Which of the following coul0*tp+sv:cjz wq wu7 m,(ajb)pd be a unit of power?

  By approximately how many powers of ten is the height of a human larger than thed tt .o 8n.cz ww2ldo.u3wo0z3 heigh dtc.o8otwwzwl n20uz3do. 3.t of a grain of sand?

  What is the value of gte ;bo9z65bw$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syst) o:fv4avp 3mz (3y uaj+boo9hem?

  The volume of the Earth is appr8jgq)eotk.0k5ap(cp f s2o s6oximately $10^{12} \mathrm{~km}^3$ 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 heartbe )cy(lrc1*g0kmmaun/ -c)l rwats of an average adult human (n/ lcm)10*-l m)cga yrkwcru in a day.

  Which of the following contains one fundamental unit and one der riglvo+0n x,8ived unit?

  If A=10.0 and B=0.50, whi6 z8mpvm79gq1rre ( goch calculation will give the answer with the most decimvem17prrozg 6(98 gq mal places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is toizshr+0 n.or84hs:qhe order of magnitude of the ratio between the mass zi hs q.:+48s rohron0of the car to that of the mouse?

  A train travels $94.2 \pm 0.6$ meters in $13.924 \pm 0.03$ 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 shexbdmi37g9;u ape of a cube with sides of $1.81 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 squa2-23n. e uytxyalz gsh+nv 3l-re 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 $7.3 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is mehn0a(ntnrr 28 asured using part of a metre rule that is graduated in millimetres, as show(r2a t n8nrnh0n 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 $4.9 \% $ uncertainty in $V$ and a $2.5 \%$ 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 3e6td3 r,vccn is measured to be $27.9 \pm 1.3 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $5.5 \%$, 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 estimated ash8r6 jvq3 lm7ot+ ipvzqkc20/y8 v5o b $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differek1yl e+zu 7radl0qt(3nce ($V$) across a resistor is measured with a digital voltmeter to be $0.46 \; V$ . 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 measure)1lt1m9as l gpments of the same quantity which of the following can be reduc1a)9g1tsm pll ed?

  A student measures a distance four times. The readin-fys+b+vb rs-2k t)vrgs are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best es-b vb+skst) vrf-+2 rytimate of this measurement?

  A student measures two lengths asy lu0.r6brws9 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, a6xv3t*o o r4dore 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 quantityh+7/q)ask / kwcvf:k d P as quantity Q varies is plotted. Theory states that Pkfkk/ +c/) 7daqw:hvs should vary linearly with Q.

  The length of a pencil is measured using part of h( ofqrst/qe0+1 9 ryya measuring tape as shown below o+fh(q 09ry/qyr te1s.

What is the length of the pencil?

  The masses and weights of different objects are independeno(69t dy0cvutpkl; ;c tly measured. The graph is a plot of weight versus mass that includes ;ycldt ;6up o(tvk0c9error 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 me5a up( r6ng6 3nq36qzqw 2cdmjasured, and the diagram shows the measur32mwuqndgc3n r6 56j qazpq6( ed values with 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 solidt+top*v uln8;a02,t vs k0vvc sphere is measured with percentage uncertainty of 4%. The radius of the sphere is 4.2 ± 0.4 cm. 0t vc *nt+ktp;v08lu2a,v vsoWhat 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:cxsb 5x7(g4 /hx65ioh+ul pf 8gykrm6
$$
P=\frac{g h^2}{u^3}
$$
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 proyaw(hd ra zkn*hujo2-0ea4u;5y/ hl +duces the following results:(heoku/y*+ rh-lnh uwd 2jaay5;z0a4
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurem0.xmb(6fc x8: yo+bgnz yjgs5 8icm3fent has an uncertainty o0 cs .5+i88j b: m(fxbfgyozgn36xcmyf $0.5 \mathrm{~cm} .$

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 massl 0v9-e: geqcy $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.7 \%$ 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-negligib 9u/w ayfs:0kcle zero offset error. Which of the following statementcs9: 0 /yawfkus is correct?

  A student measures a leng ;1u2pcuf.lw7 qpbg(qkhzvvx da 3168 ;o *mazth five times. 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 is cut from a longer piece that is tj*.ixc46, orzw21 r tdeah(k12.6 ± 0.4 cm long. How long is the remaining piei z6t21x cet4(dj*k. rrha w,oce 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 $\pm 4 \%$. 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 ± 0.6 N is applied to a mass of 2.0 ± 0.1t2,s43 ypc usi*5sbb1pk dqgjvh+7* l 3 kg, causing it to accelerate. W3 clps+j2v5k4g b t*1b dqsshp,y7i*u hat is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is od)5p /tq )+*d+ smz. jnpq0xfp z:kmwmeasured to be 10.0 ± 2.3 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) %