Which of the following coulyk+a x*iqe1v, d be a unit of power?

  By approximately how many powers of ten is the heigmdqd/ dz kuvj 0c0oq g4)cj7)x3p/(d ght of a human larger than the height of a c kjd xo7g4/(j/ dg3 vqdumc0pzd)q)0grain of sand?

  What is the value of .g+ ,it;f)h3mjn mk va*mshc4 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI systemd p;0llokg;.5ktz e)c?

  The volume of the Earth is qbuc3br,/:1uguvl+g5/v,kb3i -are t n8jv n 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 x9p .ve+nf4.ki v b3swof magnitude, the number of heartbeats of an averagvp.3vbwkx + 4s. e9fine adult human in a day.

  Which of the following contains xf*mu/ i9yif) one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give6d9ug+. gs7sjv k mrp1 the answer with the most decimal places?7svr p mju k96dgg1.s+

  A car has a mass of 1000kg. A mouse has g: wyu(ju5lh)a mass of 10g. What is the order of magnitude of the ratio between the massgwj: (uu5 hy)l of the car to that of the mouse?

  A train travels $74.0 \pm 0.5$ meters in $13.881 \pm 0.04$ 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 shape of a cube with side1w9k oxru6pj ub06s.l s of $3.03 \mathrm{~m}$. 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 square base of side -5h6w kz uf(fm$x$ 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 $7.1 \%$ 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 r e8i//v yteuu/bm:0kggxr3l7uz. nl: ;udj, measured using part of a metre rule that is graduated in millimetresze yrkng8 v3,/:0 l dbul:xuti/ug./rmju7e;, 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 $4.5 \% $ 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 is measured to b5 ci5r,um-pil e $20.9 \pm 0.9 \; cm$. 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 $6.2 \%$, 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 estimata0mu/9k:l.rdv qqe6i,nbe cfo *4qx3ed as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 differe+sg f8w2a-ra ya1:rc4ogiu8wnce ($V$) across a resistor is measured with a digital voltmeter to be $0.66 \; V$ . 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 whwas / )cz2+ , 9ib9iyxad+i 3uvyixsq1ich of the following can bisd 1c+aswxbizy,9+3y29/ix a iuq v)e reduced?

  A student measures a distance four times. The readings are 3753+bue:diut .koo6 p o.8 cm, 37.9 cm, 38.1pdo+ ooiueub53tk .:6 cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as foll34;-g0ym8r qykryb0 tu18tgx z,vmugows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, aryc4t3cz scry:ysm ; .8e 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 varr9w/llm1 *4guxiac h-ies is plotted. Theory states that P should vary lwgur-h * i1la/x 4lcm9inearly with Q.

  The length of a pencil is measured using p om+2 .sk1iyfiart of a measuring tape as shown below.1yokis+ 2ifm.

What is the length of the pencil?

  The masses and weights of different objects are independently mea wjkc5gyh u((k ac+w1;sured. The graph is a plot of weight versus m;jh5(kc1 gwcy(k+u w aass 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 plateae4o 9pqzk ) ;)s,yanr are measured, and the diagram shows the measured values with their uncertaint;),p ezsq)4kr oan 9ayies.

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 3%b 7*9f b6 p/ezjmwlt- yfn-4m;hv w(rl. The radius of the spf e y4/ f(wlv tp jrnz*6-mb-lmwb9;7hhere is 3.1 ± 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 shown t.ta s4b:dg.mr uyyt3lyz u3s*q -uu /;hat:
$$
P=\frac{g h^2}{u^3}
$$
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 to gravity produces the folloo)mpqv8;8cf/jmsj/ ex 7 myp/wing v)/ms /;epj m88qfoym /xj7 pcresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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,+fogi ece /q;70y5udg such that each measurement has an uncertainty e+ dy0c e;g7fi5oqgu/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 w)g z46yhte3u $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.6 \%$ 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-negligibl8 uw()s,v unvhe zero offset error. Which of the following statements is corre vuuv),n(ws8hct?

  A student measures a length five t.kj8zc so944koc s.tsimes. 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 ivzz(ohn*v:fh9pj(f / gt ::s rs cut from a longer piece that is 12.6 ± 0.7 cm long. How long is the remaining piece of sttvv:gs (:* fozf(9 hjhrn/p :zring?

  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 $\pm 4 \%$ 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 ± 1.0 N ie zh2 g;d/dm+5bn uj2ss applied to a mass of 2.0 ± 0.18 kg, causing it to accelerate. What is the percentuesh2zg+ d5m j/;nd b2age 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 :.xhr:b(i *bhh vcvk710.0 ± 2.4 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) %