Which of the following could be ajxt/6 +vvk4sg 9 z-yxk unit of power?

  By approximately how many powers of ten is thejrcozm1 h;1a : height of a human larger than the height of a grainh1c1zjmr;o a: of sand?

  What is the value of gi au/jlpxt.zbv3 (y4+kb,v3$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundams 6rc.gdjyt8q q .1o/xental unit in the SI system?

  The volume of the Earth is appqtmv g15(b;sakeh.k,roximately $10^{12} \mathrm{~km}^3$ 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 ord uii,6:l pzsb)er of magnitude, the number of heartbeats of an average adult human z:u lpi, b6is)in a day.

  Which of the following contains one fundamental unit andac ) 9 pza)t(avp5q;tj one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mosttq)1o5 oc 3zgbk )iuwo6)p +5ptqw* gf decimatoqqp 5t k )oc ufzpoi1w))+bwg35*6gl places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of 6b)z h2 ou*e(qi2bfcxq(d8sc magnitude of the ratio between the mass of the car to that of the mou oxq edc82f)*hu(bi cqz(b2s6se?

  A train travels $69.6 \pm 0.3$ meters in $3.556 \pm 0.05$ 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 (plr70 iqxaykdv0vd9 -8 w qw/shape of a cube with sides of $5.04 \mathrm{~m}$. Each side is measured with an uncertainty of $1.5 \%$. 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 9l fn v(w;r/upside $x$ 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 $6.9 \%$ and $h$ is measured to $3 \%$, 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 i yo.amc;- 4zfjs graduated in millimetres, as shocmz y.;a-fj4 own 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 $3.2 \% $ uncertainty in $V$ and a $3.2 \%$ 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 mea4f jig;17z ucosured to be $22.2 \pm 1.7 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $4.5 \%$, 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 estd 9fgc6m j08jl38uubjimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differegy4 p2 5q:l*/7 vnhir7kverjs)yrg7 snce ($V$) across a resistor is measured with a digital voltmeter to be $0.77 \; V$ . 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 whhn *xzz bqb.-q1al 42pich of the following can zqh-bz ba*q2l n.14p xbe reduced?

  A student measures a distance four times. The readings are 37.v01tc7msf t1 h8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estv0cht11fs m 7timate of this measurement?

  A student measures two lengths as fol i)eddvh axo04m/d0 c2lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to beysq89: fhk4th $(5.1 \pm 0.1)s$ 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 vp zsxt4dbwxy r*6g5 ks,91 4vfaries is plotted. Theory states that P should vary linearly with wz ,rf4sxbs 1tdxg4*56 9p yvkQ.

  The length of a pencil is measured using part of a measuring tape qk2e+(f ttq3yclaen+l2z+5lvg , qy2as shown below.2+vqytl n l(l2e,+5y2e +3akt q gcqzf

What is the length of the pencil?

  The masses and weights of different o5v v pl*e*pmh9;n rd2objects are independently measured. The graph is a plot of weight*5 *op hlr9v dvmnp;2e 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 sidesix 60lpqga7w .v2g+u g of a rectangular plate are measured, and the diagram shows the measured values with their unc awx62.+gl 7gqi0pugvertainties.

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 mea4xkf4yi14+z ivma 6n dsured with percentage uncertainty of 8%. The radius of the sphere is vzd64 1f4+ix amk4iny2.9 ± 0.3 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 shc) ,t z1jtdlm2p2e6dzd w.+wjown 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 to gravity produces t lo,/ ua ktf.ds7p l1spn0vy:.he following res7/sv nl.f:k apolt0y1,p d. usults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measuremc44xr m* zaf iek9185hw2 fvohent has an uncertain125oc rvh9fei fh84 ax*mw4k zty 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 qyy143s9fv nm $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ 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 zerh pih-343 j dkj1qz(vd s)lel0o offset error. Which of the following statements is3hddz p3l) v 0j-kl(hqj 4e1si correct?

  A student measures a length five times. All o70 b9*bvvyatc f 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 ± 0.1 cm longv9 , 0, nyvwmh5uqtg2e6aly)x is cut from a longer piece that is 12.6 ± 0.8 cm long. How long is the remaini yna0)vgh 6,qtl2uywx v m59e,ng 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 applied1yyqo 5wbmle5 z*cjfg07d5r7 to a mass of 2.0 ± 0.12 kg, causing it to accelerate. What is the percentage undjmy1o yf0wg l75 r b7*c55ezqcertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wir7 datc(dde.6qe is measured to be 10.0 ± 0.8 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) %