Which of the following could 1vv(v jg3uvqdt 7 y+i*h;1fie be a unit of power?

  By approximately how many powers of ten is the height cctpd7-pp6u: of a human larger than the height ofc6-d:tpp7pc u a grain of sand?

  What is the value ofa)5a iao6p+vyl3j,j t $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental ung)3 n1 vxfryn(it in the SI system?

  The volume of the Earwp*i l0/xfhs+th 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 od;(pr+b s7z hr( 6pecvge jcp ys2:*a)rder of magnitude, the number of heartbeats of an average adult human ac: ;hpyge27dpz)6c js *(e( rr vs+bpin a day.

  Which of the following contains one fu azip.y1o;t-r:co /ysndamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will ia3ck rqyjnt6j-3g 274 j9plh give the answer with the most decimal lktn3 9376 qrhj42a-gcjypijplaces?

  A car has a mass of 1000kg. A mousecr, d )+wsw z7ex:pdy3bw,m5 n has a mass of 10g. What is the order of magnitude of the ratio between the mass ofnrwyds 5+x):e pdwbc3 ,z m7w, the car to that of the mouse?

  A train travels $81.7 \pm 0.6$ meters in $4.725 \pm 0.05$ 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 cuu 5 ,z iu7uz/vsl8 + wqiv)zxlva)m/m6be with sides of $5.08 \mathrm{~m}$. 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 baselie:4 )o0*ybj hw )nmt 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 $9.1 \%$ 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 measured :j a) dgwm303yh:gfbbusing part of a metre rule that is graduated in millimetres, abw)m:hb fg a d33:0yjgs 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 $6.4 \% $ 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 measurel2wul0 wy/e;n m2el3c d to be $28.4 \pm 0.5 \; cm$. 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 $1.0 \%$ and the uncertainty in $l$ is $3.5 \%$, 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 s;vgl5xg) 2by-b,(oil6r cgc a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 difference 0q) oeix. pc1+kr2brl ($V$) across a resistor is measured with a digital voltmeter to be $0.25 \; V$ . 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 thelys-hgcjvh.xv +6yh( 0*i 1qj same quantity which of the following can b(svh -yqh.+v*h6 xjgi0j1ylce reduced?

  A student measures a distance four times. The readings are 37.8 cm, 3x6) ,ri3n ud4o )brrzes q(nq9voq f,27.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuoqfn is,9oqx(dnr) 2zruerv)6b3q ,4 rement?

  A student measures two lengths as follows: p38vu f6e f9ls$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are mea -he2mgmq4u-9u h;.zafc( unosured 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 quantitynx/5u.gz oz )g Q varies is plotted. Theory states that P should vary linearly with Q/z5 )g unzog.x.

  The length of a pencil is measured using part of a meas5es ;eo2a(quh uring tape as shown belowahe(5; 2ueqos.

What is the length of the pencil?

  The masses and weights of different objects are indepe0l ubv(2)myru+pe58lcb tey:lj1z b0ndently measured. The graph is a plot of weight versus mass that includes error bar5(e)b ulz 0:+p el u8yvb1 jbty0mr2cls.

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 shq7q ws+3rlkg go2mrpb6 (6px0 ows the measured va0 qmgr 76p+kr l2pg(wx3o6 bqslues 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 of 7%. Thelrleb 4ml,3fo0y d;f /8s 5rzgxrzi+( radius of the sphere is 5.9 ± 0.1 cm. What is the percentage uncertaintri loye3m( 4xzsz rfg lf +r;b/d8l,50y in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shownb 8yn sas,,pf-m8zx0 l 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 acc 8uaw w dnxp3 5qsv0t-uveh9*-eleration due to gravity produces the following resu9-sw t0pve*qa8h d3uxwn5v u-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 ruler6or +hglirut +fn*ts-k n 071e, such that each measurement has an uncertainty onu+ 0il7t sfhtreng6- k or*+1f $0.5 \mathrm{~cm} .$

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 mass5( f9kx1hvnzkd 5y;hh $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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-ne,:ue m djjnm83gligible zero offset error. Which of the following statements is correcj:mu,dem 38 njt?

  A student measures a length five times. All of the measuf:pm ps41fi qw5hmv-g p(tv8 ixq,c+/rements 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 ± 0.5 cm long is cut from a longer piece that jphfl*eo6:v .is 12.6 ± 0.2 cm long. Hpoh6f *:v.eljow 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 applied to a mass of 2.0 ± 0.25 kg, causing it to a 66po7jv 2a8vhr:i vkxccelerate. What is the percentage uncertainty of its acceleration? a7hvivkoxjp26:8 v6r  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wirb/ya. pjl* e3ne 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) %