Which of the following could ) rkzqth-na37c-:d2 fdfvg q0be a unit of power?

  By approximately how many powers of ten is the height of a human larger than thelek ;(cos17 zb9; ifk)p 3snjs heige 1sk;(;i )sof sc7lzkb9j3n pht of a grain of sand?

  What is the value ofbpehvuhzr2: s4n kt8+( kr) 6n $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit pp*bz0axcg e p6u4f hr478 wj9in the SI system?

  The volume of the Earth is approximat quftm qqbaq 1q ,4zj(wl44;/eely $10^{12} \mathrm{~km}^3$ 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 or80 wf8rtiy /vuder of magnitude, the number of heartbeats of an average adult humanyi0wrt8/ vu8f in a day.

  Which of the following contains one fundamental unit anonwg ehk 9.l j653nce/d one derived unit?

  If A=10.0 and B=0.50, which calcu6 6-li+;zxv-id d+psq mvw vwx8r9 l+olation will give the answer with the most decimal placeplx9sz 6++v lw-m6 q ;-d8dvvixri+ows?

  A car has a mass of 1000kg. A sv;:dntqy9y2-uyc2c84 bk jn mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to th2sk8vcqy:y u49bnt-d2j; y ncat of the mouse?

  A train travels $69.3 \pm 0.7$ meters in $10.350 \pm 0.03$ 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 9xi o-zdo3)jx sides of $2.49 \mathrm{~m}$. Each side is measured with an uncertainty of $0.1 \%$. 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 baseu27q6y ; 6ze utwyx9yg 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 $8.1 \%$ 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 measured using part of a metre ru ild*u;4bcapa. b.+ qole that is graduated in millimetresb*adoq.aib;. c4 lp+ u, 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 $4.3 \% $ uncertainty in $V$ and a $2.1 \%$ 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 ie6 nnd ;3eyu+vcd*kwo;+fb j3s measured to be $28.2 \pm 1.0 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $4.0 \%$, 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 estimatqe7d u cvxu5+:ed as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differ j/gn,w a02xsnvc52gtndh,l ( ence ($V$) across a resistor is measured with a digital voltmeter to be $0.59 \; V$ . 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 of th*+f4bwi)lpqza (f7 qe e u4 9h3ef;lrqe following can be reducr z p*lff 37whea;buleq 4q qi+)e(4f9ed?

  A student measures a distance four times. The readings are 378*p atb-yu9zt:wu/ig .8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best ew/pzt*8 uub:-a9i ygtstimate of this measurement?

  A student measures two lengths asl,mez fjka8 ;+f rxeh/ eo(f03 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 measured to be:pvw0kqc 1) 4jfl pfcfww.f89 $(5.1 \pm 0.1)s$ 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 varirn -.uf1y8 v3qnyoq5ies is plotted. Theory states that P should vary liney-5o.q 8qurv3fin ny1arly with Q.

  The length of a pencil is measured using part of a measuring k 0d(mhkq 1sg2tape as shown below.q1km(20 kgd hs

What is the length of the pencil?

  The masses and weights of different objects agdnuw (:m4ip;n duk )leg* 5r9re independently measured. The grap (i*)emlkng5rw;4d gu:udn9 ph is a plot of weight 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 measurvc6k u qr/edjeqlj:g7j+1r2,1o zu*ded, and the diagram shows the measured values wirjlu de:kq1croq gjz/v6*7j2, e+ du1th 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 measo6 q)bcs4 j31h:xl(p0ik np4lo ma1utured with percentage uncertainty of 7%. The radio1u)3al1 q0b4snxl(cmhj: tk 6i o pp4us of the sphere is 4.4 ± 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 that i6+g.qlc1 hb h8jw.dt:
$$
P=\frac{g h^2}{u^3}
$$
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 prodgy2u sl)rmsmo6bwk5br 5+0, vuces the followingr2sukm l ,b5yogb)05swv+6 m r 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 ruler, such that each measuremexd*3+ *ad)imqz1ukz4n pl3hrnt has an uncertainty1dkh*nxdqz+p zi)r* 34lu3am 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 g ;ui24mp2tt e$(2.0 \pm 0.1) \mathrm{kg}$, 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 3g(kom. bw2ul.8qq gy( f0cxx offset error. Which of the following stateme(.0luqx2 womxq3k fyb (.8 gcgnts is correct?

  A student measures a length five times. All of the measurh:c)y or58xx,;vh fj 6w/ qhtpements 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 is cut from a longer piece that is 12.6 ±mym*a: a,1hin g f.jv :+r-edj 0.3 cm long. How long is the r.m 1+jn jeig*day:,-fh ma:r vemaining 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 $\pm 6 \%$. 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 ± a5c9+ af3.vrhn h4 byx0.23 kg, causing it to accelerate. What is the percenta4r3c 5 av9hn+ fb.yaxhge uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circz m 6*w )2.gszeculxy1le of wire is measured to be 10.0 ± 1.5 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) %