Which of the following couj 9k(8e lk-wiwld be a unit of power?

  By approximately how mz-a 1 ;yq3n)pxtwfq9lany powers of ten is the height of a human larger than the;qztq 1-3f al xy)nwp9 height of a grain of sand?

  What is the value of i1t96k ggw78g idljw, $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following isuo h0d1j9;vsc a fundamental unit in the SI system?

  The volume of the Earth is approximately ++wo p d9l mww1uha5km:b,b2t$10^{12} \mathrm{~km}^3$ 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 heartbeao:nxax)0m3rvm0igo4h m7 y6zts of an average adm0)axo4mg:xy no3 vhi0z76r mult human in a day.

  Which of the following contains one fundamental unit and one derived unit? pal1/khqy 44xj./ .nxl.7luejy; fhr

  If A=10.0 and B=0.50, which calculation will .i (g t/esi2imz.f i5rgive the answer with the most decimal pl 5.sti2mfi( eiz/rg .iaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What isbf3 rzvgosrbx82:f 3a61s ma: the order of magnitude of the ratio between the mass of the car to that os1rb23s8 z m3fr::xg f6vbaaof the mouse?

  A train travels $94.3 \pm 0.4$ meters in $2.886 \pm 0.04$ 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 o u uc/us 2t is8fhekt*63wzl*5f a cube with sides of $2.49 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. 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 sidev3l57 uyf mc3p $x$ 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 $4 \%$, 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 that is grm p c;td6vx)8*lvww.e , hhmjs 4u-p.naduated in millimetres, as shown x.4,vuwj;.t*h- n 6v) cw ppm8msdelhbelow.

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 $5.0 \% $ uncertainty in $V$ and a $1.9 \%$ 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 m51y yc arlslzub;n9*u+d t7 i1easured to be $11.3 \pm 0.7 \; cm$. 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 $4.8 \%$, 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 est 0j.syzazfj qed-hgye- dc) r+81i,g0imated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 (u qbsto4t2trm1q8,x kel;*ml 050kp w$V$) across a resistor is measured with a digital voltmeter to be $0.24 \; V$ . 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 measu lra1f o68cg4zrements of the same quantity which of the following can be reduced?zc l 4fo6g8a1r

  A student measures a distance four times. The rpswr7 .p1 vq/8kcn9 xaeadings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measure scwv pk98p1qr7x/a. nment?

  A student measures two lengths au0vn:f59; +rmuvj1psxbs bq-; a vq7qs 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, are measurex0(vswi/py m0f//i;s1 -o byq x+xqxkd 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 quannj e:kj,63odo tity Q varies is plotted. Theory states that P should vary 3: ojnedoj6 ,klinearly with Q.

  The length of a pencil is measured u).u(ge b8)je tdffnuoi)i 12using part of a measuring tape as shown below)b8o(e1fdj iti)f 2) eunu.ug.

What is the length of the pencil?

  The masses and weights of different objects are independently m5t .,qb-qjxtp+ fk gx5e7er2teasured. The graph is a plot of weight versbq,r+fe2 5kj. eptxx-q tg t75us 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 thoske +sdmr (5g03u..97psprh ga d+rie diagram shows the measured values withms 7. ie +ok+5r0pd9.d3grgr sa s(puh 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 uncertaj9lipmjca*f3 uh 9.y 5:q:y ph 0/nwcqinty of 4%. The radius of the sphere is 2.7 ± 0.3 cm. What isc9* 3 him lhyna.:q0p9 c5pw:uj /yfqj the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has s1hb1:lnnx j9vu37g * ir/qzyshown 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 gravityp(3mz hfbdn /9 produces the followb(dz3 f nm9h/ping 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 r/jy o j2-pqg3puler, such that each measurement has an uncertainty ofyp/32 qjjgop- $0.5 \mathrm{~cm} .$

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 masslr07bf /z9.o ,eyhpzo $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.1 \%$ 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-negldrfy 8dlwe8fml9j l7,1gh: 0pxrfd4.igible zero offset error. Which of the following statementl9 d0hd 7f:r4p1,dw xe. j l8lgm8yrffs is correct?

  A student measures a length five times. All of the measurements lie beg ghxh87m09rg c* e:zutween $18.8 \mathrm{~cm}$ 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 ± 0.2 cm long is cut from a long12p5vq lkc;dd e:zl +per piece that is 12.6 ± 0.2 p+ ddvklq;51ce2 zp:l cm 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 5 \%$. 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 ± 0.19 kg, 1q4jbba.7xzmcausing it to accelerate. What is the percenta j4m7axb.b1zqge uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wi: d*vahz7yhn0,u ;wme re3 si-re is measured to be 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) %