Which of the followinhh*o* 43 qzfazmy* 0mzg could be a unit of power?

  By approximately how many powers of ten is the height of a human largervbl4e0zfh4hj(5r )hfi p2 )hx than the hehlhfvrp2(h) z 45b0x)fh e i4jight of a grain of sand?

  What is the value of mgpr1ecf 1-,k1p0ikabq-7 ry $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SIi*5+i/n cwjpg system?

  The volume of the Earth is approximat/7x*lw pr2ey1ne odxfr (p*.se) o lj6ely $10^{12} \mathrm{~km}^3$ 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 heartbeats of an d(he p shgtyqm75hd *-ga4z l+7klz20 average aed5(qphhz4gmg7+l*ly h0 kd t2- zs7adult human in a day.

  Which of the following containnb,vbz, agwwk)2 *6sns one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the an)6 f ;t2fb;mw 9jvofyb82nd. fs l-e9n*rbqkcswer with the most decimal placelbcjf2foe9r fn2 mt w.qfbdvk;9ynb; 8* )6s- s?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the ora6t2psvj3 ya9der of magnitude of the ratio between tht9 jvsyap6a23 e mass of the car to that of the mouse?

  A train travels $59.5 \pm 0.6$ meters in $11.880 \pm 0.08$ 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 sha -otyc7w 96fqbpe of a cube with sides 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 b7bj ua0rlwcu:;8qbt7 ase 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 $4.0 \%$ 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 8y7q*b-uq x+uh( vhqfmeasured using part of a metre rule that is graduated in millimetreb*qq8xfu u7vyh (+qh- s, 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 $3.5 \% $ uncertainty in $V$ and a $2.4 \%$ 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 measqjfxo3lhm0u *+v x )c7ured to be $28.3 \pm 1.6 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 8a gf7eq dp4d8are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differelj :/f tb5uskpok6 u,v,-*eyn nce ($V$) 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 measurements of the same quantity which of the following cau j 902/0vfsm yavog:(vhssj; xc. u4h,het s4n 0e;sxf ( t2mvsc9:hgy 4a4.oss h/uhv,0juvjbe reduced?

  A student measures a d l7)nvrw (t(q g1y2kxmistance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, )2kxrt1 v(n( m 7gyqwl38.2 cm. What is the best estimate of this measurement?

  A student measures t0 awgzq4l.cx7 wo 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 events, a and b, a- fb0 0uyso59xcxsym/re 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 quantpuex, d( mc8z1a t6rb .k*c2zpity P as quantity Q varies is plotted. Theory states that P shoptxc(ud, mr2*8 bap6 .cez1zk uld vary linearly with Q.

  The length of a pencil is zy -k7ui i9 tan)job86i. vxf*measured using part of a measuring tape as shown below.u9x-v)8za.67f jitiiy* b onk

What is the length of the pencil?

  The masses and weights of dir iwhg 56l 5,end rcx.pr)y,g8fferent objects are independently measured. The graph is a plot of weight versus mass that includes wrxngc,g6r.h5r)l i, y p5d 8eerror 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 mk b:ieru m74tgn7t9)8b,kzx ak91x re easured, and the diagram shows the measured valut)b1zkr7ga 9ne i:7 mb89uxk,rx4te kes 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 x(9 0wn*cqua cwith percentage uncertainty of 4%. The radius of the sphere is 4.1 ± 0.4 cm. What is thc *cqx9au w(n0e percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hao( qod;e1y97u;lxh v:z +pibhs 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;v9o jso+66fq4 xv0qi, ohhvf to gravity produces the following resu s v xi9f06oq6 vo+hqhj4f,;volts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usi/f .te6gd kgyc;:yig.ng a ruler, such that each measurement has an uncertainty ofi ye.f 6k:.gd/ cgtg;y $0.5 \mathrm{~cm} .$

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 fb1wuw7v/8hw,r 5q v:pen q.ks $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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-negligi sw5d1e 726c+3anjtt-hvrsq mble zero offset error. Which of the following statements n s5+-ejtva37 1dwr2chqt sm6is correct?

  A student measures a length five times. All of the measureme5 tcyzf((8mcbp .3+h cx7ajlants 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 ± 0.3 cm long is cut from a longer piece that is 12.6n n qyerozf *se( jv(3h(tcjjwen 0)z 8*d;p3: ± 0.1 cm long3jq;cp0*8)r(eyfnzndjven jz (eo*wh :s(3 t. How 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 $\pm 3 \%$. 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 ± 0.5 N is applied to a mass of 2.0 ± 0.20 kg, yh9rpq.11evwz (t5 g pcausing it to accelerate. What is the percentage uncertainty of its acceleratrw(pze1t9 gq51y vp. hion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to +n90nus.,0f vde c4g +xjbz csbe 10.0 ± 0.5 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) %