Which of the following could be a unit of powzf68mx8 wkm8 cq2/ bjrer?

  By approximately how many powers of ten is the height oc 3c ylsb-o o(d+.3n0cxjlp 0if a human larger than the height of a 0(xpncc-d b.o i+0j3lls cy3o grain of sand?

  What is the value of 9zumpgpan)f94gb(50 l: j fqk$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in tq )cyfn37t2u4 b6a2bjn7eq j zhe SI system?

  The volume of the Earth ise01m0ivx0mjz on 9kvv)l 4ud5 approximately $10^{12} \mathrm{~km}^3$ 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,2yj)f46rt. u 9jqvfe,, cs:mjp iuoi 9 the number of heartbeats of an average adult hum,y .ijj i2upquotfjvm4s , f:)c6er 99an in a day.

  Which of the following contains one fundamental qz8gszs - )gewc/-ku) unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the (jzvco.e jng6umyx+t. a / 5.wmost decimal placjau.nxe6ygjt.5w( z mv+o/ c.es?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What ist )n)+qlgbp /a the order of magnitude of the ratio between the mass of tnpgb+/))t alqhe car to that of the mouse?

  A train travels $74.4 \pm 0.7$ meters in $4.445 \pm 0.03$ 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 shape of akv5b7 f +vlkykrqo:*7 cube with sides of $2.23 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 nuy y.o 718aiiyr0am*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 $7.9 \%$ 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 measureses gsp )a,4w3d using part of a metre rule that is graduated in millimetres, as shs w, ss4g3e)apown 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 $4.6 \% $ 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 measured to bz-e,rvkqp6 w+: tue) me $20.5 \pm 1.8 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $4.9 \%$, 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 estimate2g0u+2:ww))xi d cqqpvnx mv3d as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differenceg.e w t7/qrcfz/m7 2jn ($V$) across a resistor is measured with a digital voltmeter to be $0.16 \; V$ . 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 meamwx .pl; /sgf9surements of the same quantity which of the following can be r/.fgm; 9xwlps educed?

  A student measures a distance four times. The readings are 3khb u)j jawxz3( c6kd1nm7 b(87.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate j )jz7x6hbc(mabdw3 knk 1(8uof this measurement?

  A student measures two lengths as follyw9:drbd:jjwyzj)c hwd k8o3,4p). jows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to h6wp2+g .bln8 akvuj/ 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 qhi gg65vwg2 23eehhn6 7fe+rgak+, zquantity Q varies is plotted. Theory states that P should vary linearly wit qkv27z, gf agirghh egw56n+6he+2e 3h Q.

  The length of a pencil is measured using part of a measurit vcccsn7y9+)ng tape as shown belown+ cy9vtc s7c).

What is the length of the pencil?

  The masses and weights of different objects are independently we 269ulp3 nr8 tx4.(cxbjwyimeasured. The grap wu4p(9jtnx ce8 lx3 ry.ib6w2h is a plot of weight 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 az b,p+ -6kjlk9aw/wja rectangular plate are measured, and the diagram shows the z/ ,jw j-9bal+akkw6pmeasured 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 uncertainty of 8jvmnh +27q:t(y-v ti k%. The radius of thjqkvm +hn vi27(y: -tte sphere is 1.2 ± 0.1 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 sho408hq a+skuj+ .q5 kt fapm.zbrj/s-xwn 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 9i +*5/)rhckmxbq3 7zmfca d ndue to gravity produces the following results: a+73*/zcdnx )iqh59ckfm b rm
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 re :-en0 nnttt.uler, such that each measurement has an uncertainen .nte0t :-tnty 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+tll xe00b xdg62kp8 e(e9 gu)6k o/eyijr3f$(2.0 \pm 0.1) \mathrm{kg}$, 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-negligible zero offset error. Which of s5 :zf ku.fgd6gclq;r*l(. hrthe following statements is cor .h:l*ud lfgrc(qkzs65.; gfrrect?

  A student measures a length five times. All of the measurements *q-k/s owd to/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 ± 0.2 cm long is cut fl;ywqj g7vm *bp0-e7rrom a longer piece that is 12.6 ± 0.5 cm long. Ho; gr -0 7wpybql*v7ejmw 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 $\pm 3 \%$. 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 ± 0.8 N is applied to a masshkaw045b- lsm of 2.0 ± 0.11 kg, causing it to accelerate. What is the per0bm hw5la-ks4centage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire g-.3:.ys n1ebmuqhpsis measured to be 10.0 ± 2.0 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) %