Which of the following could be a unit of powerf d zoa*na9(u3oey8ab,( p/my?

  By approximately how many powers of ten is 90hjzv qv+l0 wez 63rdthe height of a human larger than the height of a grain of sand?we6zz 3qr l9v0jdv0h+

  What is the value of pmerx2 0*1gyo $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundame7lcgjejmpw+gvk0g+ ,9 yb y9 ;ntal unit in the SI system?

  The volume of the Earth is approximately;p63ms6 evtyd $10^{12} \mathrm{~km}^3$ 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 aveb;tqxc9s; v ts;0xiqzjr3/)v rage adult human in a dayrt q0 /jxcs3;vxs b;t z)i;qv9.

  Which of the following contains one fundamental unit and3)c13lz-hiw hdf 4v4og o/u)l d+8gmotu t-hd one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with d,hxf+ks/y6 x the most decimal plac yx/6fx,sk+d hes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What xx /qaiwwlnd /cm vl43dka.g-. -: ay.is the order of magnitude of the r4w/.alm/g-: i la.dna -cdxy.q x3wvkatio between the mass of the car to that of the mouse?

  A train travels $96.7 \pm 0.7$ meters in $5.702 \pm 0.07$ 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 , 0e)yfnzk72mxcie q6 a cube with sides of $5.26 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 squaa3bbzz70*+bv r i4ezvre 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 $5.1 \%$ 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 gradu tomryd(ag/ 80q4,xk 9wfei0qg j9+(o f dffm5ated in millimeyk(49/xgjo0m 9ewqofit fm8f(0,da rq df5g+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 $5.6 \% $ 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 measuredaqmbm(1d j c*7 to be $17.5 \pm 1.7 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $3.8 \%$, 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 cc /y: 1jr-ibqulq;,vroom 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 differenq u.9 h;51onrinx9fh1i(ms he ce ($V$) across a resistor is measured with a digital voltmeter to be $0.10 \; V$ . 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 ujgf7( -nzd3v(q nmk;qkf 1)cquantity which of the following can be reduce qdqf7 ncu(kn3-mvz1) jgk; f(d?

  A student measures a distan*7s mwzbyw2p ; ux.x3ice four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What xpsxzwby. 2w7u3;i*mis the best estimate of this measurement?

  A student measures two lengths as folloq8 u. j*i/) 8dyabmr rf-8rfidws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and bi(dz xk32/jty2 ckc1g , 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 ( qfy;e1yfha eizmre9 h83+d) quantity Q varies is plotted. Theory states that P f3eeeyzr1aidhm; yq)(f8+h 9 should vary linearly with Q.

  The length of a pencil is measured using part of3zgbx8q h 9fz96my5wt a measuring tape as shown below.59 zwh x9mtqy83zg6 bf

What is the length of the pencil?

  The masses and weights of different objects are independently measurctk6oss(jn 8*ed. The graph is a plot of weight versus mass that includes err(o 6j8 ksstnc*or 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 di1po,y69 f7 l3jhvo modagram shows the measured values witho 3p 7,1m6jhldov9o yf 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 w cl.u,uh n4ig*ith percentage uncertainty of 1%. The radius of the sphere is 5.4 ± 0.3 cm. What is the percentage uncertainty in the mass of the sphere *ng c.luuh,i4?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has showne33h9bknszgubs9;t p .j ()bj 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 te9 1uoce gp3v9o measure the acceleration due to gravity produces the following results:pc o g99eeuv13
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 -ugfh: +fhdmjqc i2g m/3s9 e-db9xy b:p-vd 2measurement has an uncertain v-es h3 fimq9-2jdd x9:/g+-hbm yfdbg2uc :pty 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 massza 65zxt)a5yj09v yi;lvai-z ,,lujk $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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-ne4tz u xzn44ih3gligible zero offset error. Which of the following statements is corrht 3z4xn44z iuect?

  A student measures a length five times. All of the measurements voi9**y xetv 80r5 5siiw 7pui-c,vd hl*s8 melie 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 u f).g(xm0a rufrom a longer piece that is 12.6 ± 0.4 cm long )m gafux(.r0u. 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 $\pm 3 \%$ 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 ± 0.8 N is applied to a mass of 2.0 ± 0.03 kg, ca b z26mez2-/u)h z7jekz:ul jnusing it to accelerate. What is the percentage unce)hz2 klz 2:-bzezn6uj 7ue/mjrtainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is mea+kb.v8 jhgtlo41p: bysured to be 10.0 ± 1.8 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) %