Which of the following could be a unit of 1-. owxkwk/f:k/ma3 yyaamf.power?

  By approximately how many powers of ten is th1+piql,zgwe kw(7yvevgm d,4*3 z:ffe height of a human larger than the height owf 3g,emlfz 4veqk:,v wd7z(p*1+igy f a grain of sand?

  What is the value ofkj s0*p)xkmi7d( l-v*yte) vt $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in th5 nuayzvrq.1 1vb3d2je SI system?

  The volume of the Earth is ):u*ak ow y mgk hy*3aj.6vxh(fqg2o: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 nea9pxnd3ja*ulet gl ajq / g r0lo(8 g)*za7hq-,rest order of magnitude, the number of heartbeats of an averahu*gpjte,aja gl x-z03l *qqa )7or(9l/ 8dngge adult human in a day.

  Which of the following w;oj/3p7 iqfk9 n7zfqe8 jc /jcontains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most d.qch i+b8.h )l 0u bmrxm2cjn8ecimal plac0j 8 bl82mm)x. qcuir chb.+nhes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is tiv sv 2rb0++johe order of magnb+v o vir2+js0itude of the ratio between the mass of the car to that of the mouse?

  A train travels $65.2 \pm 0.6$ meters in $4.268 \pm 0.06$ 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 with sides u4h.u zu/abk2 of $4.35 \mathrm{~m}$. Each side is measured with an uncertainty of $0.6 \%$. 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 of8z;r;ljl j.4qxd(p- xxnih8 z 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 $4.8 \%$ 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 us as,d.5(y0gpo zpf d2ming part of a metre rule that is graduated in millimetr,y2zdpm (50.pg dofa ses, 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 $2.8 \%$ 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 be twghpn 5 uyse;3ui69 5$11.4 \pm 0.5 \; cm$. 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 $3.4 \%$, 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 43 b (/+imgc y7yts f;snn,tpuas $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 ;d*ouhr36 led79 jmyc hx/k 5m($V$) across a resistor is measured with a digital voltmeter to be $0.18 \; V$ . 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 measurementsic7 q5hx9eah8 of the same quantity which of the following can a9ih 7 c8eh5qxbe reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37qrh4;tusas9 /8plqee )vlu,4.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measus4e/t l,8phu ;qsu9q l4vra )erement?

  A student measures two lengths as follows9qkep fwc a.ju89:l6h: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two event6f7nhsbgi6wa ,pg 76 ws, 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 plotted. Theory statesdm3) b fbspa *z..qge9usla;1 that sla.1fqgz*9se dubab3m p;).P should vary linearly with Q.

  The length of a pencil is measured using4-m.x; enfr yw part of a measuring tape as shown below. ;nfx -ywre4.m

What is the length of the pencil?

  The masses and weights of diixzj j 1 zs*u7 65m*ttix)wkf3fferent objects are independently measured. The graph is a plot of weight versus mass that inc3*x5xiiwm*fz 6ut) s7 kjtz 1jludes 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 measured, and the dt:n f3y m+u6nx sz2v;shvvi*-iagram shows the measured values with their uncertainties.ms;tnv-*+2z fyi6 vxu :hn3sv

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid spher2s1(x suwby;rqij)heif-9 k7 e is measured with percentage uncertainty of 4%. The radius of the -b( irs wyi2qexkh9s) j7 1uf;sphere is 4.2 ± 0.5 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 shown nyc,fe0br *y+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 ta *4p;8g:ddvd7gr-nld z o(d produces the following nvd-d7*td d8pdgar( l;o 4gz :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 ruler, such that each meas a c1gxblh9:) 8i njjhw-(iij3mm-0xlurement has an uncertain 8mj-gbxj3:am0 jiw ihnl1hx 9li(c)-ty 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 mas9w.(anoo p4b,tvr m h;s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.9 \%$ 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 xt/gqs 0h 92armz-/hm:h(e vhof the following statements is corrh(:rqgzsm2h/ah9 vxh-tm /0e ect?

  A student measures a length five times. All of the measurements lie/ q(l/cx*zcmprrxi ;6 qs:s;u 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 vu o vgq+3v,f9z gay7*longer piece that is 12.6 ± 0.7 cm long. How long is the remainin3v+vqg,gy* uv f za79og 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 $\pm 5 \%$ 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 ± 0.4 xu-obsmxe2 0 cm 5rt36N is applied to a mass of 2.0 ± 0.14 kg, causing it to accelerate. What is the percentagebu5rx3cxm-6m 0 tos2e uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire mmj fr)p3sr:xg (2e.2 i q;k*2lvxfiqis measured to be 10.0 ± 1.4 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) %