Which of the following could be ag5 19a)yysb3 uyi wuy9 unit of power?

  By approximately how many powers of ten is the height of a human-xxgi7jg w/ 59ic f9u/q0gbe j larger than the height of a grain of san xgxc/j-efgqi/90 57wbg9u jid?

  What is the value of qns)*ak 79, ly rqgl1 v rmq2q.t6 +hkag4l0us$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI synyam*i th+j7s)gv)eu 46kg/tb o kb15stem?

  The volume of the Earth ipy:1m livldky; m cl: ufz45s0b1i;*cs 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 numbec-rk( rm(4uc mr of heartbeats of an average adult humancr -cmrk(4u( m in a day.

  Which of the following contains one fundamental uni50i x2h)cgqyf0x0/dxj zk2fut and one derived unit?

  If A=10.0 and B=0.50, which calculation will gn6u:pj1d /c-uvyadi8 gb8l r/ive the answer with the most decimal plan1vu6:gdly/d -air8bp uj8 /cces?

  A car has a mass of 1000kg. A mouse has an;q82 q 6cpof(.dwkjt mass of 10g. What is the order of magnitude of the ratio between the mass of the car to tfp(qtdkwo 6;2.qjn c8hat of the mouse?

  A train travels $83.5 \pm 0.6$ meters in $12.442 \pm 0.04$ 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 wi8a u;q(/lpiku th sides of $2.73 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 4)cdey4oef i ,q0qjd+n u:6w kside $x$ 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 $8.2 \%$ and $h$ is measured to $4 \%$, 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 t 0zq;yygfwe, u: :8abbhat is graduated in myyfuzbq:;0, w g8b:ea illimetres, 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 $5.7 \% $ uncertainty in $V$ and a $2.9 \%$ 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 meas. bd/rj/j 5p2p2ra cvuured to be $16.1 \pm 1.6 \; cm$. 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 $1.4 \%$ and the uncertainty in $l$ is $5.1 \%$, 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 estimatedf0 duop4-/t6sq,m vt/qm1kd7a t/goq 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 differ(cm vcdu; r l 6vq8t84d3axxi1ence ($V$) 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 whic66q9l zzwlz8)btk u e6h of the following can be 9bz66)u q ew8kzltl z6reduced?

  A student measures a distance four times. The readings are 37.8 uyra s-e17wa.cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best es1ry-e as.aw u7timate of this measurement?

  A student measures two lengt.0plgn7h 38yait o2qhhs 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 lqvj o *uc3vv2wug +hoq7+b 5ri1bs/5and 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 quantity P as quantity Q varies is p n5u+/bvh0dadc n37eb q:;fh/elsct8lotted. Theory states that P should vary linearln 8h;ab/ tc+fl7ucqde ed: v3 /5snb0hy with Q.

  The length of a pencil is measured using part of a meas k. :orthni llz:979 q3b:aiohuring tape as shown belowo9:7h qi:a lkn b oh9zr.it:l3.

What is the length of the pencil?

  The masses and weights of different objects are independently meas yssmrfi1,u53l; 5ogzured. The graph is a plot of wefz5 3mu,ri sg5o1ly; sight 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 mee8knk o 1z.j)oasured, and the diagram shows the meas jeoz.o) k81knured 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 4%. Tpri ,5s1wi 1kkhe rakrswk15, ip 1idius of the sphere is 4.2 ± 0.5 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 s8cglkma 4w/ g4xc.f,a :z ld3lhown 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 gr:r6buw nr (u: a/o4ow3*dawh* wuu ;pqavity produces the follow3ubqah*r(dw :: urw; u6owo*4/ pa nuwing 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 e g790dx)euibyb s9 4vjnnjnh4u : +g0n:8oxqfach measurement has an uncertain8 sx uuni79jgxb)4e:hf0g b9n4+n: voq y0 njdty 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 ;t z 4auhzoc2vu3v +z0-b(ctpwk w.+c$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 oy z)* 0 da,lhnsmw2f;hf the following stateme 0mhalh) z;*2 y,snwdfnts is correct?

  A student measures a length five times. All of the measurements lie b a ure +/k4rj( gz8lju3ls;w;setween $18.8 \mathrm{~cm}$ 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 from a longp(a)te+q-j es i5 0zqser piece that is 12.6 ± 0.7 cm long. How long is the rest+qaz(i0)sj 5 e -epqmaining 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 $\pm 3 \%$ 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 3vk rocgh+,3a to a mass of 2.0 ± 0.18 kg, causing it to accelerate. What is the percentage uncertainty ofgca3krv ho,+3 its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wird kzb6p hh3x53 h7,ppie is measured to be 10.0 ± 2.0 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) %