Which of the following could be a unit of ov, e,wp:ehv. power?

  By approximately how many powers of ten is the height of a huma)dubkccvh 88;ut)g c2dv2 3yxn larger than the height of a g2cccu 3vthk )gd;)v 8yuxb 2d8rain of sand?

  What is the value of 7unfjq4i 0at .25xldj$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI sys,rnnb2, 85bpxjbp cg( f 13fsytem?

  The volume of the Earth is approximately +, 0tsz,osblj gfhzx+ gw89 bp/x;n8p $10^{12} \mathrm{~km}^3$ 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 heartbeatcrcsaua 82i qbr718a 4ys19sls of an average adult hs aq28c 7 1assi9uy814blrarcuman in a day.

  Which of the following contains one fundpn f v1xa,z0n/amental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answ vo-v0( tx2m9 lza(sswf 4w.arer with the most decimal place(mwa xzs04- t.savrwf92l o(vs?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the ord- 2rvv2dx n-j,( dxdds luad)9er of magnitude of the ratio between the mass of the car d-(a-l2 d2d)n vsdu9xdxvjr, to that of the mouse?

  A train travels $85.3 \pm 0.4$ meters in $11.915 \pm 0.04$ 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 shape of a cube with h+l w*q4q;yeke4 mf17baufv ,sides of $2.04 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 siz30trxp(e)l70 xfc k:pywoi2de $x$ 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 $7.4 \%$ 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 is graduay+yz; .lk vds1ted in millime y ;ydk.ls1vz+tres, 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 $6.6 \% $ 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 b xsap 3a(sa/((okcuc:e $20.0 \pm 1.3 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $4.4 \%$, 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 estim9dk* is) 3qkxev*qqx z0ixw4w;)1i avated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differew nq1iefq-/ y,nce ($V$) across a resistor is measured with a digital voltmeter to be $0.28 \; V$ . 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 su(tfr / w8k4syame quantity which of the following can be reducedfyrt4/skw8 (u ?

  A student measures a distance four times. The re(pr u 1.vj;pr+7groupadings are 37.8 cm, 37.9 cm, 38.1 .grpup+1vou ( jp r7r;cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as:9g 50m egbg/lipver+k+.hzh 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 measured to be :c 8:l/z3jqc :,ec/hlgn zopg$(5.1 \pm 0.1)s$ 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 p7xeocifr1 o3 7lotted. Theory states that P should vary linearly3coef r7x17 io with Q.

  The length of a pencil is measured using part of a measurelcg6 r5wl/d3yu3 p* pws-wk ,ing tape as shown below36,rgpe3swy/w-dw5l*p k ulc .

What is the length of the pencil?

  The masses and weights of different o4h:fqbbriy v: 54n11mw) hgl ibjects are independently measured. The graph is a plot of weightm: wib11 vy 4 li)4qh5bf:rhgn versus 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 are measured, and the diagram sm6ekb2spxq l0h ,)3wr hows the measured values whks,q)mpr60x32el bwith 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 percentage uncertaintyyv p))d.u he2zr,odf g,:h a4g of 7%. The radea,fyzgvh. gpod: hr u 2,)d4)ius of the sphere is 1.0 ± 0.4 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 has sh.1bv +eyaw1(u gj(fabown 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 produ.wd+ nhoij m72cr/a 02uvpy6l5i7fj) vw3d qxces the following r/f.nm yo027jd 7i2 wc)pva5ru hqdvi3l6x jw+esults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 hb*j.4zlmy sa8pb* : zmas an uncertainty saz:p8*blb mzj* 4 ym.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 mass7+;)yu 1dvrthn hm4xul q8rb3 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.3 \%$ 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-negluta( )8 paewl4igible zero offset error. Which of the following statements isa4ua le8)wt(p correct?

  A student measures a length five times. All of the measuremn0b 3p)3lzvq *gso;e kents 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 ± 0.2 cm long is cut from ai6,kmihv; )sn longer piece that is 12.6 ± 0.2 cm long. ;mvkni ,6)h isHow 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 $\pm 4 \%$ 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 ± 1.2 N is applied to a mass of 2.0 ± 0.11 kg, causing itrggo a6-1dq1a to accelerate. What is the percentage ug-ar 6o1ag 1dqncertainty 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 ± 1.6 ,3r s qpg8nsrur3hl): 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) %