Which of the following could w)k1mda-r uz6 be a unit of power?

  By approximately how many powers of ten is the heigm-eh h bydso84aafw ,pb;l 6a86 *u.zeht of a human larger than the height ohwzeyh, a laab6 -;p88udom*se4 bf.6f a grain of sand?

  What is the value of6qs250rq:dmp es dj:a $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the Syg; af 36;ploou/ps+nI system?

  The volume of the Earth is approximat3bx3bvswd7t 5ely $10^{12} \mathrm{~km}^3$ 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 opu)qdke )c3 g if+ju8-rder of magnitude, the number of heartbeats of an average adult human in a day) ifj c+pgd)e8-uq3 ku.

  Which of the following contains one fundamental unit and one deus :;we3tjm(l db)mk* rived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decimng8i)o6n fe te78njp n222uhlalt 6ugf72 iep )nhj28nl8oen2n places?

  A car has a mass of 1000kg. A mouselupmoi++3n sq01wgr0 has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the pn iso wq0lg0u1 mr+3+mouse?

  A train travels $88.0 \pm 0.4$ meters in $6.471 \pm 0.04$ 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 shapmjfs90s5qrd; qa;s haj,j 5;he of a cube with sides of $3.79 \mathrm{~m}$. 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 of siqhqqq+t (bx7*av a47ode $x$ 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 $5.9 \%$ and $h$ is measured to $3 \%$, 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 gradu71 nio:lwv s2dated in millimetres, as shown bew7n2 l:do1v silow.

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 $5.6 \% $ 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 4+iz mco)kubuc ;m8z/v;mwu 7u p+e5iis measured to be $13.3 \pm 1.7 \; cm$. 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 $5.4 \%$, 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 odz43;x 2g upca room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 12 \%$. 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 differencx ,rbchng*6 qvp39na( e ($V$) across a resistor is measured with a digital voltmeter to be $0.81 \; V$ . 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 o (yg2v;,sa uh- ny2sylf the following can be reduced - ssyu,y2lyh;vn2 ga(?

  A student measures a distb:mhx zjqo(:f4+d,dkw 5 2yrx ance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the kr4d5 m(wy:+hjz xdx ,bfq2: obest estimate of this measurement?

  A student measures two lengthsc m.3+czbl0 siq lu2h* 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 d2 vu8asewky +:g:v2mmeasured 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 varies is plotted. Theory 7vn,4nm r+zge states that P sho 4znnr7 ,+emvguld vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shos )zthf v.*why 37vvy3wn below3 v37v)tvhhy y*.zsfw .

What is the length of the pencil?

  The masses and weight2dzu/dn 6* nfh*ocr3cs of different objects are independently measured. The graph nzfn/r2 *d 6cchou 3*dis 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 sides or1 x ib wnau3ksu-q)636*ehrsf a rectangular plate are measured, and the diagram shows the measured values with their uncertainties.e qu*63i)1hw6subk3xr na-sr

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 mhw9b )t 9w 6gln(iyw,beasured with percentage uncertainty of 1%. The radius of the sphere is 3.6 ± 0.blwh)n9gb (9,w tw i6y4 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 shown that: mcjr3+*z*m65n fw e/avly, re
$$
P=\frac{g h^2}{u^3}
$$
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 produc uy ;*+uu 6ylmv h3g44dd1pwydes the following results:u+d pu4y*; wymd d 4316vluhyg
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, such9ubavm*d 2qw2ic w/ s:mic )-j that each measurement has an uncertainty of m2ics v2uq bwam*-i/w:jdc) 9 $0.5 \mathrm{~cm} .$

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 mass g;kecz xt22c 7$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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 zerw ;sc sin.gcp xv85p,ac*x dcb* se.9:o offset error. Which of the following statements ips,:cgn ab* 9vcssci* ;x..edxp8cw5s correct?

  A student measures a length five times. All of the measureme,zr3-+ax 1oonufb 8otnts 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 lo6 rh:y:ap3r06bx sf+wsa(h jz nger piece that is 12.6 ± 0.1 cm long. How long is the remaining piece of syr6azr3 h: sf(x+j6wpsb0 h:atring?

  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 $\pm 3 \%$. 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 ± 0.8 N is applied to a mass of 2.0 ± 0.16 kg, cau4qn 3rga)e firbd -z.;sing it to accelerate. What is the perg z;3dfn4-)qbi.aer rcentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measmsr9za,3r oy 1xgq +ye uw5x8hg7mnpa2y6t 87ured to be 10.0 ± 2.4 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) %