Which of the following could be a unit of power?xw8v:qv qc9d 6

  By approximately how many powers of ten is ux+p0 2blmfwk .v06lh*gk jw-the height of a human larger than the height g jf.-bxwhvl06 w u+2kk m*pl0of a grain of sand?

  What is the value of l w+9fepb(thj88*twd $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit c ha7k gmbnc t+s93.wp.6v8fg in the SI system?

  The volume of the Earth r g hc h(c0po;py-(7upis 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 of magnitude, the number of heart2bw jhpa1+, h,n4qknp(ro(wwbeats of an average adult human in +w,bq4n1wk o (hajr2p(,pwnh a day.

  Which of the following conta z d8hy2*/vwtrins one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with they9)rr c,zx 4be most decimal places, 9r)xrbz4y ec?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is c msp2kj1//5j th9san wcw a;4the order of magnitude of the ratio between the mass of c 1w/mps kt;a2j a/4n9jwh5scthe car to that of the mouse?

  A train travels $63.9 \pm 0.6$ meters in $13.876 \pm 0.06$ 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 shapetxmaz khf/heh:7e 0snb 2) n73 of a cube with sides of $3.32 \mathrm{~m}$. 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 squa ayigfefda7lyb*(v x2lsl,)z +yw6:jg0d6b3re 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 $7.7 \%$ 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 measured using part of a metre ru:w1)uhn.v2 lchg-g df le that is graduated in millimel:h1g) 2-h gc vwfun.dtres, 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 $5.2 \% $ uncertainty in $V$ and a $1.4 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloo mcgv6o(2b* n9,u 5/jsbcybkz n is measured to be $24.5 \pm 1.7 \; cm$. 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 $1.0 \%$ and the uncertainty in $l$ is $6.3 \%$, 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 eb-pao z6yt x;2pmd 1i.lx av7 rb3u2+are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 difference (:p vy soj7/, ggdpj9m/$V$) across a resistor is measured with a digital voltmeter to be $0.68 \; V$ . 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 quantity which of the following cr z) * z7e7gjdl*xwt2ean be reduzle7rtdj)x2 7 *z*wgeced?

  A student measures a distance f1; 8ysp/b v:6ededt:rs1vwfcour times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuf ;br/1p:8v 1sedwt6 c:eyd svrement?

  A student measures two lengths as foj16wss1v e*l4-6t.fdpoewtollows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are mgxosg6ij6 s*8b(5v ;dnp err9easured 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 plottedk gwr:2 +xqq +:sb;qd0ehc 2z:kk7 tci. Theory states that P should vary linearly :qi qr:bq:2xc d ew 7t0csz2hk+k+gk;with Q.

  The length of a pencil is measured using part of a measuring t cvc oy g;l:.o,ja.5ejape as shown belowo,joal.jevc g:5; y.c .

What is the length of the pencil?

  The masses and weights o/av+ :lyxc*yf cq)3cl km-9c vf different objects are independently measured. The graph is a plot of weight versus mass thatc*3q -+cxk:lc )vc/9aymyf vl 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 sidem:ennu;lb tcn/h )q- s(6s ex9s of a rectangular plate are measured, and the diagram shows the measured values with their (-:ts b q/ncesm) hlu9x6nen;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 /b xvg6p d8l+c 3fz*mois measured with percentage uncertainty of 5%. The radius of the sphere is 3.3 ± 0.1 cm. What is the percentage uncertainty in the mass of the spherep v3*oxcl b8zf+/ gd6m?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thyy8; iu u e-z7gf,qc)qat:
$$
P=\frac{g h^2}{u^3}
$$
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 gravitbh9y, 4*f sdj1u 7rg kv1:ldtqy produces the following resur 4v1fthqbgs y1 dl*:kd7,j9ults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 us1in vo8rn /pbl)v-q+4:ect+kbk w;wt ing a ruler, such that each measurement has an uncertainty of evvn+oc81r; k:kwn+tb -pwq 4ib l)/t$0.5 \mathrm{~cm} .$

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 masdu 6x8n.7qh-b om-tmt14s jh ds $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.7 \%$ 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 fox/c+)q o -y;qf 4gowpellowing statements iy-+xcqp e ;/gq f)wo4os correct?

  A student measures a length five px6 tg d0mp(0s,m/aumtimes. 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 ± 0.4 cm long is cut from a longer piece that it) e(+n3me 5qx3 k5ofryj bgf5cw1eq:s 12.6 ± 0.7 cm long. How long is the remaining3ey qqe5wntfgj)k 3oxb ec1 mfr5:5(+ 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 $\pm 6 \%$. 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 ± 0.6 N is app ty7/bgqzin,;*l 7vv vlied to a mass of 2.0 ± 0.21 kg, causing it to accelerate. What is t *7 /vzblivtgn7yq ;,vhe percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle d xh c1t.bmqf9ulgx 6ot1j: /kv+b21yof wire is measured to be 10.0 ± 1.1 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) %