Which of the followig;e9ar-p r4.;mljc t png could be a unit of power?

  By approximately how many powers o0f n:kq6a;dd xf ten is the height of a human larger than the height of a grain of sandk ;dfq6d0a xn:?

  What is the value of u):n l2 sul(qi$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI sscol1717p *+ naqaaozystem?

  The volume of the Earth is approx m iwa: 6l90xpgicf v/+h+mv8uimately $10^{12} \mathrm{~km}^3$ 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 ofikgemmsgdy0 5 go e63i84+ d0s heartbeats of an averag8md g ek0 6g+oei43ygimd5ss0 e adult human in a day.

  Which of the followingn05vibhb k0 ts sa(tw9 ,g2z/x contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give 9-n4 huowhpmmq0u*bz.rl. r -the answer with the most decimal places49m0*nrhqurh wpo.zb l m --u.?

  A car has a mass of 1000xohz2 k*aw- trhw: ,+ ,.kalvtkg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mous,rt., hvw kokz h*+ax-tl:2awe?

  A train travels $37.8 \pm 0.8$ meters in $15.211 \pm 0.04$ 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 gc3u3xb3 pp7hk *-zlum1 eijx /(v)edof a cube with sides of $4.91 \mathrm{~m}$. Each side is measured with an uncertainty of $2.0 \%$. 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 baho8 ) ozhf;1lo trp-wa 38osy;se 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 $6.8 \%$ and $h$ is measured to $1 \%$, 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 that qbhqz4 4*u qviwmgi0b - 6 5wnc(yb4-uis graduated in milliv 4(g6i-n5wy-q4qb4b izb u*0muqcwhmetres, 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 $6.5 \% $ uncertainty in $V$ and a $1.7 \%$ 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 measured0.s*zi+cso +zu+rvl h74wd2rz/y *jzsb bl:n to be $24.1 \pm 1.0 \; cm$. 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 $3.2 \%$, 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 estiou17ul6uac dy1cgd4c2 ;pv73 1k exqq mated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 7 \%$. 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 (49iw:wldu, o yop06lu$V$) across a resistor is measured with a digital voltmeter to be $0.38 \; V$ . 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 saf/au7q *xy8qu7x zl5c me quantity which of the following can be reducedxz 5fqxc7 au8 uq7yl/*?

  A student measures a distance four times. The readings ars :s8 k x3mlmjc+:h htem5*7dee 37.8 cm, 37.9 cm, 38.1 cm8s+e*hhm3cdtsl: m5 kx:je7m , 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follows: c z avkglor:f)5q6s.hf05 7j p$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a07w)ujtttwntmq0 j3 ; itab;: 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 quantit5,bv*nq;/1 dtasj jhiy P as quantity Q varies is plotted. Theory states that P should vary linearly withjt5,j /svbdqn a*;1hi Q.

  The length of a pencil is measured using par dtkwk 1m,rvbrk 27/l5t of a measuring tape as shown belowvmwkdl 1 r5 ,/k27krtb.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The graqzss*v8c.1t+q8rq mvpzs 1vr mvs. 88q*cqtq+h is 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 rectangular plate are measured, and theb panfm q9:h2u4 cjhr2h h8q/+ diagram shows b:f894r/mqquhj2p ha2 h+h cn 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 uncertainty of 5%. Theambf6:3p-* rbyx59 d.hnsvzf radius of the sphere is 5.5 ± 0.4 cdx - yfszn5pv*9r6h3 b .:abfmm. 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 shobsrn49 brg*bc/ ri/ *qu t,xg,wn 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 grave4q;hm 9 hk7hq oyrq42d+cpv+ity produces the following4h+qpd 7hqyo+ 4q9erv; ch2 km 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 measurengtl2zb,3cn ltta, .3 ment has an uncertainty .ba,lnt2 ltgct33z ,nof $0.5 \mathrm{~cm} .$

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 masi+lmwht5gpa t /w-6iq +2f c+fs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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 zer* tbzoewm1o ip*n*qzq i1s.)+k s+;bzo offset error. Which of the following statemenismoiz sb *etpnq1+q)*kbz.;o +z w*1 ts is correct?

  A student measures a length five times. v) ;c0kyqe elt:vlo4;n8h. op 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 v 34as 0hk8pjqpiece that is 12.6 ± 0.5 cm long. How k4ahq83j p0vs 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 $\pm 5 \%$. 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 appliez 8 9/ dqjguw-1xep3uld to a mass of 2.0 ± 0.07 kg, causing it to accelerate. 8ledw1qp /9jxzugu3 - What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of w9k9 b ))qmxbijire is measured to be 10.0 ± 1.7 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) %