Which of the following could be a unit of powr 40 xnq9ih k/0sh1utter?

  By approximately how many powers of ten is the height of a human larger than twc.xq09 ,oghx4 xm4+ln9r cvvhe height of a9 m4q 90+lnw4 rxocc vh,gxxv. grain of sand?

  What is the value of ht /n/ ehpd3nxxi0g30-ru(hm$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the j6 h41jxz+sz 5sdy-be SI system?

  The volume of the Earth is apl - 6r4b h/hw/:hx(pnvc6dz 9lw 5qjgfproximately $10^{12} \mathrm{~km}^3$ 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,69 w cqjb /vrez.vyoyu.:94 qy the number of heartbeats of an average adult human in a y9/. qo.z:w496uyvq r jybvceday.

  Which of the following contains one fundamental unit and oix20;87z z cl -gj/vlta)dzhhne derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most y0xfy iy+5 m2adecimal placxyy +faym 205ies?

  A car has a mass of 1000kg. A mouse has a mass oj.*hmy ,o5e9jbjf*d* ,t1xi wizw n/xf 10g. What is the order of magnitude of the 5jjif/**. n,tbiejxmwoxy,z 1h9 *d wratio between the mass of the car to that of the mouse?

  A train travels $36.6 \pm 0.8$ meters in $9.960 \pm 0.05$ 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 svt 1so.*i zflvb 3i(o3i3.jh chape of a cube with sides of $2.54 \mathrm{~m}$. 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 basefq81tgv760 iuq s7mv,t .ub mv 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 $4.5 \%$ 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 rule that is graduyp5 b jw i-wv03a0qbymd2+j r q9-hla)ated in mymqv5-bq9wjj2a0-0+pwa3h )y iblrdillimetres, 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 $4.5 \% $ uncertainty in $V$ and a $2.4 \%$ 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 to b,braz x* 2r8j9m m, yt,o*bkneq h2p8oe $12.9 \pm 1.2 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $3.9 \%$, 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 sides of a s-fv;abq3 uf 5room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differcvty9z pu.30oence ($V$) across a resistor is measured with a digital voltmeter to be $0.19 \; V$ . 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 tmrk2 az 3ilt(bbv5(seu +3su.* z* qiohe same quantity which of the following can be re3*b .q*u+zs ezt r ov52mklsbu(ai3(i duced?

  A student measures a distance four times. The readf +r.6nwlh y-rings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Whath6 +f ynrr-lw. is the best estimate of this measurement?

  A student measures two lengt3 uwy 1v+aoy oi,zq;ce(nk(y.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 b, are measured to be kjz ;8bq7 cho1u*p.if$(5.1 \pm 0.1)s$ 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 varies2jf/ (4t gaomfjq/chj4;f:kb is plotted. Theory states that P should varyfoh;/k4 ba /qf( j42t:jmcf jg linearly with Q.

  The length of a pencil is measwb /go jeo815cured using part of a measuring tape as shown belowjowebg58 1c/ o.

What is the length of the pencil?

  The masses and weights of different objects are independently mea n). wh (x*)nxjbqw;mqsured. The graph is a plot of weight versus mass that x.jbwn h;)n(mx* q) wqincludes 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 sides of a recta2u5;uc8* wzmerhn 4f lq/j 6oht;9qijngular plate are measured, and the diagram shows the measured56ut2/j rj qqz*f h8;no icuhwm9l4;e 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 uncer45koy zm9su 7ftainty of 2%. The radius of the sphere is usoymkz579 f4 2.6 ± 0.1 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sh i2 cgnrv2+c(m9qjae woh5,6qf-h -vhown 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 tllp j.d63 te5yo gravity produces the following results5j.d3tlyep l6 :
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 eajucetl;ga; 7-ch measurement has an uncertainje a-7l gc;ut;ty 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 masna3t:fh mv*cq 0 z6qb:s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.6 \%$ 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 t.picus idna8;fs-5; 9w hl8dthe following statements is corrects8- ;.cd9nia f8p hid;slt5w u?

  A student measures a leng p4inrgl+ xycn3z 8k2676dzqkfx53s rth five times. All of the 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 ± 0.4 cm long is cut froe x)s3,twh()m rukn;em a longer piece that is 12.6 ± 0.5 cm long. How long is the remaining piece)h,tusre n)x3mwk(e ; 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 ± 0.5 N is avobp9 v7dh7f0xcfm os g2 (3f/pplied to a mass of 2.0 ± 0.07 kg, causing it to accelerate. Wh/govb9pff o cm3 7(vdhx 70fs2at 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 jw54-wq8 s 3+wyswd xl:( bczd10.0 ± 0.5 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) %