Which of the following could be a unit of avdxaie dm( *2+ 9ecqwr.26pq power?

  By approximately how many powers of t-s fdyz 2z+ ob3s52p7ud/mxqlen is the height of a human larger than the height of a+ z 3-pqfmzd7soy/s2 udlb25x grain of sand?

  What is the value of 4mjyb r)e kj:/t jb1km j9,pb0$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental xl:/ak vle e;0u(*u8 m.saoe iunit in the SI system?

  The volume of the Earth is approximath z4w7130tyeujuzuq1 x b0(dhely $10^{12} \mathrm{~km}^3$ 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 u4uy/adp)j9p kj a 2dn/1ti/d an average adult huma/punidy 9p )u /412td ja/kdjan in a day.

  Which of the following contains one fundamental unit and one derj/kozrf pj, */;;mcqyived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decim7/. kpt pvd c1jmi15wwal pla 7ip.k1wmdw/t5p1 vjcces?

  A car has a mass of 1000kg. A mouse has6/xsl09 qqm 5/biucdf a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of thedqi95m//cfl q6b0 sxu mouse?

  A train travels $38.6 \pm 0.7$ meters in $8.939 \pm 0.04$ 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 jz4ve-b,p-rehp;8 j z shape of a cube with sides of $1.85 \mathrm{~m}$. Each side is measured with an uncertainty of $2.2 \%$. 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 basimg/u1i*m7.b m m(a qhe 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 $4.4 \%$ 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 is measured using part of a metre rule that is 8yio 4 jao, c jdmuqq0d09m5g-graduated in millimy9qodi4 q -0mju50j dg8,ao cmetres, 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 $3.2 \% $ uncertainty in $V$ and a $1.4 \%$ 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 measure ij8gvqex7 rh.s..i a3d to be $26.2 \pm 1.8 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $4.9 \%$, 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 d vsyq;4f,uwm rjb 22t83a9 vbestimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differen/.7rf+x d w*x0qclnwpce ($V$) across a resistor is measured with a digital voltmeter to be $0.60 \; V$ . 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 quantity which ofic nhh1ivl3c4 yu**0p the following can be reducehvi3n0 y1uh*ci 4 lcp*d?

  A student measures a distance four times. The readings are 3p g /3:i.tn:,mk3wigmii. fim7.8 cm, 37.9 cm, 38.1 ck.,imn.i: wi/g pi:f mtig3m3m, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follows: ehm03;mdx7r.cwdh. o $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to;fu+x o2v(u5gya+pu1b st o -u 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 qrcf rvrg mqyd01mg jjvdb2(7 4,e k.:/uantity Q varies is plotted. Theory states that P should vary liner(r vy .f0,rm1gv b:7ddec mqk/jj42g arly with Q.

  The length of a pencil is meas3yy+r-a kh3csw z4- hiured using part of a measuring tape as shown below.4 +hh rcz3ays -wi3-ky

What is the length of the pencil?

  The masses and weights of different objec2l4lj3cpbg 7qts are independently measured. The graph is a plot of weight versus mass that includes error lqc2 4jblp7g3bars.

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 meas9zzr sf40mawb*gb , -sured, and the diagram shows the measured values with their uncertain0as-r* bg9fb s,4zwz mties.

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 ofvf tay :ng;:u( 6%. The radiusft:nga :(y uv; of the sphere is 5.3 ± 0.1 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 shown*,2:grj 6:mlyuyjsexrzw*v ) 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 meask io; (oavgr7lt5:k 5+luv)ji8sen 0 zure the acceleration due to gravity produces the following re; o7n0ilv+sj e5k5):log i8vtua zr (ksults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 o)n23a7d7hhqv rob9zusing a ruler, such that each measurement has an uncertainty ofzdo2nqh) 9ao3 7vrhb7 $0.5 \mathrm{~cm} .$

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 gtk ;egkce 18de(k 9n/$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 foll:pm6(,ixtol ql.p.g t.pz1d a ;(ypblowing statements is corlmlygq;zpi,d p6.plb .(.o:a (t1t x prect?

  A student measures a length five times.e mo rs1 ;a/pgc3a.;km 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 ± 0.2 cm long is cut fr)ak3v u8 i7xk4uh e.yf4(r sr4t:zzwjom a longer piece that is 12.6 ± 0.2 cm long e rikw3sjr) :z4afztkhy(u4xuv 48.7. 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. 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 o:hag+0ie zvhm(l4e + c5g:tej f 2.0 ± 0.22 kg, causing it to accelerate. What is the percentage unglj chm54:++iet eg:h va(z0e certainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wiro.wd5k.hb/x f e is measured to be 10.0 ± 0.7 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) %