Which of the following could be a v ,a ;20)jd7amhusup runit of power?

  By approximately how many powers of ten is the height of aou1cr)cdt7ms,2 y2bq human larger than the height of a grain of m )br2c71 q,cstoyu2 dsand?

  What is the value of oe30tps rj+p1; rcw,s$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a.b iz7t/vb4 c0lt vn:l) h6lbgvv 79yx fundamental unit in the SI system?

  The volume of the Earth i d.x;dpzsk e17x-+r nvs 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 an ave5(mgy: qe8gtluim pn l 03*a/yrage 35lm*aig8/qngm:t( yeplu0 y adult human in a day.

  Which of the following contains one fundamental unit and one derivedwtyp (im1ixqd 0aljnn 0234k 3 unit?

  If A=10.0 and B=0.50, which calculation will giv;4be abx:p:a-0bmz 9 x5amc pee the answer with the most decimal pla:ppmx0 m:cze - x;ae5b 4a9bbaces?

  A car has a mass of 1rcy v7i0cf-pq1b;6 nmsk zf /.000kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to tmf607i/n.brcfcqpy 1z;- v k shat of the mouse?

  A train travels $64.8 \pm 0.6$ meters in $10.665 \pm 0.04$ 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 witn82w)i*u9xo v ri7ztth sides of $4.08 \mathrm{~m}$. Each side is measured with an uncertainty of $1.9 \%$. 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 sidg;i2 ykmda -d9j9l1* l6hziyxe $x$ 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 $8.1 \%$ 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 metre rule that is grafb0 /zais3v 6s(9pkvzduated in millim09pk v 6/sa ibs3zzvf(etres, 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 $2.3 \%$ 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 measuro2c7qdyyb89:- k lg azed to be $12.5 \pm 1.4 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $3.2 \%$, 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 estimated 7mkpxvtn,47 fas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differenl2u; bg:wzo k2+w3 immce ($V$) across a resistor is measured with a digital voltmeter to be $0.54 \; V$ . 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 fov/aso9p94 h5k2tw jg dlb00fu llowing can be reduced029gw fd/s5hv4 obljku p0t 9a?

  A student measures a distadbg4tx9qd+ 2 rnce four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best es 4qd9trdbgx2 +timate of this measurement?

  A student measures two *2flhx b u,yr)lengths 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 m gjl9w 9lt9j+c6 pq46u5c ixtseasured 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 3;ww miz43 zpistates that P should var4iwzw p;zi3 m3y linearly with Q.

  The length of a pencil is measured using part of a measul+:qrhbci,g 7ring tape as shown below.hlqb 7i,g :+cr

What is the length of the pencil?

  The masses and weights of different objects are tt/op(a+smu. ro n h)eb8 :t/qindependently measured. The grapb8/(. /rnamop :ut+)etqht o sh is a 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 sides of a rectangular p wqliqzw5 fe92nhf3 -sy+nz-0late are measured, and the diagram shows the measured values with their uncertaintie 2n-eff-qqz03zh wi9w ny5s+ls.

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 uncertaintymv o )91jnfmqt0ppt-v8 yp *k9 of 8%. The radius of the sphere is 5.3 ± 0.3 cm. What is the percentage uncertainty in the mass of the sphempt q)vnomp9 tj0-9* kypvf18 re?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shonx .8s:h-os4ggli+q9dy .,v r t f:twbwn 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 accelerat+ac3jo *ww6l:t4pf9vzv p .vzion due to gravity produces the followl a pfov vpc6vzj9 :t3+w4.*zwing 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 measumg1zvs9 b0qe fj:6d r+rement has an uncertainty od1: ze0+jvb f96rqgms f $0.5 \mathrm{~cm} .$

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 fek)f/ p 6d(qi$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.0 \%$ 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 folhjoc-qcv3:tnz 2;u 2 0n88wsenh j5ielowing statem sioz 0n e;u8wjq -:3 nn2chjtv258echents is correct?

  A student measures a length five timecdlk0 3alr x.-s. 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 ± 0.3 cm long is cut from a lf,y)mh2j2km grfw0s8 onger piece that is 12.6 ± 0.3 cm long. How long is the remainin y2mwmkhs, gff2)j08rg 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 ± 0.2 N isfo o)h;k ;y/pcrq0b9c applied to a mass of 2.0 ± 0.05 kg, causing it to accelerate. What is the percentage uncertainty of its a0o f/koch9 b y;cr;pq)cceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire u:uh1g31 yyzh,egc mt .g9l (z6k*pesis measured to be 10.0 ± 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) %