Which of the following could be a unit of 4.8 qgczpqi; oa0z hc0v k2jgp0 2il5 pb)u5hopower?

  By approximately how many powe 6i r2nkz-9p,jd-cek mrs of ten is the height of a human larger than thei-k9-nrkd z 62pcjm,e height of a grain of sand?

  What is the value of a34al:zqsy/ t x+0udgw:po0 nk+e0 jj$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a x oxs6h.kvhn-s iucpib77:)9fundamental unit in the SI system?

  The volume of the Earth is appro:g4tgaw 9u) 7j)cg;+ zivs 5qwawme+j ximately $10^{12} \mathrm{~km}^3$ 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 nearsct1i-)n6 hp aest order of magnitude, the number of heartbeats of an average adult human in a dapn iht)-16sac y.

  Which of the following contains one fundamental unit and one deri)l-kngkaoy/lbrw jq4( z7,x0 ved unit?

  If A=10.0 and B=0.50, which calculation willm4)dl5 sgh)yr give the answer with the most decimal plahsr4 mgd5yl))ces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the orde9vb6v ze. bqh+r of magnitude of the ratio between the mass of the car to that of the mous.b+ ze6hqb9v ve?

  A train travels $65.5 \pm 0.6$ meters in $14.484 \pm 0.06$ 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 sidesnrs4 3kmnbu 9r 0ukf8j,,g1v 1c.ej sq of $2.96 \mathrm{~m}$. Each side is measured with an uncertainty of $1.7 \%$. 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 bafoo0ids/wcczp;k.. 2 w97ekbb6s-nkse 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 $7.4 \%$ and $h$ is measured to $2 \%$, 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 metr(rl;z0 g3(*vwpyck ro e rule that is graduated in milly3wl (vrkr;0ocz g*p(imetres, 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 $4.5 \% $ uncertainty in $V$ and a $1.0 \%$ 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 measu+y97ng-(a zwqe5d laqqg s,zw)+cy q*red to be $22.0 \pm 0.8 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $4.6 \%$, 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 ow )ib; lbj c;38eeyx4y 9bes*a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differeny ypgp80k2ex) ce ($V$) across a resistor is measured with a digital voltmeter to be $0.38 \; V$ . 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 the following c; 3+5/ v jiv)mh1p)syz3x/nyqooev uban be reduced?1)j mn5ypo/ o v/;+h yvsq) b3ize3vux

  A student measures a distance four times. The rea278 un,d ev;dm*ednuudings are 37.8 cm, 37.9 cm, 38.1 cmd72e vu;,enun8d*du m, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as follows: 8ip(jkab z3c e* uka,kv(j9 b5$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and r smx-zkk+9q7wcb/ 3fhe1m* bb, 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 Psl s 982f+sawl as quantity Q varies is plotted. Theory states that P sho+ ssa9sfwl2l 8uld vary linearly with Q.

  The length of a pencil is measured using part of a measuric(y:z48k;mduj fk)ieng tape as shown below. 4kjzy8u :me;cikf()d

What is the length of the pencil?

  The masses and weighn/bn;n t0er. mts of different objects are independently measured. The graph is a /;nn n0.erm btplot 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 rectangular plate are measured, and 5hqtzir,vhr3s (l2 p*the diagram shows the measured va( svh5lh 3*zpi trq2,rlues 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 meau+g65 *mr smfcd10bprsured with percentage uncertainty of 6%. The radius of51gm+br dprfs6c0* m u the sphere is 3.3 ± 0.1 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 shownb(mbnp*dvi5 hf/o :7f 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 acceleraq d(z*+a3pm1 han2 k)nlq pkb7tion due to gravity produces the follown) zh lan1a(k3*pqbp d7 k+qm2ing 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 m/.g 3cf4.hkrj cw 34iza pfuy*p(f6hzeasurement has an uncertainty ofa.f( h gpp 4 3ifycu4ckz *.f3w/hzjr6 $0.5 \mathrm{~cm} .$

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 masx*i) jw) pc2jysn q;c4s $(2.0 \pm 0.1) \mathrm{kg}$, 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 zero offset error. Which of the following stat6ctwtri2m3+9z n4 z6zm/fnsremeftn/mci z3m 69 zrnzt24rsw6 +nts is correct?

  A student measures a length five times. All of therj8o r1b/jo-h 0 n8xul 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 c;:sj ,-l5t s cbykdpdq(8:mw tm long is cut from a longer piece that is 12.6 ± 0.5 cm long. How long is the remaining piece of str8tsd: -lbkq,; sj: yc(dpm5wting?

  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 $\pm 7 \%$. 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 ± 0.5 Na+jl wurfaz7u.w q4: 9m2 o9hf is applied to a mass of 2.0 ± 0.06 kg, causing it to accelerate. What is the pe+. u49jufoal92wz mqra:w hf7rcentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.5 fdk26qkt.e7 u 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) %