Which of the following cr-7+sflypu-p sz:q *hould be a unit of power?

  By approximately how many powers of ten is the height of a human larger than t5oqf9i3jdu55p xw(b hhe height of a gra 55pwqh 35j9x b(ofiduin of sand?

  What is the value of fnpu6l:(85ilp h 2w aq:a/tnc$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following2ucu8vys:/ qwq l6v0w is a fundamental unit in the SI system?

  The volume of the Eart15xza t2 j.8 nflx0iwrh is 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 num** k ikobnu:+hr8nzwz7v).p qber of heartbeats of an average adult human i*7v.zkko : 8nwq)rn*+ hiupzbn a day.

  Which of the following contains one fundamental unit andf +yv8vl,zrf. u e62m8wn,bpw0xae6d one derived unit?

  If A=10.0 and B=0.50, whichou d3uuvpr 1g0p5xj:6 calculation will give the answer with the most decimal p6ur0pdj:p g x5 ou31vulaces?

  A car has a mass of 1000e4y3 b *sk4kfbdtr+i3ckz;e p)m:gq4kg. A mouse has a mass of 10g. What is the order of magnitude rk i:;4ekf4mezb tp k 3b)3s c4qg+y*dof the ratio between the mass of the car to that of the mouse?

  A train travels $59.0 \pm 0.5$ meters in $8.151 \pm 0.07$ 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 side(ayr 3l6wl9 m uh4nvg6s of $2.12 \mathrm{~m}$. Each side is measured with an uncertainty of $1.5 \%$. 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 sita; ipbjx45 elg9 ckn6u5fo( .de $x$ 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 $5.0 \%$ 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 usip8:lx.nuv - p. p ytmz;qe.dmf, pfxk3*di +e;ng part of a metre rule that is graduated in millimetres, as shown d:3f;ze+ueyxifnk. pp.p* m ,q.l;x vt p8m- dbelow.

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 $4.6 \% $ uncertainty in $V$ and a $2.9 \%$ 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 measured to bedkahxg 29 f.y4 $27.2 \pm 1.1 \; cm$. 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 $3.6 \%$, 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 (*u13r8) yjrjlvxx;f l h oj9wfu, (yra room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 difference 6ra3 )wpm6e xr($V$) across a resistor is measured with a digital voltmeter to be $0.69 \; V$ . 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 follow f;rwdg)ce;ss9f 1sk*y x++d 7p w+lcoing can be res + fl er;p 1d)gf*y wk+swo;c9s7dcx+duced?

  A student measures a distance four times. The readings are 86(qlwm, 9hit uw)nx 2nbx b0l37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurmibn9 )(,wh8w2l06qxnx lutbement?

  A student measures two lengths as8epk *:.mqlhy 52j xm0omu4b h 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 qn74 +kcqp(v mmeasured 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 varies0qo,g1n1utf f is plotted. Theory states that P should vary linearly qt g1nuo1f ,0fwith Q.

  The length of a pencil is mg -uc3p e8c.er2zqjr *easured using part of a measuring tape as shown below.j.3 ece 2cg8*qrr-pz u

What is the length of the pencil?

  The masses and weights of diffemc +kl+9p ,lbq1kvm5*pgch5lrent objects are independently measured. The graph is a p 1*c9kqlbh+,mlvpk+m5 cp 5gllot 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 sifk-c,37/ sfe aafg i:pdes of a rectangular plate are measured, and the diagram shows the ff- gfke,3sp7: aia/ cmeasured values 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 meas oa5 1n3,j8 mmum jgx108t6ggx2al ltwured with percentage uncertainty of 5%. The radius of the sphere is 2.4 ± 0.5 cm. What i1ot x,wjl1xj a683tnu0m 2mlgam 85g gs the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sh6+teqpnb;0qtn1t vn; 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 the acxoxi/x cik c:78;, pcrceleration due to gravity produces the follo i/cci xkor8:;cp7,xx wing 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 th ti 4ha/+p qssqw1uf4q*: ra;xat each measurement has an uncertainty /; uq*4xaw sair1:fspt4qh+qof $0.5 \mathrm{~cm} .$

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 n vsy9h-r(f 1s$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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 error. Which of the follii ;4nmt53s ltl:dj q;6d s0pyowing statements is corre;mpt:;ys6d 53d qi04tnjisllct?

  A student measures a length five times. All of the measurements lie be-c 3jw(c1li: ufo,g oetween $18.8 \mathrm{~cm}$ 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 frn apy.;)9cond1ng h+xom a longer piece that is 12.6 ± 0.7 cm long. How long is the remaining pien x+; cno1ny9 ah)dg.pce 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 $\pm 10 \%$. 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 ± 0.11 kg, causing ivdr1+/tqc: nld hr. sbn e,,0g:;ekq pt to accelerate. What is the percen+r1,cnv ,ehsebdgrp/lk q . t;0dq::ntage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measwbrd +6h3lo 0fured to be 10.0 ± 0.9 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) %