Which of the followivoz qk.lda 2u avd2 2:qja(w41ng could be a unit of power?

  By approximately how many powers of ten is the height of a human la ,lsq zqc5y :l zou nrk;f8lnc3:r.wg9kld64-rger than the height of a grain of y-;lqw5gcdl:nz4 u r,kfllokn.r :c q386sz9 sand?

  What is the value of ju* c 3plr8ak+6db m6on72; mixcvd/l$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in thegu;cb t v qrvxk07uy,)- g74ut SI system?

  The volume of the Earth qhve7vso d lcpl7t* c(3s)10vis 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 of heartbeats of :8paq0+vmsdd an average adult human in a +pdsa8 v:q dm0day.

  Which of the following contains one fundamental unit and one derivo ;:0e bir;sweed unit?

  If A=10.0 and B=0.50, which ca mnt7v32i6r dj4g c7wllculation will give the answer with the most decimal pla 4gi7vn2 r3dj6t m7lcwces?

  A car has a mass of 100:s(z0c(dso jz0kg. A mouse has a mass of 10g. What is the order of magnitude of the rsjozs d:z(c(0 atio between the mass of the car to that of the mouse?

  A train travels $56.6 \pm 0.3$ meters in $6.681 \pm 0.03$ 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 sid p +qooxjqc-hx)v0 :f2nyyf0/es of $4.33 \mathrm{~m}$. 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 bik n w+0bpff)c:dqd+kya)6lk16) y vrase 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 $9.1 \%$ and $h$ is measured to $6 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is mead;o:/ z;d unt.hr/ kvasured using part of a metre rule that is graduated in millimeuhvt/o r.an zk;dd ;:/tres, 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 $3.1 \% $ uncertainty in $V$ and a $1.4 \%$ 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 mearcz4sr q o )/s,x(5dwylu +o0jl,gk; xsured to be $28.7 \pm 1.0 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $6.2 \%$, 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 +*3h 6fr;q:blvmgsnqwgl 41ware estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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 differee7bpy0fv sa4uu zcll1c *3esy3+5zg.nce ($V$) 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 m(-ja+fzzm.-cki2 ni d easurements of the same quantity which of the following can be c(z-fd- im.k2 jiza+n reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 38zll3/9p 8wq ng0m jg1x.1 cm, 38.2 cm. What is the nq38pz x0l9 glwgj/1mbest estimate of this measurement?

  A student measures two lengths as follows: eq98 vqy+iwd*1iim q,$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and 2 g8n gnj*tinbj3/xi) 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 stateq3xfyajers *+0fcn3wfw8 z(5 s that P should vary linearly ner5*f3w3zyfq8cw+ sxf0j(a with Q.

  The length of a pencil is measured us+vhaei a- kv82ing part of a measuring tape as shown below. k8-hve2i v+aa

What is the length of the pencil?

  The masses and weights of different objects are independently measured.1r x kexzf0q 4h2 zb(1paf5l9j The graph is a pl2hq5jrez9xl1fx1( pb0 f a4kzot 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 of a rectan q8:8d()gt3sj wn4 pcyk hqzw:gular plate are measured, and the diagram shows the measured values 4yc:jh38zqdqtswpn w k) g8:(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 percenta;i mhrsn5xyj8ycf)/l u ev4 24ge uncertainty of 7%. The radius i m4;c 28hl)en yursj y4xf/v5of the sphere is 3.6 ± 0.5 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 showro0 :s j-bjov.n 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 ton0* megi z gg6hfsp n 7nui-gs.u4-d2+ gravity produces the follow7efpn *-dsg4guz2 gi+ gmh.i0n6snu - ing 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 uncerum0 ..dkrxohj l2 )siscn9c /+tainty of)c/ o k9ls.hd+0scmr 2nui.jx $0.5 \mathrm{~cm} .$

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 maswdys-to7a:a 3.ct +ops $(2.0 \pm 0.1) \mathrm{kg}$, 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 gnentt-o 5;s yg2ker861b 6lpsi3vb )the following statements is cort -e;sy6 6 b)nb1s85ek3piv rong 2gltrect?

  A student measures a length five times. A e8 46ahsy8bj*nql kvcw9l r8b.,qnr;ll 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 lo y6rrh-ew hy1p4 -b5fxl+ ,evhnger piece that is 12.6 ± 0.3 lp-6yhhv-b5r,1 4xrye +ewf hcm 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 $\pm 3 \%$ 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 applied to a mass of 2.0 ± 0.08 kg, causing it4wvcz*fma/-pudju4t4a t s1: to accelerate. What is the percentage unz-c4atp f4 vm*tdjw/4 1:usu acertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle lzw hq:x1t2b* of wire is measured to be 10.0 ± 1.4 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) %