Which of the following could be a 7x, oz1;5rjiv;df cl*npo gp/ unit of power?

  By approximately how many powers of ten is the height of a human larger than vy : ad upd04ql*z9q7wthe height of a grain of san:0p7 d4ywqd9aul*vqz d?

  What is the value of z5:nb fc40 g,7 86cs*xyrrhv tk4er0)mbozeo $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followingnf5i l:)dkl.c is a fundamental unit in the SI system?

  The volume of the Earth is app,f p0r)i /k o;8cgqvepfvmn59roximately $10^{12} \mathrm{~km}^3$ 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 o;z dhw**a8nag rder of magnitude, the number of heartbeats of an average adult human in a;*8nha azdw*g day.

  Which of the following contains one fundamental unit and one derivedoqdstq yx*0tj(n8b2 - unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dp- *up* u*uudjecimalp- puuudu** *j places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of mr+pu i6 enz1oh w1*6yc9 c)duragnitude of the ratio betweenz6rh*1cuyuwe1+6ip c r)odn9 the mass of the car to that of the mouse?

  A train travels $40.6 \pm 0.4$ meters in $4.587 \pm 0.07$ 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 cubud,rq kxwj; 3l42vi:i2g qi3 ne with sides of $3.03 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. 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 rfnbqr 96f1a9 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 $7.9 \%$ 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 7).xx(mzbtz0 nsm+ys that is graduated in millimetres, as shown below.xb70ytzn()s. +m s mzx

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 $5.6 \% $ 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 measurew vt k06r w2+6.dlfylbg)ia m6d to be $26.9 \pm 0.6 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $6.2 \%$, 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 ej* na uml z((.psjb,a2stimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. 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 (g9tqyu05 ry) x$V$) across a resistor is measured with a digital voltmeter to be $0.44 \; V$ . 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 mea5d( zl1wpgjd 4surements of the same quantity which of the following can be d p54dlwj(gz1reduced?

  A student measures a distance four timla-):uyja 5(/q jumia es. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is tu/:ajj-( )y5ua milqahe best estimate of this measurement?

  A student measures two leng vd.-qs-ov ,ba2p8bu oths 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, q1ms py)z t3b. .grs/mare 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 stateppz-fk9o +. bks that P should vary linearly with + opf-.kz9 bkpQ.

  The length of a pencil is measured using part of a measa9 3egetild. -uring tape as shown below.gdiel9a.3 -te

What is the length of the pencil?

  The masses and weights of different objects ar7r/1yj//rq.f+5xdo lg mjky .do7veae independently measured. The graph is a plot of weight versus mass that includes error barkjo+d7/y. 5 qf.//17jamdeol rrgyxv s.

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 rectan)i si,qu5s6r ;f4-gs nnkif* tgular plate are measured, and the diagram shows the m *s;i)q4 rn5fs, -nku fgisti6easured 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 inx7 gl.2uz5 )o0renzg hes/3ccw5;ghs measured with percentage uncertainty of 2%. The radi2h zg/g7. sng;e 5nzuo03cx5we rhcl)us of the sphere is 1.3 ± 0.2 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 sho da(*0kwhhgx6 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 accelerap*;ekpj xz) m.tion due to gravity produces the following results.m;p*j zx p)ke:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 p* lrp6w3)8gfo t4 dqpeach measurement has an uncertainty off)o8l 4 gp*6wtqdpr3p $0.5 \mathrm{~cm} .$

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 massx:ub gw .5 c/lxgr:k0uvib 8.y $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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 off -,;fv3pj/cen 2 bi 5lbuvpo;zset error. Which of the following statements is cor vl vb fjpz 3/-i2e;5bnuo,pc;rect?

  A student measures a length five times. All of the measurements lie betwen /khf57yuqbv0x gfr kwj71qyf96+ r9en $18.8 \mathrm{~cm}$ 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 ± 0.4 cm long is cut *ermhyw9e vu +rw :8m55acz3 lfrom a longer piece that is 12.6 ± 0.2 cm long. How long is the remaining e cv53u*mz 9:rre5hlywaw8+m 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 10 \%$. 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 ± 1.4 bv,i*jc d6r( g . f.d/xcu0iv;4m qrvwN is applied to a mass of 2.0 ± 0.04 kg, causing it to accelerate. What is the percentage uncertainty of its accei;c v(dbmvrrx04 g,vwf .*6q . dcjui/leration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is meas)zwu/xvrn7e+i bd3/ ywf:fx : ured to be 10.0 ± 0.6 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) %