Which of the following could be8+kj2wrwp xa1/-h xlwz6b7ju a unit of power?

  By approximately how many powers of ten is the height of a p)ylsyt /9/ru human larger than the height of a /rsypy9t)/ul grain of sand?

  What is the value of7xw yowch erl) jo)-)sl3p p7x, kix8, $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamen:jqbtk, p-vlvxi:/ xht77li8tal unit in the SI system?

  The volume of the Earth is approximat4xmlr*fg5rmy; * 3arbely $10^{12} \mathrm{~km}^3$ 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 orji,:asn a m.j5sf-q1jder of magnitude, the number of heartbeats of an average adult human in a daj,afq jan.im1j s:-s 5y.

  Which of the following contains one fundamental unit;eh ls3 sdc.shxss88*53br i r and one derived unit?

  If A=10.0 and B=0.50, which ri 1 o3r/b5bk7 gn cdsh,nla)*calculation will give the answer with the most decimal dh1or ,g*nni5acr7b3sk)bl / places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of magnr(+ar j3pq 6iqitude of the rr3qr(+q j ai6patio between the mass of the car to that of the mouse?

  A train travels $80.0 \pm 0.3$ meters in $7.633 \pm 0.04$ 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 wjjha fhhyx50/t 8j 81eith sides of $3.45 \mathrm{~m}$. Each side is measured with an uncertainty of $2.2 \%$. 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 squac-7id+vv ,c,ei w*zgm bs,l n6re 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 $8.4 \%$ and $h$ is measured to $6 \%$, 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 of a metre rule kqk-hf wb9r-b +)y ek;that is graduated in millimetrebke+;)q-y - kfrbh9wks, 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 $6.0 \% $ uncertainty in $V$ and a $1.2 \%$ 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 be cx s476z; sw1oowmo2 w$16.7 \pm 0.5 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $3.7 \%$, 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 e567s j2wrcbqdstimated 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 differenftu ni k *zgp1+juc *8sca0;(sce ($V$) across a resistor is measured with a digital voltmeter to be $0.10 \; V$ . 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 folloa1cx5m1. l kdmgqq,;wwing can be reduced?c m 5q lm.a;dkx11w,gq

  A student measures a distance four times. The readings are 37.8 cm, 3 nqsnha 25dzjs;uzt0v1 b 8tn5q /8ql)7.9 cm, 38.1 cm, 38.2 cm. What is the best estim ab5 ;/lvs0sq)qnqdhj8 nz 2nutt 1z58ate of this measurement?

  A student measures two lengths as fiinsda 0 .( j,g(nesmym8o/r 9ollows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events,ns : mya,dkjz7n17n o, a and b, 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 P4r akia9w2 ns* as quantity Q varies is plotted. Theory states that P sh*a anw2 rik94sould vary linearly with Q.

  The length of a pencil/m*rk16esn w:9cp m xt is measured using part of a measuring tape as shown beloww6mt1nrcsp *x:9e k m/.

What is the length of the pencil?

  The masses and weighwa;(k/6 w sk gopjvkhxc29;f8ts of different objects are independently measured. The graph is a plot of wwwoakc6(;h ;v s fgk82jxkp9/eight 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 rec--ne li*)f jcrtangular plate are measured, and the diagram shows the measured values )--nire l*fc jwith 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 perce.k 0d mr(nkmh5ntage uncertainty of 4%. The radius of the sphere is 2.4 ± 0.3 cm. What is the percentage uncertainty inrhmkk5.d(n0 m the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that*3 klpjh t x7hxa9-qf7brkb;: :
$$
P=\frac{g h^2}{u^3}
$$
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 dueylk/aqqnre1e+ w(8 i9 to gravity produces the following resu+rn a9k(/le iewqyq18 lts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 unce84 zgytiaulp ;,r,(kwcw x( f4rtaintyk(caxy g4flz48iu;rwt, p( ,w 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;vj,l ypy1r t,z*c jm0 fe.mi7 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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-negligisf0pq26cp;g3 cty4y ible zero offset error. Which of the following statements is correc4gcpyp2c;s63qt yi0f t?

  A student measures a length fiv ufb ;l)zv-2gqy+nh 8re 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 ± 0.1 cm long is cut from a longer piece thati.cvt(3 vea,c( f991dop bljl is 12.6 ± 0.8 cm long. Htl9( c3p, 9ajio 1be.(lfcd vvow 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 ± 1.1 N is applied to a mass of 2.0 ± ac2 m-k,rey 9 djgrp(40.08 kg, causing it to accelerate. What is - y(amrk9g4red2,pjcthe percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measurudr14c5, sz)gmq)0 mok 7h6cyfyx*k e ed to be 10.0 ± 2.2 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) %