Which of the followin zley 6r95fc(dfn(6l*j 0 qcdwg could be a unit of power?

  By approximately how many powers of ten is the height of a huf.7 v6pwkjn/b man larger than the height of a grain o/6wpjb nfk.7vf sand?

  What is the value of (:l* 9dmqbk yc(p:wxcwl +3p d$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following isc3zqk0sr/5bnv(o f/ a a fundamental unit in the SI system?

  The volume of the Earth is approxim*riav5w3re*b ; b -ihgately $10^{12} \mathrm{~km}^3$ 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 ofryny4t.x f: +ff2a mo+ magnitude, the number of heartbeats of an average aduln.o+2mytffr: x4+f ya t human in a day.

  Which of the following contains one fundamental unit/ q/gkrd 186udxn jxu9 and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with hu2 gjk8r vu5 8d6+inkthe most decimj68vgikk +8u 25dn hural places?

  A car has a mass of 1000kg. A mouse has oo3sarh s:/ vyg-aa+;a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mouseh av:r/y 3gaa+ ;osso-?

  A train travels $41.2 \pm 0.4$ meters in $15.406 \pm 0.08$ 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 m(u oj2g , 4 t/wuoj;2hm5uvpwof a cube with sides of $3.57 \mathrm{~m}$. Each side is measured with an uncertainty of $0.4 \%$. 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 side21hh9:7pr cjz7e roxd $x$ 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 $4.8 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured using part of a metre rule that ism2k *w . tg93+ /zdk ,ej9mjrn3b*weqayzr0ri graduated in millimetres, as shown bq2mwgr0wr j*99tkjye.+ /,z e3 i3zkm dnba *relow.

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 $4.2 \% $ uncertainty in $V$ and a $2.7 \%$ 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 d*8m2sz7apse 2fp q3 3 lvec+nmeasured to be $12.3 \pm 0.5 \; cm$. 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 $1.7 \%$ and the uncertainty in $l$ is $3.2 \%$, 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 estimbsuc/w o df*g (3*fp0hated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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 (5il6weolx+t t ;52fsq$V$) across a resistor is measured with a digital voltmeter to be $0.55 \; V$ . 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 t h9zc(cdioe: 9xbmgt+z1:/ lp he same quantity which of the following can be redu+9 bcpoi tmdx(9:z1lh/e: gcz ced?

  A student measures a disb*g5*emywzfj -4lv6sq t)t esxk wd )*v/tv(9tance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measure yvxtw)-ee *5w/tdfjl* m4 qs*96k(v)tvgzbsment?

  A student measures two lengths as foll pcb vd cshbt*hmuz 4qfq*,z :+otva 9;1)+.apows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, ard0b7qqik vs.)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. Theory states that d456mwep ,ptnP should vary linearld5wn e4mtp p,6y with Q.

  The length of a pencil is measured using h9z7dg 17rgdk 6mjb/q3e/bs kpart of a measuring tape as shown belowqd s/ rh7gb m1639j7kkzg be/d.

What is the length of the pencil?

  The masses and weights of different objects are independently me3imcq:uiu. +wdc(4 qt asured. The graph is a plot of weight versus mass that includes errouimi twdu4c+ 3:c(q q.r 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:dn1-qwunc4n 3zr r1l oi;b1 d the diagram shows the measured values wit3zonl1db inw;1:cq-rn1u dr 4h 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 mymuc fo(01e2t ;sx9lhpd9d : weasured with percentage uncertainty of 2%. The radius of the sphere is 3.3 ± 0.3 cm. What is the percentage uncertainty in the;c pmtolddye(1 xh:w 29 sf0u9 mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown baxmxc - un36k2sh:c3 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 cjshi/ *(b)2 xlkaap3-m h+b uproduces the following results:-i)(jlsmau3 +2 kp*hbch/ axb
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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,y7 70.jae3sai -updqsd5; jut such that each measurement has an uncertainty udjd aa;7qi0-teju sp.y57 3s 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 mas,v+ iw. /tukx6ekj dt9s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.0 \%$ 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-jtq sj8sy1g.nzn8k47negligible zero offset error. Which of the following statements is correcns.st8zy4 j 1kgq8n7j t?

  A student measures a lengmdf5u e0. woj9th five 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 ± 0.1 cm long is cut pnynwq,t:.p d pk7p,jq8yf 2- from a longer piece that is 12.6 ± 0.5 cm long. How long is the rp,p,2:w7yfj n. qdqt ppkn-y 8emaining 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 $\pm 4 \%$. 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 ± 1.2hjkvgr- 2xu(ubt +8.g N is applied to a mass of 2.0 ± 0.22 kg, causing it to accelerate. What is the percentage uncertainty of its ac.+ ujk g(u2 hxv-8rgbtceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to lj,j 5 cb0zqm+q bu zfb+qo ,mka990)obe 10.0 ± 0.7 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) %