Which of the following could et.pm(w0fv u4n3koy; be a unit of power?

  By approximately how many powers of ten is the heiqk:vlv dfg3yrmo up+5:xe7l2 ;6p2 qoght of a human larger than the hei:fp2;5qk 6 ur+2 3g doxlmq :lvvpoey7ght of a grain of sand?

  What is the value of ;dak 6wc:33 2q rliugu$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SIjme arcuh q:e632k,: m system?

  The volume of the Earth is approxsd gzf 4)4mj/himately $10^{12} \mathrm{~km}^3$ 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, )4dz3n g* kcj0a yja*i;u4r) qt tx0inthe number of heartbeats of an average00*y;dqau xg3it iajj) *ct n)zrkn4 4 adult human in a day.

  Which of the following contains ontpzp 4bb+pr- oj d7i26e fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the ek7 0 dowp;79)ft.-z jnosdam answer with the most decimal plac7stm;nw-d 9)of7pke. oa zj0des?

  A car has a mass of 1000kg. A mouse has a 27 oxhk)*hf)zr( zeil-o u (icmass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the i- lxk)7c2) uh(e zoz(oir*fhmouse?

  A train travels $65.2 \pm 0.5$ meters in $9.845 \pm 0.08$ 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 sides ejc7 rb.-:+a1f ztxv hak/2lkof $2.30 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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 sim es/)rio,c s sx+w+8ade $x$ 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 $9.5 \%$ 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 using part of a metre rule that u*f;/ 5.eycjptuhx f/9k6qaiis graduated in millimetres, as shown belyf. ;*/tuq/ xp5e9ciu f a6kjhow.

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 $6.5 \% $ 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 measi-01)yybv g8rpt.mj x ured to be $14.3 \pm 1.1 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $4.6 \%$, 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 r t(:z30aygv (u t+p(mt rqvyg7oom are estimated 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/yxkcr y+e+ pdbop;ubu9/f kj8fg1.2e ($V$) across a resistor is measured with a digital voltmeter to be $0.55 \; V$ . 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 of21f3ug:tg4il(h hqa b the same quantity which of the following can be reduced?ui2g1q a(:g3f 4hhtl b

  A student measures a distance four times. oc zx )q-t3uy:The readings are 37.8 cm, 37.9 cm, 38.1 c3qzy :-t)xo cum, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follows:yi5*q 3ko5n4fwa leh: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, az,-qpl j kfu6.gx:ru- 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 quantm-lv2su 67fh jqv6zqbq n7-w+ ity Q varies is plotted. Theory states that P qj+ lu-7zv 72-hwfq66mnqb svshould vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown* tyu/ zoqoeh6wvr 3)3 below. /3uv)6ozy3w*q reto h

What is the length of the pencil?

  The masses and weights of different objects are independently measured. 8 vll8o,jcqj,s+ne uo-0i ;r-i3d ooa The graph is a plot of weight versus mass that includes error esj+ ,0jooo3- -u 8di v;,nl8a lrocqibars.

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 diagram sj/t 7 peczy(ym u6i78 cr(nyh3hows the measured values with their uncertaintie7(y3h87 (rn6yci cym tejp uz/s.

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 tmvowf s85.enq9ojx 1*4u a g6uncertainty of 2%. The radius of the sphere is 3.6 ± 0.3 cm. What is the percentajaeo*9g.n sx8w u 6fo1vtmq54ge uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shl1z30 /2 nv :awpg8v4su nkeynown 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 accelerationb 5;2w6begz+i kwow;t due to gravity produces the following rw bk;+oez2g tw;b56w iesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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.fb5d24.n7 :xfjdjglpl r4t gv vz5a 7 vs12qn a ruler, such that each measurement has an uncertainty5 2v74s:.7ga lpn1vrdxt5bqjv4ndgfz2jl f. 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 massj0m 7ue b9k9v-poxdx+ $(2.0 \pm 0.1) \mathrm{kg}$, 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 e2e:cgs rl 7i7w fgr/h8)wj-a arror. Which of the following statemenwwgj r icesah72 ag)8-7fr/ :lts is correct?

  A student measures a l0c.s njr4;k qkxgkcd4ku/v4 .ength 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 ± 0.1 cm long is cut from a av2t32f ti0+0ibb vomlonger piece that is 12.6 ± 0.2 cm long. How long is the remaim22fv 0 b+i0b3tiavtoning 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 $\pm 4 \%$ 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 ± 1.3 N is applied to a mass of 2.0 ± 0.25 kg, v59cf qy.v1 7(vgihvjcausing it to accelerate. What is the percentage uncertaintvv7g1.fjv vc95q (yihy 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 1) ; qad0,n9a nj+ydpgs0.0 ± 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) %