Which of the following could be a uvb2or2q1 yd1po y: 0bfnit of power?

  By approximately how many powers)tpfat7 eaw(vp u5hs,sx.; jdu1,,nb of ten is the height of a human larger than the height t xd ,apnaus,u)7,bjp;v1(sw5.efthof a grain of sand?

  What is the value of8;2l/8p gbwsrry s 2jw $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the akp*4nl i3 :8n/ fdofwSI system?

  The volume of the Earth is approximately-/cudyr2io3g v0p f k9,-a aza $10^{12} \mathrm{~km}^3$ 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 anb638t;cvahu m avera6t m3ucavb ;8hge adult human in a day.

  Which of the following contains one fundamend9pq qg:eiya:l 2mv +0tal unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give tmxr m+r(t/2 xthe answer with the most decimal p xt/ rtxmmr2(+laces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is th fk ko(2a*58n plgo.xue order of magnitude of the ratio between the mass of theolox.(k*2 fuk gp58 an car to that of the mouse?

  A train travels $60.9 \pm 0.3$ meters in $8.470 \pm 0.07$ 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 cube with side i2 x,r)wgk x()axn:hls of $4.15 \mathrm{~m}$. Each side is measured with an uncertainty of $0.3 \%$. 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 dt6a3l j; qa,i6aw,po base of 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 $9.4 \%$ 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 j9 tm)b:a am8kis measured using part of a metre rule that is graduated in millab am8mk t9)j:imetres, 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 $4.1 \% $ uncertainty in $V$ and a $2.4 \%$ 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 a5n+-y;ry zs nic)oz( to be $18.5 \pm 0.7 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $5.6 \%$, 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 a room are estimated as :zr.lh8)aalfe 0s6zvku7 6f*l *u u jj$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 differenceu6+,r g tzsmy7j gui2jt. *yl; ($V$) across a resistor is measured with a digital voltmeter to be $0.48 \; V$ . 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 quanti1;ueso *fji mcyh*:r vmg;q ; ov)(nb9ty which of the following can be r:o qj;mnihv)vm(;u1e9 ;s c*r go yb*feduced?

  A student measures a distance four times. The readings are 37d3l c-vhdw ;jsj7u/)jm x 9,ru.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of m;, dsj/v 7du cjrjlhxu)3-9wthis measurement?

  A student measures two lengths asi pk(oz )oyy66 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( y,t 7fznek;o 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 wvy:sp av.64rq 83 8ofbz4cxl that P .pv:ql x34 a4s 886cywbvor fzshould vary linearly with Q.

  The length of a pencii+y- 99xs wudfgc1pt: l is measured using part of a measuring tape as shown below:gif1pc 9ut-+x w 9syd.

What is the length of the pencil?

  The masses and weights of differqh6scdl -9u wf.x:p1r ent objects are independently measured. The graph is a plot of weight versus mass tha.rwc96dhpu - ql sxf1:t 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 the diag 1rvpg;5ayz+l x5,9 :hgulsf jv-lkw0ram shows the measured values with theiwz0pv+ v5f-19k;yhugs ll ag l5:,xrjr 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 uncertainty of nbxx/bc:).gji4p djq 2 q 2oa33%. The radius of the sphere is 2.5 ± 0.4 cm. What is the percentage oda np2 gq4 xxji.c:2jq/)3bb uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown tha93oyn*xuf/ w t(bazhdyi.0 - qin vi5/t:
$$
P=\frac{g h^2}{u^3}
$$
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 aeg;hgr8r 9++s+s9 ay9; b xutmxf eg0qh5 rog2cceleration due to gravity produces the following resust 9 ue5r8ge+g90 o gh mxab;+9f +hrsgx2rq;ylts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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,s qj*0 ;4q:krziv 8swa 7,vjko such that each measurement has an uncertainty of :j4o *ijskk sv0q, ;rqaw v8z7$0.5 \mathrm{~cm} .$

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 maslla34e bb7 ik,s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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 a7ya/vk; o8g pstatements is corryo; 8k a7apvg/ect?

  A student measures a length five times. 2qcund,mj8 )qe o4-bvAll 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 shavhd hq t) 56s+aph*f n.q38from a longer piece that is 12.6 ± 0.6 cm longshh h.v*hq+dta68p3s ) n 5faq. 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 $\pm 5 \%$. 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 ± 0.6 N is applied to a mass guhv 7jt6i/0fof 2.0 ± 0.14 kg, causing it to acc 0hjvtug67i/f elerate. What 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 ± 2. k4c9rfw rij) -mln5m32 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) %