Which of the followinqag47 hq,rct4dwm ;. sg could be a unit of power?

  By approximately how many powers of ten is th0h 1y4 ylckem(e height of a human larger than the height of a hyk1yce m04l(grain of sand?

  What is the value of *x spx9c7 nojr1 jv0 o/ kzyv(cs:8(cv$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental y ovbf,i 9-8bvunit in the SI system?

  The volume of the Earth is approxh) u,5 v0gqglwimately $10^{12} \mathrm{~km}^3$ 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 heartbeok3 )ay2f 6lxrats of an average adult human in a dayk yorx6) 3l2fa.

  Which of the following contains one f8hrxfvr la7) ,undamental unit and one derived unit?

  If A=10.0 and B=0.50, which cj;wyibs:0m ,ztt7td8 x 5knn7alculation will give the answer with the most decimal placdsk:jtxtib7m tyw 0 ;,5z87nnes?

  A car has a mass of 1000kg. A mouse has a mass of 1. x)c:-rhhvzs; j7 bma0g. What is the order of magnitude of hb-:ahxzv.jsm7 r); cthe ratio between the mass of the car to that of the mouse?

  A train travels $65.1 \pm 0.7$ meters in $15.179 \pm 0.04$ 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 of a cube with..lhj 8. wyoz;hv1am(u ybgpgt( 4s* o sides of $1.80 \mathrm{~m}$. 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 squarex -0+.aio 7 umev)qzwe base 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 $8.5 \%$ and $h$ is measured to $2 \%$, 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 ms: ia,1imdtkm;s v8.n zsl x3hq5 7y1that is graduated in mi :,8in5xm mymks1hzt i.7vl3qs ds1;a llimetres, 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 $3.4 \% $ 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 measur0) yp du,5 p)f-et3 szo-wi(r9xm cqk)jq2 ekfed to be $11.3 \pm 0.8 \; cm$. 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 $3.1 \%$, 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 esxrt+7 ,krl: qm9fax .wtimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differ irf;uo40ekftdy-0p :ence ($V$) across a resistor is measured with a digital voltmeter to be $0.12 \; V$ . 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 follow i.7yjjj ls;k(ing can bejiy j(js.7 ;lk reduced?

  A student measures a distance four times. The reading(z 1uuav j2,fps are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurement vujfz1p,au 2(?

  A student measures two lengths as folj2c6i8bpjpg vjz(db 22/1m ,+rm iayj lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, arep h 382srhhm,0 5nlgpa: dsnz+ 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 plol +-; mp024pisnh+*z rdgntwotted. Theory states that P should vary linearly with Q.+z 02sn;l4w*hotnppgd+- rmi

  The length of a pencil is measured using part bfyra +lpjbrw(. pdlbf v-7t()0y+ m2of a measuring tape as shown below.l7pv -r(0 ab.+ tjm(bf)r+yyfwd2bpl

What is the length of the pencil?

  The masses and weights of different objects are independently measured. T3- k6o ydva kn0qf68dvhe graph is kf 3d66dn80av-qk yvoa 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 the diagram shxrs3 m5wr;69fgy4go s1 oji xmb8w08 oows the measured val0gb;y8sm1x o 8wrs4w639 f5oij goxm rues 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 spherpqv m6m3(z oi5w/u9cbc6v 6xpe is measured with percentage uncertainty of 3%. The radius of the sphere is 2.7 ± 0.4 cmq6mz cvm6b 65 c(x9p/3oipwuv. 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 that:bfp((vblj;g :
$$
P=\frac{g h^2}{u^3}
$$
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 me)b fb;f7cyv,a asure the acceleration due to gravity produces the following resbb; 7ay v,f)cfults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rulervkvxs1ytuq 26zg q90c+aw ++y, such that each measurement has an uncertainty oqw tuk gq90xvysczy+ 2+v16a+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 mas ep7(u(;(v sr)jfagtv s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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 followingj)c q*jvlbg*0/bgn k3 statements isb3n /g* vlq0jb*) gckj correct?

  A student measures a length five times. All of ty7j * zecam30khe 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 ± 09xxoc(: klze m1)s ,sba3k+hg.2 cm long is cut from a longer piece that is 12.6 ± 0.6 cm long. How oh 39gk:ks(x)ax c z+1blsem ,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 $\pm 5 \%$ 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 ± 0.4 N is applied to a mass of 2.0 ± 0.16 kg, causing it toh7n()*yfgjzpw 3ecu/)(q ki g5g bjx4bfx- - s accelerate. Whseq3jh- bu)j5(yx kxgwi7 4-f gfc/pz b(n*)gat is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of jz ii)8(*0yue gxhpg5n)3 fmhhuly. p (/h x;gwire is 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) %