Which of the following could be a uhx7l lvq;0h( unit of power?

  By approximately how many powr d0sy cs12a.zers of ten is the height of a human larger than the height of a grain of sz0dsya2 1rc.s and?

  What is the value of 9oip :y6qtmif(w*jp+$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamentall7.o uok71km4az h e;r unit in the SI system?

  The volume of the Earth g3mh e1/-ba*3ikq u(5 c; zh *j,odhe qaeolo5is 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 magnitude, the number o:hu g) jaq1:wwf heartbeats of an aver)1wuqa j:wh:g age adult human in a day.

  Which of the following contains one fundamental unit and one deriv 86wbqcyptag- io+flgu,6v+,ed unit?

  If A=10.0 and B=0.50, which calculation will give the answetu: v 0t1 2ui aujbrog7s3;ixio0/tj5r with the most decimisi jgooa5 30; /r utix012ub7vut t:jal places?

  A car has a mass of 1000kg. A mouse has a mass of317;s jz0b 5aq/idw4plmzyq s 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mouse?dlq1j7bz 4s/qsy apwm i53z0;

  A train travels $60.3 \pm 0.7$ meters in $10.310 \pm 0.09$ 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 shap)6ti 8 w7yr9hpn7 loche of a cube with sides of $1.94 \mathrm{~m}$. 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 squa8f:so14rf wqere base 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 $4.3 \%$ 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 graduated2w 4bxfu7tf1to0/ pd1rj nds f; /ikj4 in millimetres, as ;rf 27jpfn1u ti41t 4dx/ 0/fbdjkoswshown 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 $6.4 \% $ uncertainty in $V$ and a $3.3 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon 2 ijds5 33wdna1nw2aois measured to be $27.1 \pm 1.3 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $3.4 \%$, 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 jyu5 7x6.52jc-h d fcyhe ;hsaof a 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 differel6y: uz l7kuhygsh0;/nce ($V$) across a resistor is measured with a digital voltmeter to be $0.24 \; V$ . 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 oc3 (m1wnuzs8 if the same quantity which of the following can be r3 ncz usw81im(educed?

  A student measures a distance four timec0qh 1 -*jh 2fmawic.js. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is thw*ahmi.1chfj j c2-0 qe best estimate of this measurement?

  A student measures two length3xbp lq( 5ayv3r5 4omzs 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 measured to betn*z nqtcd*s7i2 6e7v $(5.1 \pm 0.1)s$ 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 px pszn y,a.3 gl3g4o+flotted. Theory states that P should vary linearzyf sop.l, +gn34axg3ly with Q.

  The length of a pencil is measured using part of a measuring tape as shown belowqvc liwc- ;j:tmq-jhn8- n o62.tnj j-6-ih;qcw- mq l n82cv:o

What is the length of the pencil?

  The masses and weights of difftv0roohh*gx0 z:c z :ma:hb*6erent objects are independently measured. The graph is a plot of weight versus mass that includesc*az*06 :og h:m0hovx:zh tbr 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 the diagram shz n e0 ka(6 dd yn.6xi-/actry6j3cj1oows the measured values with thecj 1 i3tx6-aey. adyd k/rjn o6n6(0czir 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 2%.xfq uk/;)3lx m+b 5xemczv*(g The radius of the sphere is 3.9 ± 0.2 cm. What is the percentage uncertainty in thv z;km+lq3 emx*/(f5xbuxc g)e mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has eqb-t)fz*doc4lvb w 030+:akhdni9f 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 due to grc3wqiaje ,uemb+ir ( :x28rw )avity produces the following resula3iwx) u(,8j:er be2iwcm+qrts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rulxthg5 la8+x6qd,b wp1er, such that each measurement has an uncertainty xbh1ax,td+wlp5 q68 gof $0.5 \mathrm{~cm} .$

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 wgi y-h9i (ilfk+5i.n-pf xn* $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ 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 statem8 zmsg 6 j:pwod /7vw0(hr+rrrents8rzmp(jwdr/:rs 0+wg ro h6v7 is correct?

  A student measures a ,0d3webfhfx / r:b. fxlength 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 ± 0.2 cm long is cut from a longer piece that is 12.6 icr)ud z .c m:t5cd080azgm.8yna s)v± 0.6 cm long.zgu amndi.m00)8 y).c8 vrc zs5: tcad 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 $\pm 5 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 ± 1.5 N is -jramjry;,vl9 iug ol..b 9))kf re3capplied to a mass of 2.0 ± 0.06 kg, causing it to accelerate. What is the percentage uncertainty of its acciycaj)ebf)r-u loj r;gl9. m3,9kv .releration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of z okv+ 8,rlkelw1( /yewire is measured to be 10.0 ± 1.3 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) %