Which of the followinggypo9e2 qu9m5 could be a unit of power?

  By approximately how many fo wqdha 23hr dl5)(o-powers of ten is the height of a human larger than the height of a grain owda fh3(roo) -qhd52lf sand?

  What is the value oflpmba64q/ r r6sa)m22chukfz)-dk1 v $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fuj3o7 b 9xzm(,9p -i 8wvybj,nsi l;hkindamental unit in the SI system?

  The volume of the Earth is approximat,a+h km os )c,:gy7fjzely $10^{12} \mathrm{~km}^3$ 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 magnituvfuzv9/ hcyu25w6w r s 6w/rn7de, the number of heartbeats of an average adult h7/9r / f hwczwun2vu56yv6 wsruman in a day.

  Which of the following contains one fundamental unit and one derij)j/ *av51 rt,rupp wd5xhq i0ved unit?

  If A=10.0 and B=0.50, which calculation will9nt lmnn1y o2981uc7djn iv 3m give the answer with the most decimal pla2ny8nn 7 mnc9 divt3u9 mj11olces?

  A car has a mass of 1000kg. Af ,un ;vsaver7za*2*;nzri,;rbm 6e s mouse has a mass of 10g. What is the order of magnitude of the ratio betwee v;;zs6br7a*zn *, 2sai e;,rmevurfnn the mass of the car to that of the mouse?

  A train travels $96.6 \pm 0.6$ meters in $13.952 \pm 0.05$ 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 side;ro*f c ),fgvcs of $3.98 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 o6 m. h omn,.oo v8evoeap+c1x)f 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 $5.8 \%$ and $h$ is measured to $1 \%$, 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 graduatede fa 6n+l 54vf+s4vslwfj;3fk in millimetn;5jlk ff+af v e4s f6+w3sl4vres, 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 $4.2 \% $ uncertainty in $V$ and a $2.3 \%$ 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 hjd q* apuoxz4ud8;( .:rys+b measured to be $20.6 \pm 1.3 \; cm$. 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 $1.0 \%$ 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 room are estimated atr25anr ns/n *69o ymas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 differ6ih 7l.tml) vpruk6+y.n hs9mence ($V$) across a resistor is measured with a digital voltmeter to be $0.32 \; V$ . 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 ofpy.0 hqp8l1ga the same quantity which of the following can beaghy0 pp 1.8lq reduced?

  A student measures a distance f)qhfiaxtr) d cik)+4) our times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the c kdai)+ i xfqhtr4)))best estimate of this measurement?

  A student measures two sd+1hiwqot).j+ 0 fkf 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 even)6 h-p:bhwvoa;mc;w* b kkt k.7qx6vkts, a 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 quantity Q varies is plotted. Theory stat4 e8,f( i zsjxw6(lclues that P should vary linearsf( 86zi 4(uw, xeclljly with Q.

  The length of a pencil is measurbivl077otw l0,zz+ rt ed using part of a measuring tape as shown below.0zztiwl0 7o7vt r+b,l

What is the length of the pencil?

  The masses and weights of different objects are independentlyz r:a a-60rnye -v/qq0/d pm4ob6bfbx measured. The graph is a plot of wei4da r/ma--qrzx f0bb: e66yo0p vn/bqght 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 diagramwx9 6 7mifw8yt,+aov a27h9v0rooz t7 el.q zs shows the z879.0 i woay 9ovlhwoq6+7satrtf 7zemx2, vmeasured 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 percentage uncertainty of 7%. Tph0qq /gft/s dp:)ftf3co9gyn 82 :de) y *ntwhe radius of the sphere is 1.7 ± 0.qdo )fh /8gtn t9* dfef:p/y qwpgs3t02nc:y)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 showhvgpnrlq6/ 6)o2 q (4iuyx*mf n 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 meaw pep+;fykn124toxyb0v ) + /9hbs edesure the acceleration due to gravity produces the followingyh4ep kyn9o )p+v;dse/t1 wxfb+b02e results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ruleci +vefegs 0c 9yqa3s22*o7gtr, such that each measurement has an uncertain9*ysievaqc3og 2ct efg27 s+0ty 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 mass jg w 3:yh4bozpuk25dwtgc) 3+$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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 2 n :l 63:8:htyukjsf-lrcpsx following statements is corrects2 :l-:h8 f3jku rstc 6n:plyx?

  A student measures afy5 )i(5sh;o :l pz)fmuozrw6 length 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 ± 0.3 cm long isjvg) ,;s urvi, cut from a longer piece that is 12.6 ± 0.6 cm long. How long is the remaining piece of string,gv ;u ir,jvs)?

  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 $\pm 4 \%$. 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 ± 1.3 N is applied to a mass of 2.0 ± 0.22 kg, causing it to acemm(yj*e -r k7bfv8d )celerate. What is the percentag byee 8mv*mk j-r(7f)de 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 1l 3xmp. jl/ *rwk;jz1t0.0 ± 1.0 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) %