Which of the following could bevov)6bh9 :gtu a unit of power?

  By approximately how many powers of ten is the heighinrh42v ib+y b h0(0cat of a human larger than the height of a gr 4hv (+0r02incaib bhyain of sand?

  What is the value of nxxd(nd., xo8 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in7;1s oe*veexl the SI system?

  The volume of the Earth is ap5(6 f6x ifakd9 vzb(9pbhzw8pproximately $10^{12} \mathrm{~km}^3$ 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 orl m4rw(v6.fsk 3sb;/iy2 oue gder of magnitude, the number of heartbeats of an average adult human in a dass 6vrubm fy o;w (.3i4kl/eg2y.

  Which of the following contains one fundamental unit and one derived6 -/vg+lqpx zhn0c7+gqblx)s unit?

  If A=10.0 and B=0.50, whi*fs(fog ji3 g/mv7h0i ch calculation will give the answer with the most decima* 7 s(jvgo/3iffmg0ih l places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What q 7cn*9c15 bkmsbzut a -.x)dbis the order of magnitude of the ratio between the mass of the car to that of the mo1kx.t - c sbz cubm)7a5bqdn*9use?

  A train travels $46.3 \pm 0.3$ meters in $8.602 \pm 0.07$ 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(6da 34fqpv + 5etwy0* yswthl with sides of $3.72 \mathrm{~m}$. 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 base oj(8tkf tvrbj/v*1: xae: d; wgf 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 $6.0 \%$ 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 measured using part ytwl1)k6wv8u of a metre rule that is graduated in millimetres, as sht l81uw6k)wy vown 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 $3.4 \% $ uncertainty in $V$ and a $3.1 \%$ 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 is measured to b )t) qu3o;evqz c)h5*5vb1 vsqb*erire $18.6 \pm 1.5 \; cm$. 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 $2.1 \%$ and the uncertainty in $l$ is $2.3 \%$, 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 estimatez-wa7xjv 8e: -1kpy oxd as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 difference vk bs)inxl+ xs c/ym4d6i k*/q,d2wdx2m2 -az($V$) across a resistor is measured with a digital voltmeter to be $0.27 \; V$ . 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 measureme0ghv0,(1 n4fqmn hq uunts of the same quantity which of the following can be redufhn0g 0u(q 1 uv4mn,hqced?

  A student measures a distance four tim+1ith+6r owa oes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measu1+a6 o hwtri+orement?

  A student measures two lengths al)uxgc3 p 6i5us 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 measezeg2 ;5mp 7arw;k ky9ured 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 quantity Q varies is plok2fjjs 7twe y /5mtio g hbv9f ;wtg:x-n(j;6.tted. Theory states that P should vary linearly with wykow( t9igt:jnt7fs5 6h; ejgmx.b /2vf-j;Q.

  The length of a pencil idytl8+w kh5:va0tm c z xj:hdpqg-+5: s measured using part of a measuring tape as shown belowd h:: 5xz hc:q0jdkplw yta-v5++8mtg.

What is the length of the pencil?

  The masses and weights of differe )wq gr:lv5lv8hc y+3fnt objects are independently measured. The graph is a plot of weight versus mass that includes error barslvg +lq chf)5r3 8yvw:.

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 bua)g + 7y3 pi8ke-nroa rectangular plate are measured, and the diagram shows the measur+nge kiroy 7p)3u 8ab-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 solid sphere is measured with percentage un:f*6g d4-o bcwwzsojuow/ 3r,certainty of 3%. The radius of the sphere is 2.2 ± 0.4 cm. What is the percentage uncertainty in the mass of the ow b4ru g s:dwzc/jof6,o*-3wsphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shozin/9c1) q tdw;l4stxwn 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 gr2gh+ /wsodeky lochw9k708 o9avity produces the following rlo799wy+ oc2 k0 hse/8hwo gkdesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 has an uncert:4bkx3 nkw(fp0d8lo e ainty oon(x4lb3 0 fkde:wpk8 f $0.5 \mathrm{~cm} .$

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 .u sz(p*zgpf (7pn:nxnm7 p-x $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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-neo:7 omfy 4 t38jofl/.gt:yv9bylxg ;pgligible zero offset error. Which of the following statements vg tl8j/o4yb3mx.y7l:o fyg p;ot: f9 is correct?

  A student measures a length five times. Al5-pvds+t4 vibl 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 ± 0.4 cm long is cut from a longe no--buc26 b xtx/;jdar piece that is 12.6 ± 0.2 cm long. Howtb/x daou;cx6- n- jb2 long is the remaining 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 $\pm 5 \%$. 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 ± 0.3 N is applied to a mass of 2.0 ± 0.2uijq mwzu0qm2k o 00rv7 1s5had20q 3f; -ycyg4 kg, causing it to accelewy0 j7vgfu q02a0m0m15ky hdqi;r-u2 3csoz q rate. What 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 measured 3vsdw iu( u3h3to be 10.0 ± 0.5 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) %