Which of the followi6pwf p/ad+sy/1tru4ol1l og4 +hoz5n ng could be a unit of power?

  By approximately how many powers of ten y+ hmmwp75jl:: kfv e, idabg5 iebg1d 0q-f13is the height of a human larger than the heq+k5ad b5gwg1j7 :v h,epii3 l0m1 md -ff:ybeight of a grain of sand?

  What is the value ofhs 2k7ymm-fs. .v/n kz $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundame8qds.m u38u wzntal unit in the SI system?

  The volume of the Earth is approximaxhu1jq)s hq(l 01fxm4tely $10^{12} \mathrm{~km}^3$ 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 ordsi +n6u7o+0nhs zbpf2 er of magnitude, the number of heartbeats of an aver b+0+ nposufn67z sh2iage adult human in a day.

  Which of the following contains one fundamental unit jzb-w.e x2m miy(,3uw+ r ph)cand one derived unit?

  If A=10.0 and B=0.50tv :a8 ed/wl8wtiw( s/us20ys, which calculation will give the answer with the most decim a t u: ew2yl0wssv8i8w/(st/dal places?

  A car has a mass of 98 3i4b9gl*sp,w q j fjuz:fse1000kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between twgjfqpl9i4jbz s*8u s:, f3e9he mass of the car to that of the mouse?

  A train travels $78.9 \pm 0.8$ meters in $8.802 \pm 0.07$ 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 of a cub8 v/ph1us dz/w6:j1nhqudg xua s ;h.7e with sides of $3.26 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 sits5(/d gfdjr9 n70b sy3y1lsode $x$ 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 $7.0 \%$ 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 gr7, ,q2) nxbgf0 rknnzqa (b4 apx.q3giaduated in millimetres, asq0q .4 k2nix3b7,(ab n)f nggaqrpx z, 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 $3.3 \%$ 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 measured ecb7z iy(n0sfblq e1** 6h0gmto be $21.8 \pm 1.3 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $3.4 \%$, 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 roomw5y cbe -t3+bt are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 differengoz 4hi g8l7r+ce ($V$) across a resistor is measured with a digital voltmeter to be $0.75 \; V$ . 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 oklx80*xn;m nr 12sl nolw/ 2rnf the following can be knx*nl8 ln0osr/ xr w12;m2nl reduced?

  A student measures a distance four times. The readind m wtlf8 b2-*m6oo7zxf*z f/fgs are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this mea78fzbxf md*o-/o*wl6 2ztfmfsurement?

  A student measures twddq08-5wvzsb5x5 z dfo 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,ayez35 -l,m oo 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 quax u9pw-p* 1pk+s*bus bntity Q varies is plotted. Theory states that P should vary li-9sp+ bu xps1uk*w*pbnearly with Q.

  The length of a pencil is measured using part of a mvyn)6lrvs r1 pyf*gqew g; h2u3* p4*zeasuring tape as shown below.3 nl *y6pepf1r;g qy**)g4wushrz2 vv

What is the length of the pencil?

  The masses and weights of different objects are independently mearqmb18 5fpi0 t bu k,+.zpwyl( c1e4zlfijg//sured. The graph is a plot of wefpe1yt/iwlbl .ig 5(u4b8+qp rkf,0 /c1jz zmight 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 diag:nnt dkjs4td), 7pc im(t r61oram shows the measured values with the4 t)r dj spn t(c6,71otk:dnmiir 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 with93tltgtpc v45d vc u./r 0+tkg percentage uncertainty of 2%. The radius of the sphere is 2.1 ± 0.3 cm. What is the percck gv5 ct0 9trtp.vgld4t/ u+3entage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has show7h wvfa2q- *(hjnsxg 4ej)09rsh8 c:4zk vaopn 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 12g / qpf:fly0bnzhm ;to gravity produces the following resynbh;12g/ pmz lf0f:qults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ecvug ds8 4fve3;sg)jn7wao;9 ach measurement has an uncertainty of 8f ogs9v7c43); awvusje;gdn$0.5 \mathrm{~cm} .$

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 uc6evk7qn i;li 0*svz4 tfp:;$(2.0 \pm 0.1) \mathrm{kg}$, 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 of9cekrm d; g5(7w wqus8k )db-pfset error. Which of the following statements is corre5-s8w p7e ;9ud(gc mr kdqbw)kct?

  A student measures a length five times. All of the measurements lie be kw xp7er3xa2o5w)9zr tween $18.8 \mathrm{~cm}$ 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 i1 6 rtwm5xik3ns 12.6 ± 0.4 cm long. How long is the remaining piece of 6nm1rtk3 xi5 wstring?

  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 ± 0.4 Nn o54v+0d i1v x(pesgy is applied to a mass of 2.0 ± 0.15 kg, causing it to accelerate. What is the percentage uncertainty of 1n+sd(5yo gx4ie0vv p its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire ii7xu/4v goe5 oq(dks, s measured to be 10.0 ± 0.3 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) %