Which of the following could be a unit of pvkzwq+6ib+m s9g-r 2uower?

  By approximately how many powers of ten is the height of a human le )+)u)e3ppvb pias(barger than the height of3(bisupe )av+)e)bp p a grain of sand?

  What is the value of e n-2t) be1yveb ia283t te0qg$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SIiqg4-mkjgn,2.pvj gq+ 5 6rjx system?

  The volume of the Earth is approximct. )js (+os-tni 8ikdately $10^{12} \mathrm{~km}^3$ 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 numxkay1,siiavqki g7+v*+:r; k ber of heartbeats of an average adult human in a day.k ik i1+ksvy a:i,7v+gqar x;*

  Which of the following contains one fundamental unit and oneutgh- (zhd(0w /xo-k c derived unit?

  If A=10.0 and B=0.50,z8i /ku+ho o4x which calculation will give the answer with the most decima4izo+k/ux o8 hl places?

  A car has a mass of 1000kg. A/lhhl1; dsge (-pyr(t x,yj ,.x jur6 9zkki7a mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car txk9k lr uta(lp, x7 sg.6(y1 -,diryz e;jj/hho that of the mouse?

  A train travels $55.0 \pm 0.4$ meters in $13.208 \pm 0.07$ 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 a cube with sly ym;kj/wn.:2 w mz;hides of $2.92 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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 squafxqa(ap), nyeil,1--e e jb r0re 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 $3.6 \%$ 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 penc-zf(abl g7 cibvv(d:kl6, :ya il is measured using part of a metre rule that is graduated in millimikb:azgf( va-,:dll yvc76( betres, 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 $5.0 \% $ uncertainty in $V$ and a $2.8 \%$ 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 measu9qq-i +ildne9red to be $21.7 \pm 1.1 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $5.1 \%$, 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 4de;)kwz dgz-h(k9n(m3:n x(adff d c room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 differenxy; *e auimc87ce ($V$) across a resistor is measured with a digital voltmeter to be $0.50 \; V$ . 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 quankexz 3 pp7e2n/tity which of the following can be redu7 p ezn2ek/p3xced?

  A student measures a distance four times. The readings are 37.8 cm, r8 )9scx9e daa knu7zby1 3e5-ozao;n 37.9 cm, 38.1 cm, 38.2 cm. What is the co;9z 1ub )aak8yszr nne 9odx-a75 3ebest estimate of this measurement?

  A student measures two lengths as dgbr3q 7:h32s f lcfc1follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, ar6t kin9 t51zgne 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 qua-md/hceq 71yi.+f zvr1vhyy6 ntity Q varies is plotted. Theory states that P should vary linearly with Q 7cvr z yiq-v/fye+6ymhh.d1 1.

  The length of a pencil isep7k*r:nqe d6k8rdbbd +0ys * measured using part of a measuring tape as shown below. rbq0sd7k8e ne:b6k*p *yr+dd

What is the length of the pencil?

  The masses and weights of different objects aau9.g83qn.s p:4g*cov hms,v3qukujre independently measured. The graph is a plot of weighp gc.skoq8unsh3 q39v4,a:j *uvgm u.t 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 a;zv;nz t*cd+d5 x7*gm yh( clvre measured, and the diagram shows the me l+vzdv**(cm7 x;ntgcd5 z;hyasured 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 solid spher q n 9qu.g6f4dp chl;eomj8n 1i-q6ap2e is measured with percentage uncertainty of 4%. The radius of the sphere is 5.2 ± 0.2 cm. Wh92-a1 eqnqu646 pg omh.pc;nif8ld q jat is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data han 7ik1g4pr q4xs shown 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 produw;o4rpjem 4*g ces the followingwrm4eo *g4j;p 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 measurement 9c3k d dn ce 0dnu,kc)-u)zfu+has an uncertainty d,nczk d+n)-udec390k)uc uf 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 f)fvpplr l7j 8)2-did $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ 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-negligible zero offset error. )r 5*j.s2if nkrrzp s.Which of the following statements is cor)r2*p5nszk fr.j .sirrect?

  A student measures a length five times. All of the measuremci03q*c y4emn(du b,dents 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+ny4mj-d) b9p9qwd.cp j)ocl .6 ± 0.6 cm long. How long is the remajwcnl4q)yb-oj 9dm ppc. )d+9 ining 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 3 \%$. 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 ± 0.7 N is avvmsb-khm:5 q,idb ks 42q73mpplied to a mass of 2.0 ± 0.16 kg, causing it to accelerate. What is the percentage uncertainty of its accelerasbh5vq:k4 qb ,7m 2k-d m3smivtion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wsp;2s7z n it)kire is measured to be 10.0 ± 0.9 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) %