Which of the following could brug12v5rcw;18 zn wt le a unit of power?

  By approximately how r.aiit*4 knrbr99a*f many powers of ten is the height of a human larger than the r*nrbik9 r*a9i 4t fa.height of a grain of sand?

  What is the value of r93*+tgz8-i 5jwpvfnlk 5cpi m7qh1 k$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamen7yf -xn-qysw(ynz4 2 t)anu6gtal unit in the SI system?

  The volume of the Eartaq wrkmfj4 +,(-p2d wzx/zv)kh is 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 heartbeats of an 0w f:u:*tddgzww* m8xaverag*d*dw f gzw:x8mt u0w:e adult human in a day.

  Which of the following contains one fundamental unit and one derived /o , o- q4vet7:neoucr3kxf3s unit?

  If A=10.0 and B=0.50, which calculation will give the answer p ku/pnl t/77/9i frnr;r7i ypx61zfvwith the most decimal places?r pz t/r1yp7ilrfnkf /9n;u/ v767pxi

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of mab.;;;5lbjs0q plvj x tj bn.(wgnitude of the ratio between the mass of the car to that of th.0b b; .jj(p;xl5 tlsvb;jqnwe mouse?

  A train travels $39.0 \pm 0.7$ meters in $9.514 \pm 0.09$ 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 of 3b48 rs0vfv wq$3.86 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 squar+p1g 2 hmin-+ a *kdxj0,1f maheqi(ysr/5os ke 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 $8.3 \%$ and $h$ is measured to $6 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil xw*(1zaxf2sk is measured using part of a metre rule that is graduated in milliswza x x(f*1k2metres, 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 $3.4 \% $ uncertainty in $V$ and a $3.1 \%$ 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 3r8c pys*4 pteoqww( kj4) t4hu +il+gis measured to be $22.6 \pm 1.2 \; cm$. 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 $4.5 \%$, 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 sr;lo. q0x 3oljides of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 lzp1tq ibn h-/r.c+mqo.m1 j.ce ($V$) across a resistor is measured with a digital voltmeter to be $0.16 \; V$ . 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 which1 ji/jgp r57lr3lf r9m of the following can be9jflr15 rml/ jir3 7pg reduced?

  A student measures a dirk zm71n,pcyzpr e. ///uyf)astance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is tf pe/a,.)c /yrk nry1u/7pzzmhe best estimate of this measurement?

  A student measures tw q)b3p6b:q5s s7ism tao lengths as 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 mwzqwdiljb yn.yw b1h82 60n95 easured 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 ploo 7 diu qu,gcs/udmze;,- xw,7tted. Theory states that P ,euqw u ,;, 7xmudodiz c/g-7sshould vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shd2 ldgw0zp4y y4,) wmeown below.d w2zpe4g4m,w y)l0yd

What is the length of the pencil?

  The masses and weights of f xqcx)dvar/y(*1 s:y different objects are independently measured. The graph is a plot of weight versus mass that includes errorf )dq :sva*xxrcyy1( / 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 ay qeob/mzn)i4v6i3 0tzoid .i29o gz3 rectangular plate are measured, and the diagram shows the measured values with th3vm3io. i0/2 6i)z4ogy tn izb9zqeod eir 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 sp7,s2u a6m0v blep, chhhere is measured with percentage uncertainty of 5%. The radius of the sphere is 5.6 ±, u0cp6 hh,ms27vbeal 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 sho70nfk2okuh n up, +mk.wn 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 tfubq,+jqp ;d+o gravity produces the following bfj d,p ++q;uqresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measureme3-j,ovfnsfo .3cp e k,nt has an uncertaints3ofpe- k.3fnc o,v, jy 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 mas.)zotal e5db8 a+j* qds $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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-negligible zero offset error. Which of the follo)ssr7td)hhj kf;uu* 6m ,ky i*wing statements is correct* h)j)y,k sfh6 *muski ru;t7d?

  A student measures a length five times. Ajq2r555b ikh6ou hc+pll 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 ± 0.5 cm long is cut from a longer piece that ismb z26mckbcn br5,sz82kk;x + 12.6 ± 0.8 cm long. How zbcm 2s r,k;c b2+bnz86kxk5mlong 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 8 \%$. 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 ± 0.23 kg, causincw/l6 z :njp3ag it to accelerate. What is c6 z:pw3j/ lnathe 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 ± 0.30pfs 11a bw kja3(d26,xc5 awebr)jt t 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) %