Which of the following could beacj,q mr-e; jz)m.y t5 a unit of power?

  By approximately how many powers of ten iob, ls4 -98hg5+nkbxvn3zzyi s the height of a human larger than the height of a grain of sand?oszz3, g-yb94k+vnn 58x lhib

  What is the value of es.;bi*md;n t $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI svqd.7 keixktb;w5*j(ystem?

  The volume of the Eart8xrwrvlhqh7 u2s9x.2+wbgv jq t2. , rh 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 order of magnitude, the number of heartbeats of an avf +utf5j+0 cang4ovkl9i-b 0kerage adult human j5fabco4-9tfk0 iv+knl+ 0ug in a day.

  Which of the following contains one fundamental unit and one der vr)0sy-l5, uqn1aaq kived unit?

  If A=10.0 and B=0.50, which calculation will gsn1kf svc+aiuv0b7 )d4* /bycive the answer with the most decima c 0)vbdy/k+ss7*uanfbv4 ci1l places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of ma -tgx.l+xbd 0lgnitude of the ratio betwelb. +0t-lxgx den the mass of the car to that of the mouse?

  A train travels $96.7 \pm 0.4$ meters in $3.427 \pm 0.03$ 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 .dfkwi* u1)qq of a cube with sides of $3.65 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 si d7p88h cm4t5 pknpmd7de $x$ 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 $9.7 \%$ and $h$ is measured to $3 \%$, 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 grahhpk lhtx1 i; o/+;*/hr hlia4duated in millimetres, astpoh*; lkhh ih 1 rilx/h/;4+a 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 $3.3 \% $ uncertainty in $V$ and a $1.2 \%$ 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 iux nfz4tz vt;;ogk.0 -s measured to be $28.0 \pm 1.2 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $6.0 \%$, 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 e pmou(e79iha8 lp (+vzstimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 differenmj,pbm fy.)c 9b90dgg*ml *tsce ($V$) across a resistor is measured with a digital voltmeter to be $0.59 \; V$ . 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 9 tfq:3ar5xbbc r;p- v2ejtz3me quantity which of the following can bec :;r3b javzq2-xept3 tr95fb reduced?

  A student measures a dis7vuu1f:wb4 pe tance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremeb f up7uvw1:4ent?

  A student measures two lg6ag ) n-/klg.k qiir/engths 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,+n.xm d:1-z ygl9lk qm a and b, 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. Theory stah l g.ob, 4g,oh ;sk7)c/hwugqtes that P should vary linearlc.w7)ku h;glbhg,oq s/g 4,hoy with Q.

  The length of a pencil is measured using part of a measuringf 7bk. qfp+e**kw e,xt tape as shown below.px7e,wf. kfk*+ *teqb

What is the length of the pencil?

  The masses and weights of different objects are independently measurdyab3kfaserrb+ 1:6rlp e+ d.:e61i jed. The graph is a plot of weight versus mass tha:6 6pekj.: rey1aabs+31dlebr fdir + t 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 rectangulaaf4m bc7r7q1i iv;g9pupa,9w r plate are measured, and the diagram shows the measured values with thei4 ig 7m9v1pafbqp 9uw;c7, riar 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 uncertabig)x(5k 9 avwinty of 1%. The radius of the sphere is 5.4 ± 0.3 cm. What is the percentage uncertai5)9 iwgxv(k abnty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has 1 5x3da+ qcf-w;dh3qe-. rp2e c evtrbshown 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 grav,ou *v(tptnx -9ebkw5k: -hylity produces the following resultstb,-lox(t9*- wp vnuky 5khe: :
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 tad -1g k4krb5using a ruler, such that each measurement has an uncertainty 1b-ga t54kkrd 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 / bx6b3;nl4 s1capzpr$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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 the followingotq g7q2i 3vqwjd.fklsv+72 ; statements is ;ot+ jls3 277vfkqd .gvq2w qicorrect?

  A student measures a lengtzf:ww9mi;nj d1+7tur h 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 ± 0.2 cm long is cut from a longer piece thatvh y4 +.qb/oek is 12.6 ± 0.6 cm long. How .y kv4 +qehob/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 $\pm 10 \%$. 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 ± 0.4 N is applied to a m7u)x; w.r icueass of 2.0 ± 0.17 kg, causing it to accelerate. What is the percentage u7eiuurw) x .;cncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of p q k58bd.u+aew9b jof3tb,5h wire is measured to be 10.0 ± 2.0 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) %