Which of the following could dn;/1iuf70 x -+m5frbhvsl w qbe a unit of power?

  By approximately how many powers of ten is the.kx45):stiskl0,yq* 2z cnma 492ckop nnabt height of a human larger than the height oncl)4*y k c2 kkpbas 9452xqttz:n0mo .i, asnf a grain of sand?

  What is the value of z :v)s*n0. 0zbfwqj4zduxl*q$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental 3 fnj(r), lz.3swx bpyunit in the SI system?

  The volume of the Earth is apsr .b+5w kc x9vfm,*geproximately $10^{12} \mathrm{~km}^3$ 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 heartbeata g5)aont pc3uy804 yas of an average adult human in a day.yc p3n4ua g8oat)5y0a

  Which of the following contains ojzf n2n,l-k )v8uyj).i dv2y 7jsf u-dne fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will gwy tka.t,gl 6d,kti2o6lf.+yive the answer with the most decimal places?galy2f+ l t6, tk6.i .t,kywdo

  A car has a mass of 1000kg. A mouse has a mass *bfb c7npf 62-zgez*cof 10g. What is the order of magnitude of e fp gc*b7fbczn6- z2*the ratio between the mass of the car to that of the mouse?

  A train travels $88.8 \pm 0.7$ meters in $8.092 \pm 0.04$ 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 cub 0wuqrd jv(i./nsyt8) e with sides of $5.30 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 square2 8auc1wo4 joo0o:bky 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 $4.5 \%$ 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 met4tew -(7k gehdg4:j gaj1 ,isleq:u k- e)kgu6re rule that is graduated in mil )g (7qgwakhideu461ljkgeusg-:j- 4, kte: elimetres, 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 $4.9 \% $ uncertainty in $V$ and a $1.6 \%$ 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 measuredg8o epya. 52w:rau+zs to be $13.3 \pm 1.0 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $3.3 \%$, 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 i7 50sipk 5 izi3ys(ezare 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 differr 80js4k9mxj7 vp k7iqence ($V$) across a resistor is measured with a digital voltmeter to be $0.63 \; V$ . 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 o; 0 wfhtjw,ty..qsqk( f the same quantity which of the following can be reduces.tq ,jtw f(.hqk; 0wyd?

  A student measures a distanctfo4ny ef /e v6y3;+fae four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is t 6veeyaft;f3oy /+n4 fhe best estimate of this measurement?

  A student measures two lengths as follow9) mpqo feyv4*8sua( vs: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are meaajua) df 0u jf8/f79;ckn qk; 5aaqe(bsured 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. Theory states thaq)ry;c(a1cea; v y4kat P should vary linearly with Qy ay cveq4)1; ;acar(k.

  The length of a pencil is measured using part of al5tevg l6ga30 measuring tape as shown below0la6vg5 lt eg3.

What is the length of the pencil?

  The masses and weights of different object usooif4f e-yi2(i4)vs are independently measured. The graph is a plot of o fev-24(su )ii4fyioweight 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 diagraqog5 qyf*u g*2m shows the measured values with their u*y5u 2fg*qqg oncertainties.

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 5%.p y uvdx lsk,y-1 5el9)hqg.g+ The radivxgulk1)dyq +.heg9s 5l p -y,us of the sphere is 4.1 ± 0.3 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 shown tha-3y6g vl3:isr38 mgz ct)d teot:
$$
P=\frac{g h^2}{u^3}
$$
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 accele 1uy4(toehlj2 v9h y*jration due to gravity produces the followinguejlhvj291o4y( h *yt 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 measurement has an uncerta.7oh;y umg;fw * lxqx)intyoml. y;* fh wx)xqgu7; 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 m: h6kzm*lv- w$(2.0 \pm 0.1) \mathrm{kg}$, 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 x5no jqzo evlhky0)mf4bpxr 8,t -:1np .fa92-negligible zero offset error. Which of the following stateme atry qo),0:pxx vp-9mhfnfo1 j .nek428lzb5nts is correct?

  A student measures a length five times. All of the g *x:n1 z1nhoh jh-6ixmeasurements 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 ± 0.1 cm long is cut .ufu-+dn k5infrom a longer piece that is 12.6 ± 0.2 cm long. How long is the remaining pi d-+ufn.uink 5ece 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 $\pm 9 \%$. 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 ± 0.7 N is appliedtk.o ap-d1oze;.o8d ivw5. ge to a mass of 2.0 ± 0.05 kg, causing it to accelerate. Whaoekgp.t e. v;5odd8z1owia-.t is the 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 tt-sig j (m90fwn/fsza+wprs*,-dp+go be 10.0 ± 1.8 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) %