Which of the following could be a unit of powexcc31kj rzh,2/ 3v**ewckd oe r?

  By approximately how many powerwpa0o 2kj 8zvy* j6dhvg 4th0;e6huc*s of ten is the height of a human larger than the height of a grain of sand z0hh;p*0okwdveuygh j 6 482*ctj va6?

  What is the value of+fcu ynewem .5 1*,5aoact v.r $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unitq st)-r/*4iypq 3io wd in the SI system?

  The volume of the Earth is approxima5d gjrjz zoo+g7(b;)utely $10^{12} \mathrm{~km}^3$ 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 orvpo 2a /c:cd-lder of magnitude, the number of heartbeats of an average adult human in a dapd/v co-2a c:ly.

  Which of the following contains one fundb m(s)) vy*:qn +vkgiramental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the an v )orr9tcunm/o0d1;pmn i:r9swer with the most decimaln;drvmcm nti9/ rpu)1oo : r09 places?

  A car has a mass of 1000kg. A mo17qldj ue .;yluse has a mass of 10g. What is the order of magnitude of the ratio between ; 7ueqy1d l.jlthe mass of the car to that of the mouse?

  A train travels $58.7 \pm 0.7$ meters in $12.915 \pm 0.07$ 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 n f)p6mk 7ghrw5*rnc)f3qz 8 dof a cube with sides of $3.41 \mathrm{~m}$. Each side is measured with an uncertainty of $2.0 \%$. 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 of side 7tlw fn.wdmq 9t/+t6m c(g,dj $x$ 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 $9.9 \%$ 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 pt3zvr ehsmeqz 6,ik8s+:aw -,art of a metre rule that is graduated in millimet tszk,8:w em +6aze3hrqs, i-vres, 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 $6.3 \% $ uncertainty in $V$ and a $1.8 \%$ 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 measured4y9b+- ljl8hwvd l 8o46:rds6aule ie to be $10.2 \pm 1.5 \; cm$. 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 $5.9 \%$, 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 estimated7lucofc b jnj8b1413g 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 differeep2i/ eyjb)uytxo/ vb :,5 8ience ($V$) across a resistor is measured with a digital voltmeter to be $0.33 \; V$ . 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 sagz eapx(1 3 o(q/2d4;5 cpdhw z0rhjfnme quantity which of the following can be reduceh (p0 d ezj3/ wnf1ha45g pcdxzo2;rq(d?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm,xn0bcra u;l *-1+ulz x 38.1 cm, 38.2 cm. What is the best estimate of this mea nu uxzlcr0a;+ x*b-1lsurement?

  A student measures two lengths as follo/ (sa 4yxve,c/icg emki )53ouws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are jj m)+u/ gjtx)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 l/xf v3 d-6*mu 2rnzuqas quantity Q varies is plotted. Theory states that P mn-v2f63rxu*qz l /udshould vary linearly with Q.

  The length of a pencil is me 7qdi1g):+)o 69up:ealx osa2imtnd zasured using part of a measuring tape as shown below.u 6doalmip7dqi9a 2:: s) o tg+)xnze1

What is the length of the pencil?

  The masses and weights of different objects are independently measur4 6*qjs.7x sdih b,gqeed. The graph is a plot of weight versus mass that includes error ei.gs4 s q*dxq7h6,b jbars.

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 diagram scl1u /vj)k +p 4mvew)qhows the measured values with their uncv pejkm/ vu)4wq)+cl1ertainties.

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 e+lrhxkxxzyt2 01( qe k+,lc. with percentage uncertainty of 7%. The radius of the sphere is 5.9 ± 0.1 cm. What is the percentagr2x1,cylxk q+x0 (ee+h.lk zte uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has s*f6sdqdsf8n9 1k v z,thown 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 toc47:l bxc gro: measure the acceleration due to gravity produces the following ox lc7:grb: 4cresults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 unce9nqb d/by3wmj6 pu*r, rtaint/j, b y3m9dwpuq*nrb6y 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 jxp xy6r3g2c6 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.9 \%$ 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 eyu xcn*1cc -l5rror. Which of the following statements is corre*u 5ln1 x-cccyct?

  A student measures a length five times. All of the measurements lie betwuxh f7 zumv1njnqblq.;p* k561 *puvi tl9c40een $18.8 \mathrm{~cm}$ 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 ±9ci6bvmhxsgae 5xnvw0 .73 2b j)wys/ 0.4 cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How long is the re3/x25 ss jea9 .wc0ivwghm6 bx7)nybvmaining 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 $\pm 5 \%$. 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 ± 1.5 N is; i c9itste9e 9 r9ra,9bk.iou applied to a mass of 2.0 ± 0.05 kg, causing it to accelerate. What is the percentage uncertainty of its aci; ao99 it9.ekcbt9e 9iusr,r celeration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10..h /o dqqk/rbcd*17m y0 ± 2.2 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) %