Which of the following could be a unqv96i.i ec( g3;dl+m4j ttqsl it of power?

  By approximately how many mkwmag7ppfv2at6xh 6snh:p8* nxry.74 z1,n powers of ten is the height of a human larger than the heigxr4m,f7s1 y hpp6nap. tk7* h8 nm gz6xv2naw:ht of a grain of sand?

  What is the value of j o5j3xs(.fye: l4v, by nws,o$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system?jf/;c60dre ym6fcr9i

  The volume of the Earte gm8 ,,xhj;5btte 4bzh is 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, the number of heartbeats of an am(/jgo0; .knq;q6e2g c9b 3vbz tmaikverage adult human in a da n;j mg ;(.ebktcqg0b/6vao3q m2kiz9y.

  Which of the following contains one fundames ef)0m* bs.rwntal unit and one derived unit?

  If A=10.0 and B=0.50, which calculation wig 7.w s5:xs3id4qptvv ll give the answer with the most decimalspv xiw 74g:3. qvds5t places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is h;6k c lchy76 g5it;kgthe order of magnitude of the ratio between the mass of the car to t6k7i thg6;;hlcgy5k c hat of the mouse?

  A train travels $63.1 \pm 0.2$ meters in $8.557 \pm 0.08$ 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 si0s6r ..jscbki /c-xxjp-gk e-des of $1.87 \mathrm{~m}$. Each side is measured with an uncertainty of $0.4 \%$. 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 6ey inj*t-,faside $x$ 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 $9.4 \%$ 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 is84mg+m2 iqm 6dbth7j qo4x/ gv measured using part of a metre rule that is graduated in millimetres, agt4v8 m2gq+mjhi/q mdbo6 x74 s 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 $4.8 \% $ 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 balloo0n kq a;w8;gqen is measured to be $21.8 \pm 1.1 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $3.0 \%$, 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)--zg uq xsz4qc5vgvbdv*l(4 room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 . 7tfsgf6fu */t4audi ($V$) across a resistor is measured with a digital voltmeter to be $0.09 \; V$ . 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 ofjnki:vn02tus (l8d9 h dkr3 7gd/:j qs the same quantity which of the following can be reducedslnk jd2u7ij :s(t h0d3gqvr:/ 89k nd?

  A student measures a y rly4ufd2z 90distance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best yl92u4fy z dr0estimate of this measurement?

  A student measures two lengtv4nbhrlc 43fu5js49 m hs 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 lnsa/*5t :uu(gq7m d;g 4bw wf9cp)ga 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 P as quantity Q variadt( 7k )33m7xscljjr1s cgc.es is plotted. Theory states that P should vary linearly w s)g( cj txld3ja3cmk7r.s71c ith Q.

  The length of a pencil is measuredn/5 z6khfnmk4r) )jqp. f ql:v using part of a measuring tape as shown below qh k6rzjq4)p:fm)n5vfnl . k/.

What is the length of the pencil?

  The masses and weights of different objects are in1ozqy4. qiiep4-e g :wdependently measured. The graph is a plot of weight versus mass that includes4o :iew iz1 gyq-e4p.q 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 are measuzeb, n) a7vtg8i r*gd*bs6 qd2mm e46sred, and the diagram shows the measured values with their uncer, d m b26t6s*a*i)qd84z7ne ebrvsggmtainties.

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 gcowqmb3 x5-1yg b iu 5;mp:o0of 7%. The radius of the sphere is 3.4 ± 0.3 cm. What is the percentage uncertainty in:o b5 5i 0m3o;bxqc -1pgmwygu the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thi;j svmx*j y77at:
$$
P=\frac{g h^2}{u^3}
$$
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 pro3sm+i )pg*g;6y s b/qxj *)jxug;i yynduces the follown qi3+;bx/))gs*6su j* xyy g ygjpi;ming 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 rkwig )vq no:+2a;u,l ouler, such that each measurement has an uncertainty ov o;:owlqa)n2 iu+gk, 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 r 0phty3lya-d2:+m qzvrtwh/,b mz3 3$(2.0 \pm 0.1) \mathrm{kg}$, 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 the fo*zt((hye y+1e(,rtn jub(kt6rs e* kwllowing statements is cut6zke h(j(r+weret * n ,(*yy(b1tksorrect?

  A student measures a length five times. All of the measuremen* j2 oz0:yepayts 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 ± 0z7./3aro-; b i3 omyx a-i,w7x dsiqod.3 cm long is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is the remaining piece of string?b7d -q,r ox/w3-is7xa3 m oydi .;ozai

  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 $\pm 7 \%$. 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 appla/m dl+,/ uz)bvakn pr5 c18tsied to a mass of 2.0 ± 0.06 kg, causing it to accelerate. What is the percentage uncertainty o5mna k/spz+)c8al d /1vut, brf its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 0.8 ekyd- 8 xd(tm .v-fpfw;* ph,gcm.
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) %