Which of the following could be c:2,6uxvz6yxqvi8nxv j-o4oa unit of power?

  By approximately how many powers of ten is the height -k8bs0 / 1snjb6nanpdx/qoy ( of a human larger than the height of a grajb0s1/ axqsdon8(-/ nybpk6n in of sand?

  What is the value of92eb wxlk x4dkm f5. of)rn3l7 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in th8ki3a a*hkx ky1x2at +e SI system?

  The volume of the Ear0kl 3 x3oiumq7th is approximately $10^{12} \mathrm{~km}^3$ 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 of0t0k*brx6wh;mmwuh ;q-/ nm v an average adult h6 /v h m0;wx*hu0rwmn;m- kqtbuman in a day.

  Which of the followin)ttha a2j(0opg contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calcuob* rpad+ ah35lation will give the answer with the most decimal bpr3*ao 5had +places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. W)se p4m wmaojg(t99xg(( p+yz hat is the order of magnitude of t9mx pg so((j +wpe)gamz(9y4the ratio between the mass of the car to that of the mouse?

  A train travels $53.7 \pm 0.3$ meters in $9.588 \pm 0.08$ 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 czpvcl y- 0fq0z8(ya;t) k y kpy3*xta:ube with sides of $4.34 \mathrm{~m}$. Each side is measured with an uncertainty of $0.3 \%$. 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 base of sideivf n99*u x8-ysl i,tr $x$ 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 $2 \%$, 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 that is grd xmy o3osfui)**ux8d+ s5xqjxa,m w9z3 j )9xaduated in millimetres, as showxjx3ysw9mzoud3 j5 s x)fx8xuq9mad i,*+o )* n 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 $6.6 \% $ uncertainty in $V$ and a $2.7 \%$ 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 wg3nrv3 s 1p-hmeasured to be $17.2 \pm 1.6 \; cm$. 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 $1.7 \%$ and the uncertainty in $l$ is $6.3 \%$, 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 esb0+4yqv7a f ixz 5p*,u1ztrud timated 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 differein x(fbx/i+ ph/vf( s(nce ($V$) across a resistor is measured with a digital voltmeter to be $0.77 \; V$ . 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 quantit do * z*odzo2sjqc(7c:y which of the following can be rodd s *:2qoj (*7cczzoeduced?

  A student measures a distance four times. The readings are 37.z6nckn2h; 5s.nzl1*y5i nohx 8 cm, 37.9 cm, 38.1 x inl5ynhhs1c.;o z5n2n k *6zcm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as folln :vi);z8bgudv* a: dhows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measured to beh /n+nkv x, y9spbv322ry2xop $(5.1 \pm 0.1)s$ 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 quantiq8oc+j 1idk3i*+ .vpaj/xoa pty Q varies is plotted. Theory states that P should vakj.+pv qajo x/8io 3+ic 1*apdry linearly with Q.

  The length of a pencil is measured using part of a measuring tape as sh03vkr k+ xyo9)xqcavx(sj p4; own belowsrv 394xxo) xy+cjq 0k vp(;ak.

What is the length of the pencil?

  The masses and weights of different obj.r9 , hf;kh- 29fksfyeoirn-p ects are independently measured. The graph is a plot of weight versus msk,; 9 phhk.yf-frnf-2ro i9e ass 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 rectcp78 c ;/vz vsm*kopg8angular plate are measured, and the diagram shows the measured values with their uncertainties. spcvzgcm;/k p788*v o

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 perclf*jdas4em * 1entage uncertainty of 8%. The radius of the sphere is 5.7 ± 0.1 cm. What is the pee*s *dlmjfa1 4rcentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has showi94a/ oipt0jqcoaglp8 1r*)jn 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 o2zmoxw 1cb 1v+16(t,, ftux-htxwokmeasure the acceleration due to gravity produces the followibm xk, x,w116c+o-2zwtovu of hx(t1tng 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 measurement has - tfqn.z8 t/qxan uncertain8 .zxftnqt-/q ty of $0.5 \mathrm{~cm} .$

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 mass wjvmwa vh 6r 7h2a,76o$(2.0 \pm 0.1) \mathrm{kg}$, 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 followiuw+xs7wt+ v:wt/zkgpa*1 o (ng- g 7hong statements:g+ngouv wx-wats/1 o*g 7zh7w+p( kt is correct?

  A student measures a length five times. All o;h ry .q p,vx f4bb0jo1oep68i,blu x(f 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 ± 0.4 cm long is cut fb*h w n;h(uinot0) s+vrom a longer piece that is 12.6 ± 0.6 cm0swunht+(*v ;n)oib h long. 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 ± 0.7 N is appliex9k db 1j jw5(xaf(dc,d to a mass of 2.0 ± 0.04 kg, causing it to acceleratej1 xb fj(dkx,c(5 9daw. 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 wire is measured to be ;xb 9fkr17oj yi+-yhw m 3t.iygzv:d- 10.0 ± 1.8 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) %