Which of the following couucswf fh7;u,:ld be a unit of power?

  By approximately how many powers of ten is the height of jvcw)/ol hrx742c 9on4i d,yx a human larger than the height of a grain of san jdvx/ro4y9nh ) xcw,o2c7il4d?

  What is the value ofx 8i1r+nro9ur $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syste /dih4y(tlh: dxak: v z61)piim?

  The volume of the Earth is aptkcx-l e9i bw2)( ks.vproximately $10^{12} \mathrm{~km}^3$ 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 magnitll tp7 1-e9mkjude, the number of heartbeats of an average adult lk m71plj -e9thuman in a day.

  Which of the following c:3d kx uoce 5v:3xciq1ontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decte rs:you *n16imasynu6*tr :oe1l places?

  A car has a mass of 1000kg. A mouse has;:ukl a, i bgiks8n2agm -/lmr7)p 1ay a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that o r; :72/8-pl)kil mgygukan,iaamsb 1f the mouse?

  A train travels $84.7 \pm 0.3$ meters in $3.605 \pm 0.08$ 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 :+ 9e msf qxq7uoay*4a.dv7jda cube with sides of $1.76 \mathrm{~m}$. 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 base 2 (am 4,fd 3caygi3dleof 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 $7.5 \%$ 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 ifv9nk5xsr99 w7x6pxks graduated in millimetres, as shown belowxfxvk965k7 w9x9n s pr.

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 $5.2 \% $ uncertainty in $V$ and a $3.2 \%$ 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 is measurdw4vt)xx8t oi+cme(4 ed to be $10.5 \pm 0.7 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $6.2 \%$, 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 estimatedazt; )he 6m/av as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 (lwz whvy - 9a)qz(.f8s$V$) across a resistor is measured with a digital voltmeter to be $0.11 \; V$ . 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 x2 lhd,v,hk qw (hel--which of the following can be redu,el -w( hq xk-hhlv,2dced?

  A student measures a distance fu+0hismc( ob w8md v-6hqtf.-u d5ey; our times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.u(vqh t8c6y 5df;.--u b m oe+dhsmw0i2 cm. What is the best estimate of this measurement?

  A student measures two lengt+l d7xfbbkg)d+ gygn 6m4p(k/ p0jmc)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, areyb/ f f + t/sbov)t6ai1d(wn dtf3-2vq 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 quantitsvegzf+x4+ l+9pv uh35tg0 iqy P as quantity Q varies is plotted. Theory states that P should4pv9lt3v++hgquz5 0esi fg +x vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown belh l*fkv1wti9 uf;p1 kni1/g)tow. /ipv1 9nhti)*tgkwkf11lu ;f

What is the length of the pencil?

  The masses and weights of different objects are ind (3c*xou sw:zx:;qa )-yg f*xw rc)evtependently measured. The graph is a plot of weight vvuy eza:* :x (gfrwx;cwtcs* )oqx- 3)ersus 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 yi aa z8 lie uz72+5ve3x)mv+sof a rectangular plate are measured, and the diagram shows the measured valuese)izv +a7v s+5l23yu8z mxeia 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 unce 9q xxsb5x 6.kz2pd .dm2z5qejrtainty of 6%. The radius of the sphere is 3.1 ± 0.3 cm. What is the percentage uncertainty in the mass of the sphere? dk e2d2 p5x x6mqb.95.zxz qjs (数值) % (Please do not include the % simbol in the blank)

  Experimental data has show5 oo /zx*-.gpfii,wqen 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 cpq0n( z8 jt/rdue to gravity produces the following results:p/jq 0z r(c8nt
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measuremenmh//ym l/ p0ngt has an uncertainty op nh0/mylm g//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 regkl8;+h ,pz$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.0 \%$ 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 following e2msc/hd z o85statements is co mhoz852/ ecdsrrect?

  A student measures a len ( *yk6uas/ ,zrk74 xuv *,prcgga f.u0wvhm8bgth 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 ±fv9;geeg -:)0wh mcrln4b(ejh85 b lk 0.2 cm long is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is 8gr:9eh(4nlhbe0 cb5)jgf; lk-mvew 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 5 \%$. 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 appl/fhn;wre1 hj4 vkm:+vied to a mass of 2.0 ± 0.12 kg, causing it to accelerate. What is the percentage uncertainty of its accehf;mn4h 1evwv:r+k/ j leration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.q0zelg lx m+.vz mz-/99 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) %