Which of the following cvt 3 nwqvxg+ zz0yi u-j6tz802 d*o:gpould be a unit of power?

  By approximately how many powers of ten is the height of a human larger than yd1anob b8 w65dd,66 neyp ie8the height of a g bydnddy66b8,85w iea 1o6enp rain of sand?

  What is the value of m6yqx3c d;7iy$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following ish bw03i 7u,mzk a fundamental unit in the SI system?

  The volume of the Earth is appro7pal+zli i l69c t,eypu 5zb.1ximately $10^{12} \mathrm{~km}^3$ 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 an aveqlwbop e 3qfiv+-8m4gr s cka)t6)z-/rage ad+zs )ia- 4- b8geqvo3cmr/ )6kf tplqwult human in a day.

  Which of the following contains one fundamytvgyt238l) gental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with yvn3fkl92-nu/ zv 4h. c.ftzrthe most decimal placez 4vy fz/-.fl32nnkr9uht . vcs?

  A car has a mass of 1000kg. A mouse has a ma9(h.uu6 ym nnfe2m(lvss of 10g. What is the order of magnitude of the rate(9 (f .lnn6umv 2hmyuio between the mass of the car to that of the mouse?

  A train travels $95.7 \pm 0.7$ meters in $7.325 \pm 0.04$ 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 shape of a cube with si-7g+ o,awd dv abh9w;ides of $4.73 \mathrm{~m}$. Each side is measured with an uncertainty of $0.8 \%$. 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 base of sidc7gp*g/h1b k :zm uac*e $x$ 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 $3.1 \%$ 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 measm3o -t4ohz6ctx2qv3 oured using part of a metre rule that is graduated in millimetres, as shown below34cot h-xo 2zqo3v6t m.

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 $4.1 \% $ uncertainty in $V$ and a $3.0 \%$ 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 measured yv(x f+t - 8efzgdm2o banij92euu 6-9to be $14.1 \pm 0.9 \; cm$. 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 $6.8 \%$, 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 are estimatek xk/ mp0 g ml)vvxwo/ l*8,onqwpc(;(d 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 difference (mx9kj mi11zp8 $V$) across a resistor is measured with a digital voltmeter to be $0.26 \; V$ . 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 sam/ped+6 9fk*oopici o r2wl +t9e quantity which of the following can be rdreik/ *owo+cp2+ t6il9 9fpoeduced?

  A student measures a distance four times. The rcq-1+ee7 pyiaeadings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best y ee+1qi7-a cpestimate of this measurement?

  A student measures two lengths as followzdra-m fllz hx07 ,3ar+swe0 -s: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measlx-i c3 3c-ntkusr2c8 ured 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 sta nly akn-vr*/6a (b0y7 npbur;tes that bvlpk6 *-7n0n au a(nrbyy/r;P should vary linearly with Q.

  The length of a pencil is measured using part o d4q5sx.rw04 ow3kw ief a measuring tape as shown belowex 543ksw.id ww0oq 4r.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grww9tn2 f 2c:r*u itay xvc4s49apcwy2a4f rxcui9t 9 :s2*vt4wn h is a plot 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 measuwe2)m tnr8wyvw i9k /(red, and the diagram shows the measured values wim/re2w9y8vw() wtn ik th 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 solidyvy;n bzb 5kde(w.b;2 sphere is measured with percentage uncertainty of 6%. The radius of the sphere is 6.0 . zbbd;n(k5by e2y;wv± 0.2 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 sho)(qes sz e,jzsl/t4/swn 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 gravity 7jui, xuc9 t,/eygc z5produces the following result ctui/ ce ,zyujg7,59xs:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 haedo+g/d2o6 erqo wa,1s an uncertainty o+ar oedq/,1g2o 6dew 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 masr d rvvft+yt(as(5;t9s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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 offsetznhjt6p j1 ;95 z4e0gczat0ro error. Which of the following statement;jetg4z z5zo c0 aj0hnp16 rt9s is correct?

  A student measures a length five times. All of the measuj7p/qqm xf72 ybltj9)rements 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 c243rmhvt *y2epzrks i2pl76mut from a longer piece that is 12.6 ± 0.1 cm long. How long is the remainimmriys tvp47 pl22rkz 6eh3* 2ng 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 $\pm 3 \%$. 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 ± 1.4 N is applied to a mass of 2.0 ± 0.22 kg, causing it to accgh0y z)yb1n5)*n lcf nelerate. What is the percentage uncertainty of 1g )yl)y nb5znfn c0h*its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to;lb k 7 wl,uvxu/fr/ug 3s)fx3 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) %