Which of the following could be a unit xk6 m9()urqzx of power?

  By approximately how many powers of ten is the height of a human lar-8urz ,6o9leth 4mvg yger than the heio8l4get r ,9hmy -6uzvght of a grain of sand?

  What is the value of tgb; /i5.v oax$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syepl0j x2r80 aviih.8xelo1 e6stem?

  The volume of the Earth is i s efg0o 3,1z)-cuccdbozz/: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 mz/rx+: xlgn f m1xy i3q1e4nx9agnitude, the number of heartbeats of an average adult hum 9g/4izq f +xrxnl31m:xenxy1an in a day.

  Which of the following contains one fundamental unit and one derived uicpy4r)..o k)jkq-qy nit?

  If A=10.0 and B=0.50, ;efj (tg7rz1,a.a.z nwri) kvwhich calculation will give the answer with the most decimal plac;za(net j.g ,iz fkwr1).v7r aes?

  A car has a mass of 100j xhu*- ) lyn)4mp/;qo*ywulq 8j3ptg 0kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of tqp/g)j8l;y-l y3p t*juho)n4 u qxmw* he car to that of the mouse?

  A train travels $93.8 \pm 0.3$ meters in $13.592 \pm 0.04$ 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 withp-x1uhe8va9he f */yd sides of $3.50 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. 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 sy7h,rho+2 yjz ozze(, f*s+ jeide $x$ 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 $8.7 \%$ 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 usingz8:nk1xn xx *44u nm7qyb ji3o part of a metre rule that is graduated in millimetres, as sbz4 yuj1n*x3kixn:q 7m xn 4o8hown 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 $4.4 \% $ uncertainty in $V$ and a $2.8 \%$ 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 m879gglv an0m20fe zog+bgd .d easured to be $13.7 \pm 1.7 \; cm$. 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 $1.3 \%$ 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 estimated a- p0swl9j658blwe ja ks $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 /i ivcz,h0:r y 7 gq gub2:n*s(zmsp-e($V$) 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 thek v28:2hwn/yiebj s.m same quantity which of the following can vs .im2k: yjh b/2enw8be reduced?

  A student measures a distance fsl20 du zzi)a+2+qr bvour times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of+i azblzqv )+ dsur220 this measurement?

  A student measures tw*pilx mt 6uyf89pi/u)o lengths 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 event)q3s-xsf mz r8 -kk0kks, a and 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 varie9o z.nx b+p2ujs is plotted. Theory states that P should vary xojz ubpn.+29linearly with Q.

  The length of a pencil is measured using vmu +vv+ t1z8 ,dq3rvtpart of a measuring tape as shown below+81q v +um3vdzv,ttvr.

What is the length of the pencil?

  The masses and weights of different objects are indb7k/vo *k,r iw3itac),; ahmhependently measured. The graph is a plotmv,ak; oa*it)brikh hw c,73/ of 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 are mea7e ;8*ngjqexnsured, and the diagram shows the mea8 q;ge7n* jenxsured 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 546-3pinfz jhc magp8egm3t+ny,p15 o %. The radius of the sphere is 2.3 ± 0.1 cm.mzgam+p,if n4nt1c8yp53e6 jpho3- g 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 s3or(0 tzg0t;g 4ulsunhown 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 gravity *eh,jbe7p6vjs s;z i+ ov:4tz produces the following results:ei;,o e+46h7z:b v pssjz vj*t
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 m ,.w82v6mzztrtd1e bleasurement has an uncertainty t6lvbmzz e,2d w1t.8rof $0.5 \mathrm{~cm} .$

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 maszu k6-.1ez hevs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.0 \%$ 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 zerx rl-cmtm8j / ftf n8,;n3bwy7o offset error. Which of the following statements is corretnbf/c n,8x flj8t wy; 73rm-mct?

  A student measures a lenpn9nkqt (t xo))znh ) /lhu2c-gth 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 ± 0.4 cm long is cut from a long a(t)0( a didhimzkd)9er piece that is 12.6 ± 0.2 cm long. How d0ahk d(dmiitz(9)a )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 $\pm 2 \%$. 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 ± 0.7 N is applied to a mass of 2.0 ± 0.14 k1sgh rbnpt;)u(l3+ eo+ ijs 9pg, causing it to accegrpoijsp);hs 3tl9+1u b +n (elerate. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circ2;-ud qzqc4gl65o k7:mk ibwvle of wire is measured to be 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) %