Which of the following could bej 84qvtz6h: be a unit of power?

  By approximately how many powers of ten is the height (:24j k g)gwcoxv)j atof a human larger than the height of a grain o jv: ctjkx42ag)o(gw) f sand?

  What is the value of uc hcj/ gr:y*7l:p:kf $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is azhk)i rk-e4 2dz;m/z z fundamental unit in the SI system?

  The volume of the Earth is approximaado 1x9dxs k2,tely $10^{12} \mathrm{~km}^3$ 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 numtfrp:*;z, cvyber of heartbeats of an average adyt:* ,f;cprzv ult human in a day.

  Which of the following contains one fundamental unit 5v.0ltwrqemlo 7gx(y9 /w qs4mfpdocn/8; ;eand one derived unit?

  If A=10.0 and B=0.50, which calculatign201*rb31n h gzxqi n;w0 avson will give the answer with the most decimahzg qn1x*r2 0 1gi0sw3vn nb;al places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of m -:tyg8f wjsn;.rnirg ;r, s6ragnitude os r;6i ngjy nr8.;rg,:rws f-tf the ratio between the mass of the car to that of the mouse?

  A train travels $68.3 \pm 0.5$ meters in $6.072 \pm 0.04$ 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 shn5owmrfh; g q4+e5-e+b xlj)jape of a cube with sides of $2.74 \mathrm{~m}$. 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 of sideowzao b-81g0y ,d36 drsw lx-p $x$ 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 $9.6 \%$ and $h$ is measured to $1 \%$, 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 pan,su(wgap 0i0 rt of a metre rule that is graduated in millimetres, as shown belo0awi ,ps (0ungw.

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 $4.3 \% $ uncertainty in $V$ and a $1.0 \%$ 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 toh +)amsq5b-nv be $14.8 \pm 1.3 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $2.4 \%$, 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 estjk01k-w +y a,9a-thqpybzb f-imated 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 differenc (n0qo a.e1o;ke0, sbborvd 6ye ($V$) across a resistor is measured with a digital voltmeter to be $0.75 \; V$ . 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 sam 1ee2z0xzwhd;ie2 -dle quantity which of the following can edz02zxh 2diel1; -we be reduced?

  A student measures a distance four times. The readings acc*zrwk3 j0vvgc6 5yrofk.. vu5**o wre 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurc5u*5 .c.jw*0 3vz oyk6rgcfvr wvo* kement?

  A student measures two lengths as folubmfh. app 8csq+6v/; lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two even,uagum )jgk n ,-r8apm* 8w-.-bgiydbts, 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 th3poqykp0vh h :l xf)juvc 10--at P should vary :jpfqkoyv phu-)0 x-30lcv h1linearly with Q.

  The length of a pencil is measured usi / gjo)zebwem oa 4x890qp1l2ing part of a measuring tape as shown belowjx1 loem4i)8z b 0/e oga92qwp.

What is the length of the pencil?

  The masses and weights of different objects are independentlyrkt 3+1e rioo6 measured. The graph is a plot of weight verti 3or+ 16eokrsus 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 arex/r )n7bv ar 5m6gv)sx measured, and the diagram shows the measured values with their uncertaintienr)b/s x65av x7mr )gvs.

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 pef,3 a g2bze*ghviy1;ercentage uncertainty of 4%. The radius of the sphere is 3.4 ± 0.5 cm. What is the percenta1y* ezb; 32hg,ae vgfige uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data ha3p wmk9l0s+q 3l+g gsvi;pjh;s 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 produces the folloris;el8x8 aw4wing8;is 4e8raxlw 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 ;-q-(i /zkdyjycl 6s*yc.;o ru1seah , such that each measurement has an uncertainty of ;sa d.-i-h;y1se rc6ouc z yk*/jqly($0.5 \mathrm{~cm} .$

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 mas l410n-ctvexv s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.1 \%$ 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-ne *.l1q7mvnrt x:l8wbpgligible zero offset error. Which of the following statementp7m rq.xvn: ll1b w8*ts is correct?

  A student measures a length five times. All of the m hxim-*rhqp 5a 2.3jtreasurements 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 ± 0.5 cm long is cut from a longer piece thfg x2l ejczc.j)2ac;5 at is 12.6 ± 0.2 cm long. How lo;glc.j2 fjza5c2c )exng 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 $\pm 8 \%$. 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 ± 1.1 N is applied to a mass of 2.0 ± 0.22 kg, causinnp j fbw-r v :5ke57 6jw)mdi9v:w9dfcg it to accelerate. What isnr:wd9dvj:j-ww9m57 e bf56)cpvkfi 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 wl2d2s ew8xp: be 10.0 ± 0.9 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) %