Which of the following could be a unit of powexv5( 2d (gyrqjr?

  By approximately how many powers of ten is the he5 sfj j4i:h ylsq,e;g6ight of a human larger than the height of a grain of 4:sjqfhe ;,s5gyl 6 jisand?

  What is the value of 416ye)n,jojd 5bmvi k$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syste (0z he5nhxt7bm?

  The volume of the Earth is approx p r6uo8ze 7r9u17kmuj osq-/simately $10^{12} \mathrm{~km}^3$ 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 numberloijh;o4x; dbeg7f /o98n .)k shws-p of heartbeats of an averagb 7ljwk ;9gh o oes) fn4i;od-.x/hps8e adult human in a day.

  Which of the following contay/f-mqfd w8w 0ins one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, whicle9 wz;l6esz-8jm -dth calculation will give the answer with the most decimal places?el-- mte9 sw6lj8; zdz

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is t(rij f6*hqmz; jre2uxyi;z2+ he order of magnitude of the;i2 zx(;rrhj 26zf jyu+emq i* ratio between the mass of the car to that of the mouse?

  A train travels $54.5 \pm 0.6$ meters in $8.111 \pm 0.07$ 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 cubi0km/ xd)0 wmajyyiq15t .x8l e with sides of $3.10 \mathrm{~m}$. Each side is measured with an uncertainty of $0.4 \%$. 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 (p z la)) -ktm)qoj0jrside $x$ 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 $9.1 \%$ and $h$ is measured to $2 \%$, 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 lkl9 n 5p9gg3bjc0eqj 6y4gx+m5k k)gmetre rule that is graduated i55n 9lg9pg3 ) bkjegk4c6 k0+gm xjylqn millimetres, 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 $4.9 \% $ uncertainty in $V$ and a $0.9 \%$ 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 gcsnt+7zx1t ; w6e1lmbe $29.5 \pm 1.9 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $4.3 \%$, 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 vp ,fp9 ,0docqof 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 differx*25kmg okkx /: thhs-.ymy 1uence ($V$) across a resistor is measured with a digital voltmeter to be $0.35 \; V$ . 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*v pdd5fy 7s5dme quantity which of the following can be ry5 dpd7fv*5dseduced?

  A student measures a distance four times. The nq(tw)q; a ,wbcv9v*sreadings are 37.8 cm, 37.9 cm, 38.1 cm, 38.bw q a;wv,nc*q)vts(92 cm. What is the best estimate of this measurement?

  A student measures two lengths : ux sm*q+hjig 9 gk),9vdfl2das 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 eventq1sb) 3zqd,v foa niio,/k8x,s, 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 states tz.g rs)u:2kqg+ ry 3bd-x 1(b2rqublxhat P should varqr2 3. g-bqrxd2(lr1k:xsby+)u g zbuy linearly with Q.

  The length of a pencil is measured using part of a measuring tape as (4utzvka51 x rshown below. 4zt 5r1(xvuak

What is the length of the pencil?

  The masses and weights of differenane 2;7foj- lwl5oy.gt objects are independently measured. The graph is a plot of weight versus mass that;wn2 -lly7 5foa.jg eo 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, am9rorz)3 qf;:a) takmqr06us: 3.on seua 6snnd the diagram shows the measured nrtuo a; 6me9fz)3u0: : )r3oqsnas.q6mska r 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 sphev6c- r cm2c.ilre is measured with percentage uncertainty of 6%. The radius of the sphere is 4.2 ±r c2lc6vc.im- 0.1 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasm zo07t -lmp.osv14o t 0lkm-,vbk s,k shown 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 gravity producesr5m+: i:uu5aey* ukec the followin kemyuaice+u: 5u: 5r*g 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 measurement has an uncj bnxa77a: gij3a,pr/ertaintyn7ji,pb7g xa 3 :/raaj 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 mase(lu97a)hy n zs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.5 \%$ 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 ze(i,rky8 h:cjq v0 iyw-ro offset error. Which of the following statements is correct k: w(0qi j,h8yr-ivcy?

  A student measures a length five times. All of the mempf vz+*b( y3 (r4bn i4ei9sylasurements 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 a2o 3h ks-8mk:rz bu8tk longer piece that is 12.6 ± 0.7 cm long. How long is the remaining pk388ubo-hkm:krt2 zs iece 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 $\pm 6 \%$. 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 ± 1.6 N 2 5 mmts4ldqhu;s;yg5 is applied to a mass of 2.0 ± 0.03 kg, causing it to accelerate. Whs5gqm 4l5st mu;dhy; 2at is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 0.9 h,m,*vigl+5 a,kdnux 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) %