Which of the following c,xp;:hhzh ioc r 2p2; 2rt 1k;zhkij6sould be a unit of power?

  By approximately how many powers of ten is the height of a human larger tg:sq z.6-u ,li*3g4e jo kk;h5ohikbbhan the height of abu ;z:h-k 5slj36ok,oh*4.gikegqb i grain of sand?

  What is the value offp zxmd37ri0 xo8 c,.vg*r:uc $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followinuaaiiu2m;4ygu q - c(h/9h vf y*a/5n8vbgnq4g is a fundamental unit in the SI system?

  The volume of the Earth is approximately lwg 1.hnauu ) 76yt/di$10^{12} \mathrm{~km}^3$ 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 min9n*(g q wiv. kh c3k4q )9t6g -oednagl9v:heartbeats of an average adult human in a :d3egiv n9qm-wo( a gntk4vcgl ).9k*h69 qni day.

  Which of the following contdvp5,kq3ga5l v c *;plains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, whichouaf,2o ulec0lr8 c-dd: u::u calculation will give the answer with the most decimal : ud:lrl:-0 fc,u u8ceoda2o uplaces?

  A car has a mass of 1000kg. A mouse has pxm5cpby -v.fb21 q+ zop g7s,a mass of 10g. What is the order of magnitude of the ratio 5y7v+.pox g 1 sp,bcmbfp q-z2between the mass of the car to that of the mouse?

  A train travels $69.1 \pm 0.2$ meters in $8.604 \pm 0.04$ 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 swk x91uhc n//w rd8)fiides of $3.51 \mathrm{~m}$. Each side is measured with an uncertainty of $2.5 \%$. 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 squa5 dfewr6nd.i) re base 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 $3.3 \%$ 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 measu5ez anh l/7/ukred using part of a metre rule that is graduated in millimetres, lzn/ek/h7u5 aas 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 $4.9 \% $ uncertainty in $V$ and a $2.4 \%$ 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 measured to l-rf(st s:m8 pewu;9vbe $14.4 \pm 0.7 \; cm$. 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 $1.2 \%$ and the uncertainty in $l$ is $2.6 \%$, 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 a room (kk tnl;1/-og2 mbbzmy eb9o)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 differen;dokvi pzk 5t;: fi/c (ug0xp4ce ($V$) across a resistor is measured with a digital voltmeter to be $0.45 \; V$ . 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 measurementsnpr-g 9mw ;a.r of the same quantity which of the following can be wagp.n;rmr9 -reduced?

  A student measures a distance four times. The readings a.pbul0f rp-i:9.1/l zzfrchv o q6w6zre 37.8 cm, 37.9 cm, 38.1p6iql 1o6rh-c 9rfzfb. vuwz0p.: zl/ cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures twq-l6 jde j h8,gqu7j9 my( (pwj +41orcc)ihbco lengths as 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, ar /y6q(bt/2cv d*hhgdx e 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. Thesn l9ak5 g7 z+vtc+3 fwyfz:1pory states that P should vary lt5fy +7:zv c1asnz9gwkf+p 3linearly with Q.

  The length of a pencil is measuredpu,tq muikr3jv h3s;y 8)b 6b7 using part of a measuring tape as shown below.,jtvhb q y;7k)3r6s38i muubp

What is the length of the pencil?

  The masses and weights of different j3towy+lk gv; zr* uzt8i7e o-vvty39.bm)f5objects are independently measured. The graph is a plot of weight vektvo+vyl3 5fbezgwrt 9t*ui.- vj 7;38) omzyrsus 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 the diagr0yeu pw/ wa6: vk(l8 2kuernm:am shows the measured values with their uncertaint8 lwp0uu 2nye /(a: vm:rkwe6kies.

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

  The density of a solid sc z(1qlcft:f)+t (rk g8nsfd0phere is measured with percentage uncertainty of 2%. The radius of the sphere is 5.8 ± 0.3 cm. What is 8f +t tlz) cs 1gd0fk(:nfcr(qthe percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has s:b--*gsfy/lr) hoyk e hown 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 produces the follp* ,v )v0a3lia p2ojgaowing r2)ap 0p ilog3,va* vjaesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, 1/r8e1hn2z jndk qr8v6h r(s f4h2a nksuch that each measurement has an uncertainty of48h(z/a2 hnk6n8rjk n1vfrqed2r 1s h $0.5 \mathrm{~cm} .$

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 j 8y ahgkz0:9 l 9ahlwc9si/u)+tjz: g$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.1 \%$ 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 the following statemmkddk cxa*u4r(6( q0q ents is co(k4ddcr6 q( q0xu k*amrrect?

  A student measures a length five times. All of the measurements lie yzwh3s uh:k, +9 /:*u2 ft.w horcilnebetween $18.8 \mathrm{~cm}$ 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 c(zb qad ylk;e-:j8vu -m long is cut from a longer piece that is 12.6 ± 0.2 cm long. How long is the remaini--jyz (u:kd8;bev laqng 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 $\pm 5 \%$ 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 ± 1.3 N is applied to a mass of 2.0 ± 0.08 kg, qu)blwyxu8 - ;causing it to accelerate. What is the percentage uncertainty - ;w8xbyluq)u of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle ofnt256 w e:lka ez)ew9 4pzi+ii wire is measured to be 10.0 ± 2.2 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) %