Which of the followiavvj xf7-5smbbc7. e n *yaimu0460qnng could be a unit of power?

  By approximately how many powers of ten is the height gw)l1wg ;esc .o8)sgukh:4auof a human larger than the h1:w48)ls;go ku uas w)eh.g gceight of a grain of sand?

  What is the value of hfdo.+ jp/-2qrv2osp $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following (liaqt j+dw/0tuz2 7b a23fwx2ja 1awis a fundamental unit in the SI system?

  The volume of the Earth is apprn1j7i01eh*v2jtdg 2d v e3o groximately $10^{12} \mathrm{~km}^3$ 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 l(6/8ivnjzj enumber of heartbeats of an average adult human in a djvil68zj/( en ay.

  Which of the following contains one fundamental unit and one d3 cxcj/ss;06f x azk2,nz7;l*hbtr s terived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decim:h9tx ;ghwn 23l xyzrne* t3y+al33ewg:ztthn+ * yhyrnxl2 ;9x places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. pe9 sakgig 2bs6. 7n,fWhat is the order of magnitude of the ratio between the mass of the car to that of t fkbn,27a6gp9 isesg.he mouse?

  A train travels $39.1 \pm 0.6$ meters in $12.900 \pm 0.06$ 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 sides offe )(6xy8t b,rav0 czm $4.95 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. 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 side +)lr) wcvx;lw9hh gj *$x$ 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 $4.9 \%$ and $h$ is measured to $1 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured usin-whbp y i9*; pa,eyma4g part of a metre rule that is graduated in miha 9pya 4mipwy;-be* ,llimetres, as 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 $4.0 \% $ uncertainty in $V$ and a $2.3 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballkv(70k7zpeq 9 ees9xh/z xd,zoon is measured to be $16.2 \pm 1.0 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $3.7 \%$, 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 ij()hdofy a5* room 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 differem3wan8pu*z .6h gig177fig x fnce ($V$) across a resistor is measured with a digital voltmeter to be $0.10 \; V$ . 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 quantk2rgvma)/u 0uh** goaqjl; t/j dp5b0ity which of the following can be r; g /atj*jhv m0) *rup2 d/g5kouaqbl0educed?

  A student measures a dy4ft)i-)hr ygistance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. W)g t)ryy fh4-ihat is the best estimate of this measurement?

  A student measures two lengths as follo/10 cx tsf2nggws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events,2e6a, w8*h v6; o)1 gg( 0peccrulouhqf7iwro 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 varies is plotted. Theory state. a5sbte) ayao 25mr./i-b+n *ez avi78quema s that P sbsy5e au*7irt aqa/ e8 imn+.e.ov2a5)b- zmahould vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape asly yatskogdd*m f ( ul5p 6wbq/,z37(+ shown below3 l f/ykozutmy5+sdlw(6q( *g,ba7p d .

What is the length of the pencil?

  The masses and weights o 6 x;lf7e*srcaiahhl/ ,im9z/ f different objects are independently measured. The graph is a plot of weight versus mass 6e /hzcla7 ;arx* 9ishl/im,fthat 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 rectan9lqh: ;;vxr pwgular plate are measured, and the diagram shows the measured w x;l:9 qphv;rvalues 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 sphh x(t7 qga)d2eere is measured with percentage uncertainty of 2%. The radius of the sphere is 3.8 ± 0.1 cm. What is the percentage uncertainty in the mass of the sphetq xe)7hd( ga2re?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shqtuwk 8v6n- bhc;ze- +own 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 , *yh-xa h fv8sy0isvfdd9*x+the acceleration due to gravity produces the following ressdxya f*,vh d+-f h*s908vi yxults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 h wn6.y/s:t0mw xmmp )measurement has an uncertainty ofntymm:0.)sw/m6 h xpw $0.5 \mathrm{~cm} .$

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 mas69;zn:r2ivh4 uwfnx :a n 1uhos $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.2 \%$ 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-(gf-, zp goik xqcid1,++ frz statements c-g,zq,( ro+1i + dx-fg fzkipis correct?

  A student measures a length five t(any o,izqge1 13frb8imes. 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 longer piece that is 12u:eg g ok9-r ga/a,8pg.6 ± 0.3 cm long. How long is the remaining piece of s,u-goge89kr/g: gaa ptring?

  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 $\pm 5 \%$. 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 ± 0.5 N is applie)ri)frz r +l3r3,icrjd to a mass of 2.0 ± 0.02 kg, causing it to accelerate. What is the percentage unri),frr3 i+r3l)rzj ccertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wir602zletg mq y3lt)clf3q7i/ je is measured to be 10.0 ± 0.5 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) %