Which of the following could bxnuad :r8+jti/a r5c 9e a unit of power?

  By approximately how many powersd9mxtt a 46t yqw :u;d/jo-l0n of ten is the height of a human larger than the heightujt0;/n wlmt:t - q4ad 9dyx6o of a grain of sand?

  What is the value ofwanv*6n vz;82 /hlrskmm oqd4.sa8 * l $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit im mvpw;2:kh/f n the SI system?

  The volume of the Earth is approximatels/- e nqido,l;y $10^{12} \mathrm{~km}^3$ 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 ma al09 nj,0cy(n27exo1wlzfo 0 qxl2udgnitude, the number of heartbeats of an average adult human in a zoo00,q1yl lfd a(nw2u79nxcxe2l 0j day.

  Which of the following contains on 3 fyilp.pwv9b8krs4ls2zh)fk: -ll(e fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation r ;p1hh s89knkwill give the answer with the most decimp9kkhs8 1hr; nal places?

  A car has a mass of 1000kg. di0p p 1jylss4 ,dpo0 k49,tak;dcee*A mouse has a mass of 10g. What is the order of magnitude of the ratio between thl4, ks a0 d49s dp,o*kpp10d;ej etycie mass of the car to that of the mouse?

  A train travels $90.3 \pm 0.2$ meters in $11.526 \pm 0.07$ 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 ad*)q 5(zs v4jsst na.b cube with sides of $3.77 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. 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 side 9/r-xwjtk7sc*qb ci2/; baj n$x$ 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 $1 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measurg3q70:u nugk q/jjl c5ed using part of a metre rule that is graduated in millimegu3q7c0 5glqj/:nju ktres, 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 $5.4 \% $ uncertainty in $V$ and a $1.3 \%$ 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 is measured to bey;2:isnzhc gzlsb6iy xj 2*3r4 a2b+x $16.6 \pm 1.8 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $2.7 \%$, 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 estimated as voa3.gmx*3v y5-xr- 1 nvp idh$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. 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 differencdiggd2q tf*0dm 08)r7at k*2 w4 (tcexby0np oe ($V$) across a resistor is measured with a digital voltmeter to be $0.58 \; V$ . 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 measurementsioo9lxf w;0o6f(w hesm,.as3 of the same quantity which of the following can be foo w ;9o(m0wsxh fs,6ea3li.reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37. b. ncwhs7sr:kt0m5q-mv2tb2ev/ ij/ 9 cm, 38.1 cm, 38.2 cm.b-sem /vr2.2 ct0 m:t5w shvb/qkinj7 What is the best estimate of this measurement?

  A student measures two lengths acejffivh;3. et kyj 7 *z+-po zb3y*o2s 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 evegn6 5p71iybl ba 1br8(ft-dgints, a and 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 quantit bqh1d2mmu q(/; ,dhpj97a twuy P as quantity Q varies is plotted. Theory states that P should v q(b,d q uhm/atpjw9 7dh;21umary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown belusabj0q p 68hn/hk9v0ow.8bjva p q9h/0uh6k 0sn

What is the length of the pencil?

  The masses and weights of different objects atzr;ueu:x xew wt(57*6mb n c:re independently measured. The graph is a plot of weight versus mass that inc;u ebx: 5zrw*6ttmuw7(x e:ncludes 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, anixe0 iys: e,g61( vrhyd the diagram shows the measured values with their uncerta 0yi6rhv1gixese:(y, inties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid sphw ose8o0.b(utgf2- oe ere is measured with percentage uncertainty of 4%. The radius of the sphere is 3.9 ± 0.4 cm. What is the percentage uncertainty in the mass -s0ow (8 bo.eugetfo 2of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thav qzl;f 7cebaa*sv; -x-7* rmjt:
$$
P=\frac{g h^2}{u^3}
$$
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 prohzq+gn8)eov)/ 7f kd8a fxgl9 duces the following results:fnda z q )h/o88kf+gv9eg7xl)
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measbnez+zpxg*8g ;v/sx3 urement has an uncertaint *vsbngx xg/8+zep3;zy 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 mass u x7w/ *:blm -yhiti 6/ymt6dh$(2.0 \pm 0.1) \mathrm{kg}$, 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 followin+s19*s svjkren68:mw i ijd;5 d nisg5g statements is corr rse5i 65gwdj1sj :*snm+si9d ;8i knvect?

  A student measures a length five diia,r;:h bc(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 ± 0.3 cm long is cut from a longer piece that ie jx(leb.c0h0qz0/x fg7f w4hs 12.6 ± 0.8 cm lon.e0fw 4xe70xqjzb lgh 0/fh(cg. 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 2 \%$. 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 ± 0.9 N is applied to a mass of 2.0 ± 0.15 kg, causr 4egtd2nbmv y oe//zss106,mf)y-dsing it to accelerate. What is the percentage uncertainty of its acceleration4ys-zs,)r2 / mmbfyo0v /dns6tg 1ee d?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is m1se g rr+fo a8fjx-l,un,)ejz.9z an( gi4al4easured 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) %