Which of the following could b3 c uzt.19uukhe a unit of power?

  By approximately how many powers of ten is the height of a human larger t;pjh/cn5+yv uhan the heightp+;/5vyucnj h of a grain of sand?

  What is the value of1lq6u8n uvtfub/ /x:o $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unxalzb,: +llty n2w( f5emk7)zfq:ya8it in the SI system?

  The volume of the Earth is approximatel v)w 9h+hhql7vy $10^{12} \mathrm{~km}^3$ 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 magnitc1b umu7cp+,wude, the number of heartbeats of an average adult hum+bcp7 1,w mucuan in a day.

  Which of the following contains one fundamentam7 cj s-4sr/lql unit and one derived unit?

  If A=10.0 and B=0.50, which calculation wil 8ff7u0zjrxs +l give the answer with the most decimal plaffz0rxu+ s7j8ces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is u wvwd30,u6hxpd y 292v6qhi88ryaidthe order of magnitude of the ratio between the mass of the car to that of the 8dpwv,idv0hq dw y a96iux u23ry6 h28mouse?

  A train travels $66.5 \pm 0.2$ meters in $15.212 \pm 0.08$ 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 withr s tgpdh;1bv)u:ow: 6 sides of $5.03 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 bast vnvrt)9cb57,1smwr ho):4g)o n qcye 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 $9.3 \%$ and $h$ is measured to $4 \%$, 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 hhkv3+u i(z,manvxm : h6 -ds8metre rule that is graduated in millimetres, as ni+dh3xkz, :vumv6s8(a hmh-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 $5.4 \% $ uncertainty in $V$ and a $3.0 \%$ 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 beb cghxz)a)w6 :it qo,2 $11.0 \pm 0.6 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $2.6 \%$, 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 sideskj5qp(h,ew 8idw3v nm89sy l 1k:;xqt of a 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 differ1i.1f+wrwo ftence ($V$) across a resistor is measured with a digital voltmeter to be $0.27 \; V$ . 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 followipumd6 tc sev3y5kdr , wer:-24ng can be reduced?6-r2s:3 d4kcydrp um5tv eew,

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, re9 5-n/ygjgr 38.1 cm, 38.2 cm. What r5n-g/yg j e9ris the best estimate of this measurement?

  A student measures two lengths as w s0cu)yg+l;d;8mlamh s6 pc(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 eventsja, 2x3 qzno5s, 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 qhj aw9n3xf.f;r;j2y guantity Q varies is plotted. Theory states that P should vary linearly with Qh .3xfynr2 fjgj9;w ;a.

  The length of a pencil is measured using part of a measuring tape as showntq6cg, . kzdu5 below.tkucqd6, gz5.

What is the length of the pencil?

  The masses and weights of jm- g)mbwlr;t(t+( sjdifferent objects are independently measured. The graph is a plot of weight versusjsl) -r(btm+; j(wm tg 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 rectangular plate are measured, and t,wft.a +0lay rhe diagram showly+,0 fa.aw trs the measured 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 uncertaintyvoutuyiz.9/ 42vou t2 of 1%. The radius of the sphere is 4.6 ± 0.3 cm. What is the percentage uncertainty in the mi 2ov92y4uutz.u to/vass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that1; v7r2bjtpwgdec*wq (fdsg7 k e;eued*/+p 6:
$$
P=\frac{g h^2}{u^3}
$$
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 productw)qml-(-ka2*pfdp v 8eyk) khjb(v /es the following resu/p( ) d k(qpe k2mvkw*alhbj8yvt--f )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 ruim 8dg srz-q,8:z:cj:eci r .tler, such that each measurement has an uncertainty oq8 t:i.s -jg c,mrcedz:z r:8if $0.5 \mathrm{~cm} .$

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 masdseag.(b w69 hs $(2.0 \pm 0.1) \mathrm{kg}$, 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 following statk2449lozez pmements is corrl4pkz9 z2o me4ect?

  A student measures a length five times. All of the measurements lie betweemm e3xxx5lr;e*v mi4a:j236r k gq) phn $18.8 \mathrm{~cm}$ 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 ± 0.5 cm long is cut from a longer piece that is 12p-k2xft0y1 (t51lc ock yvad7j9up +z.6 ± 0.6 cm long. How long is the r7 kv51c to2d0cylxa j9pt+1zfp -y(ku emaining 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 $\pm 2 \%$. 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 ± 1.2 N is applied to a mass of 2.0 ± 0.18 kg, causing it tong e2 +uo+6o b1fzi0og accelerate. Whatiougn + eg0o fz2+o1b6 is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measugcspz +h,nw*y89cy 0sred 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) %