Which of the following could be a unit of power?uik7;;4y (z/5nhq zc) uiveck o(ybb*

  By approximately how many powers of ten is the height of qp j,mnm1tj;4y:q m1fv5)j7jy2hx2iv0 fo eqa human larger than the height of a grain of sa m vx2qy fv jqqfit2jy;ho:,m14) 5p07nj1emjnd?

  What is the value of .kknv:8zb1:y )h(tyihlk kel.1 ofx2$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the Stucn zgkoh ih c0tbv o,v)a(7---7r .vI system?

  The volume of the Earth is apdju3-9 ,tg fqjproximately $10^{12} \mathrm{~km}^3$ 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 ag 9,1tpage7e lds9:ilo w ,k-vverage adult human in a9 twgaoes7 vl-delg,,1 p:9i k day.

  Which of the following )-qhi4ie(kxdj zq4xdtd: /f 5 contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation1ug et 4m2;omx will give the answer with the most decimal plomxu12e4m ;tg aces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What isln acqk. fba9t8 4e,*j the order of magnitude of the ratio between the mass of the cak*c.b 8 je9 4alf,tqanr to that of the mouse?

  A train travels $87.1 \pm 0.2$ meters in $3.420 \pm 0.08$ 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 a cubexyw f1c7pia. 5 with sides of $4.46 \mathrm{~m}$. 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 sid l h1ul)hw8qpi0*wt.ke $x$ 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 $5.9 \%$ 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 using22 uo+qtm wzjwq z5p8s33xf1 c part of a metre rule that is graduated in millimetres, as shown t1 quzc+w3s mp285 o2wxj3qzfbelow.

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 $4.8 \% $ uncertainty in $V$ and a $1.7 \%$ 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 be o qzbr.6rvcf92mi p4dp30,pr $23.5 \pm 1.2 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $2.8 \%$, 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 2 *(p lje9h9dei*bx nqestimated 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 differenc cwv+;c npt*.je ($V$) across a resistor is measured with a digital voltmeter to be $0.50 \; V$ . 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 following c)k -d.1eiq 0,0g kexgd(cmojkan (g0dkdj x.oiceg0mekq1 -)k ,be reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm,ci):c w5.qxf9,f tdb 0idnp*tn6 );a )ntef by 38.1 c,t9 f5.piad0tn)6 fi fn: c)beyt * qbn;)wcdxm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengt kwd/8br- 3ycfhs 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 blf ,c/mk)8n6w3dwxwonz w v)*e $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

  The variation of quantitfxw-zewq o r 2ov5j6lf069fu9 ds)8ahy P as quantity Q varies is plotted. Theory states that P should vary linearf9rdqafw652zo8u)0xelhsj v -6o9 fwly with Q.

  The length of a pencil is measured using part fhyl/ o9.gk fkc ; l;j 49h)4ipbvuri6of a measuring tape as shown below.f)lv yu j;k /rk4b6op9hh4cfig 9; il.

What is the length of the pencil?

  The masses and weights of different objects are inde +xgz th14.srjn;*y)jp9rc eependently measured. The graph is. n1rg9ts*ye)ej + c ;r4phjxz 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 plate are measured, and ;abmtrcpx/4 yb w(90o the diagram shows the mexob4w t;ay b9(mpc/ r0asured 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 sp8oi9hwsl / 0ichere is measured with percentage uncertainty of 8%. The radius of the sphere is 4.2 ± 0.2 cm. Whatiio/0w8 9hc sl is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown tlm.1:8 nvjna5p j-d vthat:
$$
P=\frac{g h^2}{u^3}
$$
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 tozd(3xxqwc/)1xryla ol o .* d4 measure the acceleration due to gravity produces the following1*c.r xz/xwy )l4 (xdqld3a oo 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 measuremeno.5ag8nj(y7i4dx vd wt has an uncertainty d7 j4a8dxv.gyo i(wn5of $0.5 \mathrm{~cm} .$

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 vw7f(y9 gwx 55nu .nwg 2.;at czrga0p$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.8 \%$ 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 z-*uwfuh d-h4jadu 2p 5ero offset error. Which of the following statemep--u2dadu f *uj45whhnts is correct?

  A student measures a length five tss2,enl n)d6 jimes. 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 ± 0.1 cme(:0jy16;u hrlny,uoo qgru 1c6 6dss long is cut from a longer piece that is 12.6 ± 0.oos y,y1r:udeqnuj 61cuh r(6s60g;l 2 cm long. How 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 $\pm 4 \%$. 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 ± 0.9 N is applied to a mass of 2.0 ± 0.23 *o1wj thcangb8oc pj-v 64):ukg, causing it to accelerate. What is the percentage uncert8vna)op6g4 - 1hc wcjo*ujbt:ainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to ;f0sz 3qu n5ffj(eotv bhd-,9 be 10.0 ± 1.6 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) %