Which of the following cougno6by,+ 0g9ii wz bsa7 b+ 6,ra0kym.sfb1lold be a unit of power?

  By approximately how many pow9bpkdbj/zpc.y fp6 )* pu n9+jers of ten is the height of a human larger than the height u pc99jkdp )p/z.6b nyj*b p+fof a grain of sand?

  What is the value ofi(/nykk60 ref vy r3w2 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI systinkt ll1i:.lc,5g +y+dud;aj em?

  The volume of the Earth is approximatempi1:uatc2,xk-be2xd9 be qi:g .9fp ly $10^{12} \mathrm{~km}^3$ 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, thern9:i*l/ 4 .one d2 u7 te p6h-qxrzapf3ehah+ number of heartbeats of an average n9dt:4z.e pa/hi3+a7he rf2ulqrxop6 e h*-nadult human in a day.

  Which of the following contains one fundamentalji8d1t vfpi qhsl2 63. unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decm (r*+. wm,xu:woijd dimal pla dm(m:d*oi jxw.rwu+, ces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of mawv xnsn-/ 2nxf/6.u 3e ,n+f6zkxwtgognitude of the ratio between the mass of theo-/, wznvk/2xfxnsnfg .6 t +63 xuewn car to that of the mouse?

  A train travels $81.1 \pm 0.6$ meters in $13.796 \pm 0.08$ 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 cube with s,f4u4z r l5soijk0,iiides of $4.60 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 side6kgjo1vxdd/ 8 $x$ 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 $6.8 \%$ and $h$ is measured to $4 \%$, 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 th qqr /5hf48j9rf1t yreat is graduated in millimetres, as shown below.rhqf e458 ytq f/19rrj

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 $6.0 \% $ uncertainty in $V$ and a $2.5 \%$ 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 b3.k.m7 f yhrh$23.2 \pm 0.4 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $3.6 \%$, 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 r1 y+asryfo97 a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 ylok* +amo3h)($V$) across a resistor is measured with a digital voltmeter to be $0.64 \; V$ . 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 thdic6;*f5 c:is bnew 1 7ql-vzze following can be reduced- izq 57ve:c *16 nbwzcd;sifl?

  A student measures a distance four times. The readings are 37.8 f 4r clojjp0//cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremerocj //f40ljpnt?

  A student measures twg)rrw/)fxk+p/ ae abii 93gz (o 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 /ztws8 uo-6jaysh/z,ce*7 m xb, 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 qua bk6;zkb qv;f+: ,arsm pt7/tdntity P as quantity Q varies is plotted. Theory states that P should var:t;at bz,;kdm 6k +q 7f/pbrvsy linearly with Q.

  The length of a pencil is measured using parj /0*ylh 8-g.sdh vkspt of a measuring tape as shown below.gls0 *j8h .syp-k/vhd

What is the length of the pencil?

  The masses and weightsm 5s p2f9a7hsx of different objects are independently measured. The graph is a plot of weight m5 xshp27s 9faversus 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 o)jd4 rim rji.)mcn8 w:f a rectangular plate are measured, and the diagram shows .rw n):crm84ji mid)jthe measured 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 2ig my.dr6xyo1(j5bgcj2z6 x uncertainty of 8%. The radius of the sphere is 2.9 ± 0.3 cm. What is the percentage uncertaint56cd y rmjoz2.6j2 ix(xybg1gy in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown af w.db)499ptkzvp u8 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 acceief7dkh7b lq:t.tb5 * leration due to gravity produces the following b 7bteq:f.ildth*7k 5results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 draw0 jfr/sern99rn using a ruler, such that each measurement has an uncertaintyrr90fn/e9 rjs 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 ,neep/yjp,k+ $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.2 \%$ 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 fol80j jw0n+ry gf v5x8golowing statements is correct?vgr0o 08 fgwx5+yj jn8

  A student measures a length i tbdf)1,mm yq l1v7r: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 from a lonic cth7 5iy*e7ger piece that is 12.6 ± 0.6 cm long. Hoe ci* ytch7i75w 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. 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 applied to a mass of 2.0 ± 0.06 kg, causing it x20ei g8 jmvlz*:z sh.to accelerate. What is the percentage uncertainty of its acceleration?m8 sxgh 2iljz0z *v:e.  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 5 .nt16e poa.:91nh7okyz knzio2u tf ± 1.8 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) %