Which of the following coulv9)hs cts n+8gd be a unit of power?

  By approximately how many pk251f+mzx. qu y3 c4kfe2ck;*:,cza ql nqpnuowers of ten is the height of a human larger than the height of eunkx4f.l y5a:ccf zq1 kc2k p*2+qu;n m3q,za grain of sand?

  What is the value of nr in,-nl2.9 xka tv4i$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unitsj4c m8wyw h:+ in the SI system?

  The volume of the Earth is approx (oe8 v+e6.wvpt a(msiimately $10^{12} \mathrm{~km}^3$ 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 neasmj*3rfcj fh0 o o;/-trest order of magnitude, the number of heartbeats of an average adult jco rtmfo;*hjs3f/0 - human in a day.

  Which of the followiwxo / :cw/8o.f w (k7msybw.bg1/r nyyng contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation wil+ ;rtpftfpku.+3rqh9t1 mfjc ,2f3mxl give the answer with the most decimal plac f.tm;f1fjcrf23r,3+up q k9tpmhx t+es?

  A car has a mass of 1000kg. A mouse has a mass of 10g.;jbj)dssgjb k;b1a:+ What is the order of magnitude of the ratio between the mass of the car t jba :;bgsb+)dj1;jkso that of the mouse?

  A train travels $46.6 \pm 0.4$ meters in $7.538 \pm 0.08$ 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 of a cube 9;bzi,cgcip;e ,a-(f wnk 4anwith sides of $4.51 \mathrm{~m}$. Each side is measured with an uncertainty of $1.8 \%$. 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 ofx*n d :4lf kdac3vs.qw4 ,va1e 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 $9.4 \%$ and $h$ is measured to $6 \%$, 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 aigz g58 jnkynm/f g br:560l8rule that is graduated in ay5 jm6i8b0z8n5klr gn/: f ggmillimetres, 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 $5.9 \% $ uncertainty in $V$ and a $2.4 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is ox,-bwwdwd3x-b tr*iez( d,f ).j+j;g,s qoemeasured to be $18.8 \pm 0.8 \; cm$. 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 $0.9 \%$ and the uncertainty in $l$ is $5.7 \%$, 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 room are estimawryb,l0fh b8 7ted as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 12 \%$. 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 differeb:u.az8 2n0u-db0wd-ex 9q -u q hwuujnce ($V$) across a resistor is measured with a digital voltmeter to be $0.71 \; V$ . 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 measur j0br0ah-o8o4 xb01tjnf,a diements of the same quantity which of the following can be rejt1aa0xj8 bfo,i4 nbh00 d or-duced?

  A student measures a distance four times. The readings arey f:z;: pep) /sta789vhrpjzx 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate t ay/jhz8)x:rfepz;p7vps9: of this measurement?

  A student measures two lengths as iu 6qnwkqt w7(8b/yrn8i-(y f 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, k+tcuw q)6b, ware 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 quc. *du0qz o;k5+zeh bvantity Q varies is plotted. Theory states that P should vary linearly wcz;he50o +dq* .v uzbkith Q.

  The length of a pencil is measured using part of a measuring tape as s*tmfh7 3kyx *hhown below.** kyf7txm hh3

What is the length of the pencil?

  The masses and weights of different obje.4j* mvcad dxbo 62 :hvhid8s)cts are independently measured. The graph is a pl*v2ch :hb dx4jivdms.o6a)8d ot 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 rectazb s(e/cst fa,dd, xxx t94 ej:l+/)ilngular plate are measured, and the diagram shows the measured values with their uncertainti s,/aedi4jb 9/l)l x t,tf:x(ed+zcsxes.

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 8%. The 0vgm)q lyl6d 9uxdr1 ar;edjp, a30i. radius of the sphere is 5.8 ± 0.1 cm. What is the pe19d iy.,eam0 g3 a6rjx u 0lp);vdrdlqrcentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has showo*t7sol )y8jxn 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 du ct1 vl6cy- kk+ey+nr7e to gravity produces the following resl7k1 ve 6cyk- ++ctnyrults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an uncertaglk 7 0jgdg,xgl 0p8r+2emf v3rkm+b1 inl0eg0p18+ l2xmd frg3r7 bv+km,gjg kty 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 z*i(d1r-q i xt$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.2 \%$ 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 err3zbznn -ezif4z2 )g tgz-k4x(7 yq5t ror. Which of the following statemen 2 -z5t)gyt(k4fxni-gn4rzzbzz3q e7ts is correct?

  A student measures a length five tsu3( lh, *7qkvs2 mtfhimes. 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 lh/ak e..auj, ± 0.1 cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How long is the remainin.h uk., ale/jag 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 8 \%$. 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 ± 0.25 kg, ce. k 5,hfebb2/sysjl/ausing it to accelerate. What is the percentage uncertainty of its acceleration?ef // 5 by2jel,kbsh.s  (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. 1rl3/l(le7k7abqx wyg kby /.2 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) %