Which of the followid9jv d*6m+ 5c/nel-:x cen yogng could be a unit of power?

  By approximately how many powers j9eg2ur u. nz*of ten is the height of a human larger than the hegj z 9rnue*u2.ight of a grain of sand?

  What is the value of d/ xfz3s.o5ph)c*zwa$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamet :mg-- /pkqnxntal unit in the SI system?

  The volume of the Earth is approximaesiig8twa r/1,k n+g3 +eh 1hdtely $10^{12} \mathrm{~km}^3$ 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 heartbeats of 8xrje;,s m8iian average adultirjs8x;8 iem, human in a day.

  Which of the following contains one fundamental unit and one derived s8z r e3uxw)2me*f6 d8 mpmpx0 dlkl(*unit?

  If A=10.0 and B=0.50, which calc0iut yg nb/i90ulation will give the answer with the most decimal0gy i90nt u/ib places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What iuz317 6rwhyzn s the order of magnitude of uh37 ryzz61nw the ratio between the mass of the car to that of the mouse?

  A train travels $57.8 \pm 0.6$ meters in $15.028 \pm 0.09$ 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,q7ysqt 08yfo cube with sides of $4.54 \mathrm{~m}$. 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 * a.vk;bepew4h9wsx r(y;-+ib ne r7ubase 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 $5.0 \%$ 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 meas8jep074k qcudpcl-pc i56p( nured using part of a metre rule that is graduated in millim jpdn plcu5cc8qk(e-4i0p6 7petres, 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 $3.3 \%$ 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 measu66otjqdt 9m2m u0dta(h ky81df9cp a/red to be $10.7 \pm 1.8 \; cm$. 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 $5.8 \%$, 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 estimatp5gkq4o ch,j/ti -jal 2)mduy 18a z+ked 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 differencewr 6, /vs/bmpq ($V$) across a resistor is measured with a digital voltmeter to be $0.20 \; V$ . 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 the following cq.s;dm7aq ij 2an be reducq;mj.qdis7 2aed?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 c8gks, k ,vd(rfm, 38.1 cm, 38.2 cm. What is the best estimate of this measurement?g 8r (vkf,ksd,

  A student measures two lengths avfoawkx-e9h,vmn3e0*p 8 j :as 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, bygvue6h(5,/)dx wvw are 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 quant + rb/bb .vgnm+3s3idzity Q varies is plotted. Theory states that P should vzg+.3/m+r bbdi b3vnsary linearly with Q.

  The length of a pencil is measured using part n(hs rfn1idz .-p)i5h of a measuring tape as shown below1 nr5dsi-)pzfh i .(hn.

What is the length of the pencil?

  The masses and weighpew9 l(jn (mm k(uw;h/ts of different objects are independently measured. The graph is a plot of weight versus mass that inhww; 9 m((m/l(npeujk cludes 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 recta 6i rskf 9r-njz*4tn-gngular plate are measured, and the diagram shows the measured values with their uncertaintt giz*fnn4j - 6rs-9rkies.

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 2eq14bzcvco7mcvoz: 4x eo+* klb4-5 mnw g( 4j%. The radius of the sphere is 3.3 ± 0.2 cm. What is the percentage unc jme4o4oc vo e1*xz4m7 bkz wqb:n5 4g+vlcc(-ertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has scid. 8mfv*jf;yy(e yhf;); wfhown 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 aw5ax2chl1bzt rv :6 )mcceleration due to gravity produces the following re1lxz26)bt5 cah:rwm v sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ru+ m3 6sy3,vk6g q mrvtskq08xiler, such that each measurement has an uncertaint6 ksq3+gs0k tyr3m68vi,xqm v y 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 massmcp,+f0.y zm (zgj)dp $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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 zeroxepn:n 7e s/a6 offset error. Which of the following statementse7 esa:6np n/x is correct?

  A student measures a length five times. All of the meahyw0g5u k .wxya3 b7(vsurements 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 ± 0.4 cm lo,mne+bszlj zg4l 3x/8ng is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is the remaining piece of st/jn+lls ,ez 8mzb3 x4gring?

  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 ± 0.6 N is applied to r lx,.i1ftt*qq/ kfj* 66mdola mass of 2.0 ± 0.03 kg, causing it to accelerate. What is the percentage uncertainty of its acceleration? t*. q*q6t16,xkdf /foiljrml  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ±g5a(w)0zj2vvk h-w 6 vxih 1du 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) %