Which of the following could be a y1m9q vl ev:z:unit of power?

  By approximately how many powers of ten is the height of a human larger than the 1tpwx9nhg+4q height of a19 qt p4g+hxnw grain of sand?

  What is the value of jf exmtgjza0l+n2wyw8 x( 3w/pt *(8x$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followis5u2cwl3t 0 1xme(jy z46q etof6cko-ng is a fundamental unit in the SI system?

  The volume of the Earth is apu ( b isvelh(965 vh0jt i*x8moai7oc8proximately $10^{12} \mathrm{~km}^3$ 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 gyph j.;dspb,) 4 uil 09*mmpenumber of heartbeats of an aver u . bm*g pi,dpyjml9p4)s;eh0age adult human in a day.

  Which of the following contqvov.5dzz h5 (-x xc0iains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the an 7jn mo*asm 7j/t73sqlswer with the most decimal pl s3a*mo 7n 7jm7lj/tsqaces?

  A car has a mass of 1000kg. A mou+evh.m 6*khai+b 9seb.v9wqbse has a mass of 10g. What is the order of magnitude of the ratio between the ma +s9qemah. 9w+bi*vbbvk h.6ess of the car to that of the mouse?

  A train travels $67.5 \pm 0.8$ meters in $9.348 \pm 0.06$ 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 withfnu;uip81 w2gcu78lq1n3p k1u: faup sides of $2.48 \mathrm{~m}$. Each side is measured with an uncertainty of $1.0 \%$. 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 bas x8(7v toor /1tpo5xqmuxd 6z3e 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 $9.9 \%$ 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 pencili. kpf faw0c1,6ksb/h is measured using part of a metre rule that is graduated in mill.pb k,/ka 10cwsfi6hfimetres, 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 $5.2 \% $ uncertainty in $V$ and a $0.9 \%$ 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 cz /kq/pp t.e la5n)4caup x.aoj33t* measured to be $30.0 \pm 0.6 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $2.8 \%$, 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 estimated a m.rd)9wpa got7y5t3 gci )s+zs $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 12 \%$. 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 differenceocgg06p3y +a-+mux bkuxgt() i 3r5dg ($V$) across a resistor is measured with a digital voltmeter to be $0.21 \; V$ . 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 measuremekud20sgq6u +t cpb s2; .tij:knts of the same quantity which of the following can be dp6ut2t :s ;ic0js .bkuk q2g+reduced?

  A student measures a distanc3c,71qiiqix; jspt2 ,0o wfgs e four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is0o,t,q 7fsigxp s3wc;2q1jii the best estimate of this measurement?

  A student measures twoc crt*fq/-.s pg 4pk(z lengths 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 evenafum5h :x *j)vtnm83nts, 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 P as quantity Q varies is pojfet 9977oq clotted. Theory states that P should vary linearly wit77q9ef9c jto oh Q.

  The length of a pencil is measured using part of a measuring tape as1lodi(xhp:rp m 6s) )f shown below.1l fpi(h6)o:px rd ms)

What is the length of the pencil?

  The masses and weights of different objects are independentlycoaw32s/t9;b c *lirg3zhq 6f measured. The graph i9 wf3*to2zq/bi g clr;s6ca3hs 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 a rectangula ogafbzyj6m :2q 05aw9r plate are measured, and the diagram shows the measured values with :qoamgy5 aj 69f2wbz0 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 4%. The:lm4;biwaxg * radius of the sphere is 5.3 ± 0.3 cm. What is the percentage unb almx4:*gi; wcertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hac ww35. b. zmk9wtlul(s shown 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 gravity produces /q,xtucl:j+ygy( 2 es the follo/sj e:yqyu x( g,c+l2twing 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 usi9d0/vz5x sf0 yeo3v qrng a ruler, such that each measurement has an uncertainty 9 o0ex3vsr d vqy/fz05of $0.5 \mathrm{~cm} .$

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 mas 5 ajmsgfjbw-1g/p9k 0s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $9.0 \%$ 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-neglifr3re 3p/tyfx*q+uf9 s5em6d gible zero offset error. Which of the following statemesf d rr*93eupym6x/q3 ef+f t5nts is correct?

  A student measures a length five times.*8 -jxu/rsj9deif:prb jft.* 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 ± 0.2 cm long is cut from a longerh .eoi0xe;h 2d piece that is 12.6 ± 0.5 cm long. How long is the remainxe0o dih;2h.eing 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 ± 0.9 Nz8 ((m8pzk4w:x u rjx-jjbtp. is applied to a mass of 2.0 ± 0.16 kg, causing it to accelerate. What is the percentage uncertainty of its accelt pj.8rj(z b: p(xzxmukwj48-eration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± rze)yk weaf8(r a*fs 4yru7141.7 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) %