Which of the following cg z(og;) 8powbould be a unit of power?

  By approximately how many powers of ten is the height of a human largerftt;b, s v5z* pu9rb/p than the height of a grain frzb9u5/*; ptts,p bvof sand?

  What is the value ofdax5( e5,zog6z4g uwg $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following istmho658 rl+of /c. sth a fundamental unit in the SI system?

  The volume of the Earth is approximatkt1p j :9:bhskely $10^{12} \mathrm{~km}^3$ 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 of9xawva q fx6c2:u sj,8un8a r1 an average:8 vxcu1 6nq2,uwaas9axjrf 8 adult human in a day.

  Which of the following contains one fundam ;(w;;k*c. j 9qr0/6u zy o6izmuexm lzbjw-jxental unit and one derived unit?

  If A=10.0 and B=0.50, wwar ;8ile+e .id(yg:p +z a)gzhich calculation will give the answer with the most decimal pl++p)d 8:rg z. iezy(geaia;wlaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order oyx8lbz5,ap lt, b1g(wu h3 c(df magni8(bg,3wx, zcapt (l 1luhb5ydtude of the ratio between the mass of the car to that of the mouse?

  A train travels $68.3 \pm 0.4$ meters in $10.665 \pm 0.03$ 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 shapemy7mt rl*9:;ognyf;w nzjx*- of a cube with sides of $3.22 \mathrm{~m}$. 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 b(-t zxuuy 2)ndase 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 $6.7 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measure3f h: jeekuw(n zhm608d using part of a metre rule that is graduated in millimetres, 3m(kwhe08f6 jnh eu: zas 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 $6.3 \% $ uncertainty in $V$ and a $1.9 \%$ 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 wq2l(ive/ n -q1hkzc3to be $19.0 \pm 1.2 \; cm$. 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 $1.3 \%$ and the uncertainty in $l$ is $3.7 \%$, 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 rpnp)lu; e+ke 3oom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differenc+ p+d7z mr2(uvsof(i;u4wge ae ($V$) across a resistor is measured with a digital voltmeter to be $0.19 \; V$ . 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 same qua efk.a*6 8haat.65)uyxbkjjr ntity which of the following can be reduced?jjfa urt8x6.kh)e. ka 5y *ba6

  A student measures a dista/eysii2x-(yr ;)8o u s xlx9abnce four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What x;b/ix9xs2osy- 8reiyl(a u) is the best estimate of this measurement?

  A student measures two length )0fv o1d6y jgsdkga4.s 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, are measured to bepqpdl-alh1 - t:u9)tv 2 rvu9l $(5.1 \pm 0.1)s$ 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 dydi )vj:qa03 is plotted. Theory states that P should var0jv)q: i yda3dy linearly with Q.

  The length of a pencil is measured using parg(g+k 4*ube yt)gypg 7 vfni03ht8,idt of a measuring tape as shown below ) tg ebv7g*g0ugnd ,k8tyfhiyip(34+.

What is the length of the pencil?

  The masses and weights of different objectseugl j jfb*4*uwy936t are independently measured. The graph is f*glb9ju46yj*wt e3ua 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 measured, and the diagram fivo.o-n v/t( shov t/on -vi.f(ows the measured values with 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 measured with percent3/ zzfgbkmh 0uuj3z3eop 90s (age uncertainty of 7%. The radius of the sphere is 1.0 ± 0.4 cm. What gp h(3o0zj 9sez3/u0 zfkum b3is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thap wbo47symj2oy7 tz2jpa *i1c ne (78st:
$$
P=\frac{g h^2}{u^3}
$$
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 acceler16aar775 bny wkkwu0q ation due to gravity produces the followaw17q 0 uk6bw7yka 5nring 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(mh92ibqo a yui95:wmt has an uncertainty mmuq2 w5hy ( 9bao9ii: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 v8*qa v*b m1tf$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.3 \%$ 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 offset error. Which of the following sewr84uctm a+e)e 9. m m/rc2lhtatements is corree.er +um8m)t4mcer/hl ca29w ct?

  A student measures a length five times. All of the measurements ,gpd+fe y*z*q 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 iqkwt:s. 8ev3a+c4 tdys cut from a longer piece that is 12.6 ± 0.7 cm long. How lonkswt3y q cetd4:8+v.ag 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 $\pm 3 \%$ 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 ± 1.4 N is applied to a mass of 2.0 ± 0. (. +we,ykpxcq06 kg, causing it to accelerate. What is the percentage uncertainty of its wc.y xp,(keq+ acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wimx bv2;lc qq 9n; wslkd32)m)nre is measured to be 10.0 ± 1.9 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) %