Which of the following could be a unit of-kwh.b w60;jm2tajxy /blv:b power?

  By approximately how many powers of ten is the height of a hx zcu,sbrv -4wg ;-u2puman larger than the height of a grain of sand?;sxbru2 g-,v -u czpw4

  What is the value of ; p*t7iceg gq4+wcsq)bddl0 6 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in qvis:y*h6r- 1ry7rb 8rt /r rkthe SI system?

  The volume of the Earth is approxim.2;uiv7c j* km pmhu/t jq5vg2ately $10^{12} \mathrm{~km}^3$ 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 m(z*r6n5t7ta me d:k xof an average adul5nk:ttd7 a ez*r6mm x(t human in a day.

  Which of the following contains one fundamental unit and on)9l v (-uslmpqys6/pve derived unit?

  If A=10.0 and B=0.50, which calculation will give the)swx6xdgs k 2sz nf0;4 answer with the most decimal pla)gk0ds fzx4sn;2 x ws6ces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What iuhcwg. p c4) 6.zjjny6s the order of magnitude of the ratio between the 6zj)6nyhp 4.juc.cgw mass of the car to that of the mouse?

  A train travels $46.4 \pm 0.4$ meters in $10.785 \pm 0.07$ 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 cube with;4x4h: xd,velgr o;a5k hen h0qez:z+ sides of $2.75 \mathrm{~m}$. Each side is measured with an uncertainty of $1.5 \%$. 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 s,iylqa i;/;r xide $x$ 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 $9.2 \%$ 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 klc3c:87w fjrs8x .+ryvh p c1rule that is graduated in millimetres, a:kx.7cshwc r 1+8 3pj8yv rcfls 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 $3.8 \% $ uncertainty in $V$ and a $3.0 \%$ 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 meaaa2s2soixh4b liu7a 2 3k2d0nsured to be $20.0 \pm 0.5 \; cm$. 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 $0.7 \%$ and the uncertainty in $l$ is $5.6 \%$, 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 estimatev ffhw2s5)a mjd/:u3 dd as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 ()frp1q1u2nni z2 ,esvaop. 6g$V$) across a resistor is measured with a digital voltmeter to be $0.34 \; V$ . 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 sameuoo*w:0io4 gd-/4eod( q lzfz quantity which of the following can be o -:4liz*d efqgo0 /o4uzdo(w reduced?

  A student measures a distance four times. The readings are 37.8 cmpd iwtkics/)wy(u5u:e 2om8:c9-egz e4us* v , 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measu2(vzso:me:see-/9cwucwui u i)8gdp 4*y5kt rement?

  A student measures two lengths as followst/gwjmjq.-cd4pnx8d * olf9 esa -t;3: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measm -9ivilw0zk2ured 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 quanti o 7rcn97pl0ooty Q varies is plotted. Theory states that P should vary linn77o 9r0 olcpoearly with Q.

  The length of a pencil is measured using part of a 1gmtlbyr9zdre / a;*6measuring tape as shown below.ram lde bz6;ry9*g1t/

What is the length of the pencil?

  The masses and weights of different objects are indepen 5 /4r*mxvh3xh+zlu vxdently measured. The graph is a plot of weight versus mass that includz*xh/5r3 v+ ux vhxl4mes 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, ag/4 63k; wwa .fqjlq:b.hulfgnd the diagram shows the measured values with their uncertai3 ;fggl q6ulw kabf.wj.h:q4/nties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid sph1x sqc i9d)n 9n abne/cad r9(1-vi4vwere is measured with percentage uncertainty of 3%. The radius of the sphere is 4.4 ± 0.3 cm. What is the percentage uncertainty in the mass of the sph1nnxs 1di a/c994vna ve q-()9id wrcbere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thatkhvjclm8; - n+:
$$
P=\frac{g h^2}{u^3}
$$
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 gravity produces the fo2 ddwzplvb 1),n l:e5kllo 5zkld2wvd :)epl ,n1bwing 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 th kwv+ +waah-r-at each measurement has an uncertainty of w-a -++varkhw$0.5 \mathrm{~cm} .$

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 masss o:h) blb:dlb l4cm1x,yw.+p $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.9 \%$ 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-negligible zero offbx)cg tjjnmcw8m -49-set error. Which of the following statements is corjmbjmgc8 x--n c4w9t) rect?

  A student measures a ljg zek40 chs0(yfh0e 2 quei0;ength five times. All of 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 ) /b//kceg wda± 0.4 cm long is cut from a longer piece that is 12.6 ± 0.7 cm long. How long is the remaining piece)d//g kwca/b e 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 $\pm 4 \%$. 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. oha9 n8d)x,am-qzb 2f2 N is applied to a mass of 2.0 ± 0.03 kg, causing it to accelerate. What is the percentage uncerta9)dfqah 8,b2azx n-ominty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to beky(zjbqz9 w f+p)n jnev, a99zsg2a:+ 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) %