Which of the following cou7,7;dbc olgegld be a unit of power?

  By approximately how many powers of ten is the height of/3pjcyjxw ulac)/h+1 a human larger than thexcjw31/ +/puh)y al jc height of a grain of sand?

  What is the value of9wzjrrb2oj 3.p*0qxel ny 9z8 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fun qz.mmb/gqxrc,.iaj -m /s,+tdamental unit in the SI system?

  The volume of the Earth/ p-tbmk 3jq)odix5fnqf50sn7k1f a)vxf *b- 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 hea9t: p x,wika5( f 2bum-fqa*i 7nq7aicrtbeats of an average adult huma -*, p7m5 kna 9(qi7aw 2qiuiaxffbtc:n in a day.

  Which of the following contains one fundamental unit dx v t-0id+/mbum nr;(and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most c+vge5lg h:9byhf 2.r decimal placey vgr9 fh:2l.e 5+ghcbs?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of magns5pqecivj m rpwn-.8h 6px 3f f82pf23itude of the ratio between the mass of the caniq3rffw2x pc 328.pph8 fpj ve6-m5sr to that of the mouse?

  A train travels $58.3 \pm 0.4$ meters in $12.324 \pm 0.07$ 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 sid v*rv;4 pb)t(hdi5mcyw29hs jes of $2.85 \mathrm{~m}$. Each side is measured with an uncertainty of $0.6 \%$. 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 o+,x 5:q hs1gup2wd(n xqlo5 cnf 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 $7.3 \%$ and $h$ is measured to $5 \%$, 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 me.d la7ye 13hxa1j4eqfy6u p2ih2tls5 tre rule that is graduated in millimetres, as shown below.4llt36 pyefi2.ue71 jas1a dqh25 hyx

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 $3.2 \% $ uncertainty in $V$ and a $1.4 \%$ 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 meag +2y5al,xw 0jejhuq/ sured to be $19.0 \pm 1.1 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $2.3 \%$, 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 q)ljst,wmb(07m b t-y are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 6dhji1 s o: .5bkxi1sn($V$) across a resistor is measured with a digital voltmeter to be $0.15 \; V$ . 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 which of the foll4vf (7hvd(a*oak tf -bowing can f( f avh-*koavtd47b(be reduced?

  A student measures ab+1z6m xmzg4997fkaye 6 q( fjfht6wt distance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. 6+fx9kz(66 h14 t 9q gmzat fwjfemy7bWhat is the best estimate of this measurement?

  A student measures two lengthsb up2zd/u n0cj8yhv(jiv3t1) 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, are measured t q6m h)rs9pqy9o 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 quantn v6o7 ;xl12 u fz:2dglos*cimity Q varies is plotted. Theory states that P should vary linearly witvnoo:2mcz1 l6isu* 2 7xf;gl dh Q.

  The length of a pencp4x9x/bu cv*g1 +x zvkil is measured using part of a measuring tape as shown below.xx+k4pv1 uc/gb*x9 zv

What is the length of the pencil?

  The masses and weights of different objectw)dy 7)xo zm)w0 c lz1 r90ejddag*1jxvzh: e4s are independently measured. The graph is a plot of lho1j)d0zdwvjw adxc ):r xy7z4)e9zem0 g1 *weight 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 a( d2 zz7kwwh/qre measured, and the diagram shows the mea( 2 zk/wzhq7dwsured 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 percentagexlrxy9 d(pzb 3)d.pi 5 uncertainty of 3%. The radiu9xp.3r (z5ydp)d ibxls of the sphere is 4.2 ± 0.3 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 s/-j,evg5sp yecq* mt (*trmq, hown 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 qq*o g-7vpje+;i (wts s4c,e*d9qlog due to gravity produces the follo*s esjq4-o7w;oq,vp +gqic(9let g* dwing 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 measures w(9zfp05a0 s8c-+lcimirzuit9 b7wment has an uncertaincr-s p0u(8fz59 bcaiiwl09it+ws zm7ty 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 massi.*xjo3e i, vf $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ 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-+m3aks, (*l g6t3ibl6zcb vt inegligible zero offset error. Which of the following statements is c,amlg (l* bk 3iic sv+tb36tz6orrect?

  A student measures a length five times. All of the measuree7xa1 /ubi30gnv vp f+ments 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(0b(jhrumki,t ogatz *+f+ p7 ± 0.4 cm long is cut from a longer piece that is 12.6 ± 0.6 cm longfbthot+ir 0*k(,zu j7 p+(agm. 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 $\pm 7 \%$. 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 ± 1.1 N, mdk dbb0):; bk/7/z;zirkb c9f g c;yie(rnk is applied to a mass of 2.0 ± 0.13 kg, causing it to accelerate. What ib0; , /rkfbz;mycc9k );i bik/de7zk :( brdgns 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 16migfy*..7e5 d en uri0.0 ± 0.9 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) %