Which of the following could be a unit of power?r0 usd+dm ) ;2n9smadpsc u,c0

  By approximately how many powers of ten is t9 +p)qz bhac.yz,oc.r he height of a human larger than the herqpcc a, b)z9o+.z .hyight of a grain of sand?

  What is the value of aylqmv44d))h2x .v)x7z emqb $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI brv1opwld9t r))i8t1 system?

  The volume of the Earth is approximatelhmhy,: dof.+or vl0o1cv.* tu y $10^{12} \mathrm{~km}^3$ 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, bmwwe;s5 lp86 the number of heartbeats of an average adult humanmps ;lb we86w5 in a day.

  Which of the following contains one fundamenta+/ - ;qr g3xtybqyimo(l unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most ad(atv*z gqhi5h/ 29e decimal plaa 9h5(g z/diq v*hta2eces?

  A car has a mass of 1000kg2 n5z+bz*fxab . A mouse has a mass of 10g. What is the order of magnitude of the ratio between the maxnz+5 b* b2fzass of the car to that of the mouse?

  A train travels $61.5 \pm 0.2$ meters in $14.341 \pm 0.03$ 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 sic-m w6 jot9 (mq2elj:vhst3k+d ww))ddes of $4.89 \mathrm{~m}$. Each side is measured with an uncertainty of $2.5 \%$. 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-+ttss6klll, fof ke2)4b2j f 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 $6.4 \%$ 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 pafkog17ts6l xys7z 2 5nrt of a metre rule that is graduated in millimetres, as ssox77tzkns2y51 6fl ghown 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 $4.0 \% $ 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 mea)+8:azt /fedcwg3 tt pd/mry (sured to be $27.8 \pm 1.1 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $3.0 \%$, 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 ;e2 mz 7ts+tf0+4jbck*f: jlk9ghkjq s $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 m00z rxxlqrp50yqx 97 ($V$) across a resistor is measured with a digital voltmeter to be $0.72 \; V$ . 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 quantyg hjl25zb8ml vl1 bz3, 2*x )ewqvmq.ity which of the following can be redu3z8bwlmx.me2b51 v q hjzg,l*)2v qylced?

  A student measures a distance four times. The readings gk8x peyumt4+ l7;ak,j)w 1luare 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this meat,71pk+euygu l jk;w) 4l x8masurement?

  A student measures two lengths f/stb 6 n)g9alsq/7jzas 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 andp4 t olck39;k ;-cyjn4zi. jmc 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 quan2evq16a(cu 2 jmf p b4c)vlj4itity Q varies is plotted. Theory states that P shouldj)v( fep1ciau2clv mjb 2q46 4 vary linearly with Q.

  The length of a pencil is mlgr (rc 0jymc8 ph()5qeasured using part of a measuring tape as shown belowcrpmyjq 0 cghr)8 (l5(.

What is the length of the pencil?

  The masses and weights of different objects are independently measured/bwqaph-ujp7:xry.dj /e/k 8. The graph isjdhyxapkrq 8: -/ we/p.ju7 b/ a plot 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 sidesz9 .kt jz0z lm,/u0)ymxg1mh-a 0vb da of a rectangular plate are measured, and the diagram shows theyk.jzdt10zaz)g,mb /m-0 0auhl xv9m measured 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 perceno *6wx hw+rxm)tage uncertainty of 7%. The radiuswhm xw)x+r6 *o of the sphere is 5.1 ± 0.2 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 haer /lpfu/19 lcs shown 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 d75rlcjm*pt d (ue to gravity produces the following resultrp7*mc lj5(dts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ea wp gbv(j+3svvdye,2+ch measurement has an uncertaintyewgspj +v 2v3 +(ydv,b 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 mas vz eun5((kaa2jtl )ksw:e4)s s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.1 \%$ 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-negligible zero offset error. Which of the following s;fcq a u)6hz .c(x*odztatementoz q;f.)cdacuzh*x6( s is correct?

  A student measures a length five times. All of the measuremen f a0dborp04c-ts 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 ± 0.3 cm long is cut from a longeb4 wn 0jlj;xt7r piece that is 12.6 ± 0.7 cm long. How l04b j;xtwjln7ong 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 appli 7kzu 4mhsm,f,ed to a mass of 2.0 ± 0.07 kg, causing it to accelerate. What is the percentage uncertai, sk7h4zfumm,nty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wijg (l f3lh 5o/xsbeq(7re 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) %