Which of the following could be a unit bsh . mj506f8m/fx/rraityb2of power?

  By approximately how many powers of ten is the height of a humanvgr x 4cvb ;gtdwd -ayg.*k2-tu27k 8ey3nl2g larger than the height of a grain ofnt ;lx-dubk22* c3 v-2.7d kwyggv eggra 48yt sand?

  What is the value of aem .b2mv8ky3$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in tdb7gygo om +cc,6 h9d4he SI system?

  The volume of the Earth isgbz( yda5f .f3 approximately $10^{12} \mathrm{~km}^3$ 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 heartbeats1 smcu6u 6/sqp of an average adult human in a s1 6c qu/pm6usday.

  Which of the following contains one fundamental unit and one derived unit?7 wh1 lhip -2jsz*xjv4

  If A=10.0 and B=0.50, which calculation will give the answer with the m moe)3caa.2. d6e7nul gsk,lhost decimae2l )d sc enuaaglk6.3m7, .hol places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the of/w-7y njwh+a n/*pzorder of magnitude of the ratio between the mass of the car to that of the m+yn- 7p/w /nh*fowz ajouse?

  A train travels $32.7 \pm 0.5$ meters in $13.993 \pm 0.07$ 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 of2tl7f cvqj, wb ebd1p6s8lk5pjpe7-7 a cube with sides of $2.18 \mathrm{~m}$. Each side is measured with an uncertainty of $0.8 \%$. 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 xdi.c5dc(8 wc 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 $3.3 \%$ 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 that istj0 m1 f.c0smo graduated in millimec0ms1.0t j fomtres, 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 $5.8 \% $ uncertainty in $V$ and a $1.3 \%$ 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 measu n8hn/uywbn .)red to be $26.8 \pm 1.3 \; cm$. 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 $5.1 \%$, 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 a jic 21ok7/vdy,cph;:u :ibnfre estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differbf ;f/w(hew-9zr/r1 ti hq)++hv mfbqence ($V$) across a resistor is measured with a digital voltmeter to be $0.62 \; V$ . 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*d+ .p4va eucvme quantity which of the following can be reducvc ae.+*d pv4ued?

  A student measures a distance four times. The readings are 37.8 t:2 k3zc ocd-h*zbt ed,xc,r+ cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate,dt 3xb:dc,oh *+-zcze kr2tc of this measurement?

  A student measures two lengths as follow 3fo +e;fqa:szs: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured toz+z 0-lr)cryqhk 0kq6 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 var1z.b ,ncrgwbw s(j,o0 ies is plotted. Theory states that P should vary linearly wit .n 10gwbo,zs jrc(bw,h Q.

  The length of a pencil is measured using part of a measuring tape as showcxg, g+7vqk vugs s*:4n below+4s7k*sv ,gg vguqx :c.

What is the length of the pencil?

  The masses and weights of different objects are independently measuza, d.tu8rcwu(+7gfkred. The graph is a plot of weight vers7tw r zcg(k8d,u+fau. us 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 si /s * *a41sa o8jcv11tcdkt v0fm+xcggdes of a rectangular plate are measured, and the diagram shows the vg/scmv4gt1fjc+xc k atsa0 1*d 1o*8 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 percen2sb6viy(amy p,w7 l /otlosyb; d: b1p8 x:f3itage uncertainty of 5%. The radius of the sphere is 5.8 ± 0.3 3fyxsb:6p ;2slldtbi wv(8/ooyp ,1 myb: 7a icm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown t)jtt6, she/ uchat:
$$
P=\frac{g h^2}{u^3}
$$
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 foll(kyj.eg. )wcokl:-z vowing rg.o-wjk :zyv. k(ce)lesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 t+x.e b8uijw 6jhat each measurement has an uncertainty o8e i 6.xjj+buwf $0.5 \mathrm{~cm} .$

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 rb wbj3 09g+*g:cnwdt $(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero offseza)4 o0ih 5ejzt error. Which of the following statemjoaiz4)z 50heents is correct?

  A student measures a length five times. All ofx7 1l82hl l-bqszpy8 ru+ .ykyf7gk6k 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 longer piece that i+fxzrr)3w: u 1qm0sy ns 12.6 ± 0.5 cm long. How long is the remaining piece of strq)s10y :wr3zmn+ ru xfing?

  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 $\pm 6 \%$. 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 ± 0.4 N is applied to a mass of 2.0 ± 0.10 kg, cpfkp-eiz *.q ;ausing it to accelerate. What is the percentage uncertainty of -epi z*fkqp; .its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire qikwfdxu ,ie atr)7g3o1,3 9 zis measured to be 10.0 ± 2.2 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) %