz83 ) mrnx- 2pfjq.+ distance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thismniq prr kn fh3 2v*+)8x-.qjz measurement?

  A student measures two lengths as follo24e23mkan xl(tz qx :sws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measukbfp;rpj dm.m;hz5x6 g (0tc5red 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. Theo+s11 nlzo p6c xahyy99lp.w0hry states that P should vary linearly with lhsnac+ lwy z69.x9hpy1o 01pQ.

  The length of a pencil is measured using part of a measuring tape as shown bey;bcn2x ; kr4plow.n b24pyk;xcr;

What is the length of the pencil?

  The masses and weights of different objects are independently mdvg.pmej.54 w/ riix8 easured. The graph is exp/ 5d4. rgw.v8m ijia plot 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 side ;/5 jrfbek xrr:p0idx4/1aq)w.n llos of a rectangular plate are measured, and the diagram shows the measuredr )kief 5/:lpw r;0o ra.n1/qxj4bdl x 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 with percentage uncertainty oi,w 9n/9ad:3ly wu;gaw v5w yuf 7%. The radius of the sphere is 1.8 ± 0.1 cm. What is thi,;awgy5 dn/yu9w avw l3w9: ue percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:h e-sqlbbtwum8- ) d1,o, d txmocl*8+
$$
P=\frac{g h^2}{u^3}
$$
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 the follj ql4dd4p.+ ,k;6fzvotip e 5gowing results:d+z.pl; 5pvt,e4 o fg4idq6kj
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 cg6(cv1+ abjf an uncertainty 16b f (+cvjcagof $0.5 \mathrm{~cm} .$

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 masla1)-2ne/f em qnzqvo2) ,k bos $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.2 \%$ 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. )htxiq+ qo14qaq/8mod5kf-fen j 0: tWhich of the following statements iafq ht:kf1q5qxm+t /n qdoo8j 4)ei0-s correct?

  A student measures a length five times. All of the measurements l. +funt;x*r ap5w2ynl ie 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 ± 0.2 cm long is cut from a longer piece xhwf x af(6,c.that is 12.6 ± 0.4 cm long. Ho , xa.fx(hcw6fw 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 $\pm 4 \%$ 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 ± 0.8 N is applied to a mass of 2.d3 hjvl2 gt)6lxssuw2fy5g +20 ± 0.15 kg, causing it to accelerate. What is the percentage uncerta3fh)glj5sv l2 y226tdw+ug sxinty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wzkktq 2vy iq7bc2- ro/m ./8fwire is measured to be 10.0 ± 2.1 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) %