Which of the followizyi/9xh8cet:zdt 03r+ w1ewbng could be a unit of power?

  By approximately how many powers of ten is**fkc;bza -k;/;8 exhq4hjnbb a3lb ue 7am w8 the height of a human larger than the heifx;b8zaab3e8q; 4*khbelmacnk;h-ju7/w*b ght of a grain of sand?

  What is the value of u bsp:.iqbj.yb4)wf 6cnfg+x,lz0 a7 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI systemhbk6dlr1g .phv: (5s n?

  The volume of the Earth is apprtvl /zvg 47oa75bd b7moximately $10^{12} \mathrm{~km}^3$ 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 9naafs.r:dfce97vg eqd9;9(o v iq9 r of heartbeats of an average adult human in a dvn (faqre: c;daf .997 s9gvdo rq99ieay.

  Which of the following contains one fundamental unit and one j tc5x8vc-oxo,6+ khe derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decis efb3qjx -ez80s:h s4mal places:e ej- s8ss3qb0fz4hx ?

  A car has a mass of 1000kg. s-oa2qe b,,acA mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to thaq esa2a ,o-b,ct of the mouse?

  A train travels $60.1 \pm 0.8$ meters in $11.267 \pm 0.07$ 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 shape of a cube wvw.8nj (5 bcpqith sides of $2.56 \mathrm{~m}$. Each side is measured with an uncertainty of $0.3 \%$. 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 square basem4n yojcxt6 0qt5,;80wh v ivu 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 $9.8 \%$ 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 measured using par+k.w;o)0 u(bq6jtntfddm u1sb ; d o5zt of a metre rule that is graduated in millimetrettosdm;u6+ db(q)d5fokzu w0b ;j.n1s, 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 $4.1 \% $ uncertainty in $V$ and a $0.8 \%$ 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 me mbn ki( iq,yn5rw4uv18 n--x:anudd4 asured to be $20.2 \pm 0.6 \; cm$. 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 $2.2 \%$ and the uncertainty in $l$ is $4.6 \%$, 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 ro 102u4hdb6foz3 pel5cez.leuom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 o mi pj ;rsgiv6fwjk/.v/9 /:f($V$) across a resistor is measured with a digital voltmeter to be $0.75 \; V$ . 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 a0gz 3jek dy77the same quantity which of the following can be rgj 07e3 dzkya7educed?

  A student measures a distance four times. The t6v8 ield7 ,mqreadings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this m,dv8qeit67l measurement?

  A student measures two lengthrm.-f0 iv-mul 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 evewwo bwc*qk;;orez5 m*-6p ig1mx34w xnts, a and b, are 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 quante dqee1g -y(ri,ptt+2 ity Q varies is plotted. Theory states that P should vary linqe(e,yg+p - 1trd2tieearly with Q.

  The length of a pencil is k/pn+ mypsgu 1 e7+0n+kc*zbi0ruv x:measured using part of a measuring tape as shown below u7uec+0 bvz: n0nx+kpys*rm1k gpi+/.

What is the length of the pencil?

  The masses and weights d1cp t(3p/vtt of different objects are independently measured. The graph is acp(p 3vttd/ t1 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 pla( u0o*vls4ul x*o9ifr te are measured, and the diagram shows the measured valuei4fs9roxl0 o(u luv**s 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 percentage uncerk3 odh;av25p zj zv:k1tainty of 5%. The radius of the sphere is 2.6 ± 0.4 cm. What is the percentage un;5k3jovvad1: z2z hpkcertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shoxijsyud2 1s1d a *,s8i,dix4uwn 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 mea/c-q1 xdsp8si-cr6ty5em )iu sure the acceleration due to gravity produces the following ry5 x/e1s-cuiqmtdpc8is 6 -r )esults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 zk j 8ky76q t:hqkbptx-.7uv0 ruler, such that each measurement has an uncertainty o 7qt8jx. k-6b vzyuqk7tp0kh:f $0.5 \mathrm{~cm} .$

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 massxd eohv6,xy*9f d3+f q $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ 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 6nf 68vor k(v 3oi/ysqof the following statements is cok3o 6i(qrovys/ 6 nvf8rrect?

  A student measures a length five times. Alya la4ltt8)qd mw19e0l 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 ± 0.2 cm long i4.q 5)g i+gncvyay o9bs cut from a longer piece that is 12.6 ± 0.2 cm long. How lon5aygbv 9ic)q gyo.n4 +g 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 $\pm 2 \%$ 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 ± 1.6 N is ible +*mg4m3v5g v hx0l 9oc3capplied to a mass of 2.0 ± 0.15 kg, causing it to accelerate. What is vco lh0cb*5m3+49 el3m gixv gthe percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to; d ,nw l7*jn9hq-hqkp be 10.0 ± 0.6 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) %