Which of the following co m.qm y)hq:ug,0s )b:pjjge 2kuld be a unit of power?

  By approximately how m18j ,-ybhnm6jy auh.x any powers of ten is the height of a human larger than the height of a grain of sayj-1 nhu.b,y 6j x8mhand?

  What is the value ofh-w onbxzbs,o-g.e h5 a 486lp $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a z bdinw782d1wi.zqj 4fundamental unit in the SI system?

  The volume of the Earth is appog* ai1x2j1atroximately $10^{12} \mathrm{~km}^3$ 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 numbet8c7tpl9f6 e w 5st,jdr of heartbeats of an average adult hu p tlw c76dfejt,598tsman in a day.

  Which of the followins rqr8jxwll:-;b2a2g t 6m)fznti (-og contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50 lyx v3s-x3 3qgq:konx4 sj74v, which calculation will give the answer with the most decimal plac vg vs 3qly x:34-nkqxo7xs43jes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. rw65p2o9w+v, +cowxs :u+qekkuja 0x What is the order of magnitude of the ratio between the mass of the car to thawx:5uo+ xw6+,joua vqekkrps9 2+cw0t of the mouse?

  A train travels $83.0 \pm 0.6$ meters in $10.768 \pm 0.04$ 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 shap1 cr/v(ffa5hspmv *3 ke of a cube with sides of $3.09 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 b/rb-1kzr lvh (ase of 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 $8.8 \%$ 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 using part of a metre rule that is gradua4 iy1tii 1i t)rrv5e3(o uwcq:ted in millimetresi :)iituoi1yr 3wt54qc(1er v, 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 $4.4 \% $ uncertainty in $V$ and a $1.6 \%$ 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 id wqa,ojp(d q6 6;ajz65y+mk ms measured to be $18.9 \pm 1.7 \; cm$. 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 $0.5 \%$ and the uncertainty in $l$ is $2.4 \%$, 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 a room arewt77lri .9 odfuzmq7 465ee pf estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differencef:r(:i mfnef* ($V$) across a resistor is measured with a digital voltmeter to be $0.11 \; V$ . 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 4mf1zps8vs 3j the following can be redf s8js3 vzp41muced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 38. y0g+sl ws) ;fvws7ry 1*jjco/z8t6 cd1 cm, 38.2 cm. Ws87o 0;zw)j s 1l6+gct/rjdsc f* vyywhat is the best estimate of this measurement?

  A student measures two lvn) 1j b6utmvejrb0kd996v,fkyt8 n )engths 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 measret45sxy do30aq 2 5jqured 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 quanw7v+w g jqt *q:3/iuyhtity Q varies is plotted. Theory states that P should vary linearly wig*t3yq + whw/qiju v7:th Q.

  The length of a pencil is measured using part oepv+ +rfu m0lvz+lt; 8bh9xc +f a measuring tape as shown below.f+cthb +;xvp+ru9+8l 0 lvzme

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grapmxng 2tdt)c4/h is a plot of weight versus mass tha /t 4dtmxng)2ct 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 measured, and t e ,-*cm fmvqihb952jghe diagram shows the measured values witqjcv,egbi2 fm9 m*5h-h 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 4%. Tm6i ag1.a5l tp;;we zghe radius of the sphere is 4.3 ± 0.3 cm. What is the percenta6g;51 epmi.aw za; lgtge uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown than6s6 qcd+ih 3yt:
$$
P=\frac{g h^2}{u^3}
$$
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 )jgu83xacxi+s oi* 3 qgravity produces the followius+8 qx 3)j oxc*gi3aing 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 measurement has an uncer-hv0dv 2e( o30(msatvj.oeattain(oohtd 0a(e3t- vvv e.2mj as0ty 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 mas0r2 +(xn3 1vbgrsct zhs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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 azw s*jlg6 d(*error. Which of the following stateme da6w sgz*(lj*nts is correct?

  A student measures a length five2 ndp)a7aeac y,xg+1airo :,f 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 longer piece (.on0h9vr .usq vte-vthat is 12.6 ± 0.4 o0 eust.vn. r-qh(vv9cm long. 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 $\pm 4 \%$ 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 ± 0.1 N is applied to a mass of 2.0 ± jq+s;-hk7k (ddei or37dqd. p4ohgs /0.18 kg, causing it to accelerated idk hs+37/oqr d;j7kgh- qs. odp(e4. What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wiree *,j7jnxz k(a 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) %