Which of the following could :lrv8w.1 e1kqulo ga;be a unit of power?

  By approximately how many powers7 3x-do+ir i1jo*iaec aw 9bj0 of ten is the height of a human larger than the height r0ca +3j1eib*ix7i9w joo- daof a grain of sand?

  What is the value of w(dp dr8p 7.uo$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a cmkc: a(r *ra*fundamental unit in the SI system?

  The volume of the Earth iue66aeugpj *qub(*s( s 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 o 5k i-73i6k3qzezmr 2itjfdn 8f magnitude, the number of heartbeats of an average adult human in a d5d k7n-2i z3 68jzeqfik3tirmay.

  Which of the following contains one fundamental unit-uyk(1h84y mi+ ar qme and one derived unit?

  If A=10.0 and B=0.50, which calculation w.fulp(w7 b pok-n/9l rill give the answer with the most decimal pl9of 7w.k (p-u/lrpbnlaces?

  A car has a mass of 1000kg. A mouse has a:ejj k0w 2:vhmhne x./ mass of 10g. What is the order of magnitude of the ratio between the mass on.xv2 wee 0:j:mkh/hjf the car to that of the mouse?

  A train travels $53.3 \pm 0.2$ meters in $8.266 \pm 0.09$ 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 cubez :8gp9wszh f+ghx l663asj2e with sides of $4.48 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 ws:+mxe7by yy .+dkw*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 $4.3 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured usinm0 ; qywpcr.ium4 4(;k yapj/vg part of a metre rule that is graduated in mill44m(iua vk qwj;;y0pyrpc/m. 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 $3.8 \% $ uncertainty in $V$ and a $0.8 \%$ 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 measurgkrlep x :m *t4qt*u( cw27r7led to be $15.0 \pm 1.7 \; cm$. 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 $1.1 \%$ 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 sigk1vg 4/nyv.q z4pmi 7des of a room are estimated 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 (0sna h4 a9 -zw21qn*t yb-btpb* nya,o$V$) across a resistor is measured with a digital voltmeter to be $0.14 \; V$ . 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 measures hrk4cbs )3w(ments of the same quantity which of the following can be reducedbch (sk rsw3)4?

  A student measures a distance four times. The readings are 37.8 cm, 31*(r4fz i b* pppxytn-7.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurement? f4yn1rxb tp*i*ppz-(

  A student measures two lengths as follows: wly .,rui(jm g9969u laje7qo$$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two eventw)j 4vmykk1x 5u-9 -zf 3xzmx 5aaex:+4ggibgs, 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 quantity P as quantip 2fkkq; y-se4ty Q varies is plotted. Theory states that P should vary linearly wif4k;sep q2y- kth Q.

  The length of a pencil is measured using part of a meas1 0zx2v b9r/mm2j rrgfuring tape as shown below. mj/9vz01rrgrfx2mb2

What is the length of the pencil?

  The masses and weights of different objects are independently measured. T+l, pvudct69d5wj e5e he graph is a plot ofd deu6e+ 5lcj9 ,pt5wv 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 the diae*5i+,cf ,iff9w cd /*h dmvykgram shows the measured values with their uncert,f fci,*9dm/d y+ ehfivk* 5cwainties.

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 measured with percentage uncertainty of 4%4 xo u:f3;uxioh z,9qn *zthd*. The radius of the sphere is 5.3 ± 0.2 cm. What is the percentage uncertain* 3,h94nd*qzo uhtf:ozxx;ui ty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sho 9 ;,j mtihaarmija.+r 1z-d/ewn 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 prof*y(x6)d uuv7z cp;nb enr:2pduces the follo )*fpnu zru(7bdyx nvepc6 ;:2wing 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 measuremen o.4x;lh2ebi: 5/4aexm drj w.qj ni5k 77lkdlt has an uncertainq: /54. kmlhode7ba4w x x.ide2rn5jki llj;7ty 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 ((lkmxa.p2ks $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.9 \%$ 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 the04xfb g wc1kea5t((l3c gv5r t following statemer wt(5g5b (ec1 a3vx0cl4 gftknts is correct?

  A student measures a length five times. -c,g4kj )z yt; fu.hvfAll 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 ± 0.4 cm long is cut from a lokb .:.9tv6/* gexpxjr:e d nxpnger piece that is 12.6 ± 0.2 cm long. Howx6xpxk9ete/.djpnb* .vg::r 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 $\pm 6 \%$. 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 ± 0.8 N is applied to a mass of 2.0 ± 0.19 kg, causing it n4ry pp *:u7ufto accelerate. What is the p4 *nf yp7rupu:ercentage 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.i qce*wvuss -1f,.0cb4 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) %