Which of the followin 5f)*6r r*nlrmrdco0z g could be a unit of power?

  By approximately how many powers of ten is the height of a hum:j bhbt6ln+fpv6+b p:n1:tcfan larger than the height of a grain nvh ljtpp+t1bbn6ffc+: ::6 bof sand?

  What is the value of6xtfac)dycdt47 (*g l $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit b:ry xcvy b8f tt8mb8;:hv;to-vsa- z2e)s)kin the SI system?

  The volume of the Eaq gu1vj p+:l4orth is 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 ofjyvmyh7vk-: y+p q,y+k;(g1i3wj 8ygpnn *ko magnitude, the number of heartbeats of an average adult human in a day.ypq 8yyomk13y vjn gj:*ih wyn,k k(p +v7;-+g

  Which of the following contains one fundamental unit and one derit15z;x hsi r:n4aq g3tx,)bxaved unit?

  If A=10.0 and B=0.50, which calculationr,7 3dwmjt; sir*(br, j8ru ii will give the answer with the most decimr dswrj ;,,j78ii(3r utm r*ibal places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What isqun o6uc:hzgp7-4b 7uuluu (y0 +q3l l the order of magnitude of the rationu pu4u zlyguqcb0ou-+q l (h7:6u3 l7 between the mass of the car to that of the mouse?

  A train travels $41.4 \pm 0.4$ meters in $9.518 \pm 0.07$ 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 v5zeqcikq;8oy 07a(c shape of a cube with sides of $3.64 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 qidny) 8* n,b2arl/snbase 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 $7.5 \%$ 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 usy )oz 5v6yeilo7g*m g1ing part of a metre rule that is graduated in milllie 7yogy*v z1 m6)go5imetres, 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 $5.5 \% $ uncertainty in $V$ and a $1.7 \%$ 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 q5m1+u p:vbn :bsaqvcw/v10nmeasured to be $17.5 \pm 0.6 \; cm$. 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 $2.1 \%$ and the uncertainty in $l$ is $2.5 \%$, 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 ,vd.niet3 gv mfs+ 0h*. csp/qof 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 differers49e gvu2/k nnce ($V$) across a resistor is measured with a digital voltmeter to be $0.79 \; V$ . 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 a4 dfqd,v+wz r ct3)7fj h,o,kquantity which of the following can be reduc7o4rd tak,w+vd,cf3hjqz f) , ed?

  A student measures a distance four times. The readings are 37yx g6g92b w)ma.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the b2 a9wyg6xg)mbest estimate of this measurement?

  A student measures two lengths as folz 4 t+u*7.53ua5 q2oyhidm bltguv wk7lows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are measurednvf olg 5c5b-b qn782wy0tq k2 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. Theorw+a7 b9/ 2prr4p u-sdqud-;ze oj3mndy states that P should vary linpe njsd2u +a p;3-9dr-wqrm/ u 7d4zobearly with Q.

  The length of a pencil is measured using part of a measuring tape as sho( /xl1z2a tcvswn belowtxcsavlz(1 /2.

What is the length of the pencil?

  The masses and weights of different objects are inde*;ec uu2zb* zt.fi m3te,wcs8ck pk26pendently measured. The graph is a plot of w.czef 8;2 e ck3wkmi2*z*tbtuc6u,sp eight 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 mt8mk- 7y.dnm (i,v ctqeasured, and the diagram shows the measured values with their uncertainmk8 .ivndqt-7c ( t,ymties.

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 pe :p(k;wph94 q* stmezgrcentage uncertainty of 3%. The radius of the sphere is 2.7 4p9p m*:wgk;ezshq (t± 0.5 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has 72v0k;l .7z8 mwuwgiw : ezixushown 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 acceleruh92h bb cd47aation due to gravity produces the followin74 buhcah db92g 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, suchdr, zr1a + (c6; fg-l z7lclplux8-hpy that each measurement has an uncertain6r+ dclplcr7h(-a u,y-pz1glfl;zx8ty 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 wb *yp5 bdu2 kno/*r cl*.mj7m$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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 offw b6j;3/yide:na12j9 oqds c iset error. Which of the following statements is cor9w3 6i2d;b:jce siq/d aj yon1rect?

  A student measures a length five times. A*kite9-yibfdw u /n4-2 ,jyjtll 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 ± 0.3 cm long is cut from a longer pifctt q od/j6 qz0r4;)xece that is 12.6 ± 0.1 cm long. How long is 64rd ottz/xqfc) ;0q jthe 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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. 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 ± 0.2 N is applied to a mass of 2.0 ± 0.04 kg, causing itff7 t4p9uqua:na5p9g0,t m zi to accelerate. What is the percentage u f97a t0a :5npqpf9mugz 4it,uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire-md *xgmp 2bi9 is measured to be 10.0 ± 1.6 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) %