Which of the following coul rz6bb2 v61izfd be a unit of power?

  By approximately how many powers of ten is the height of a human larger than cdddrse+ 9kh/ov8zp+ cx/p 2 d+/6pt wthe height of dk+w sphp z+8o ddvtc+c6d2///p er9x a grain of sand?

  What is the value of5 j 3o*ytx;f/b jl1 bp+g1dvun $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followin5h.m; bp* yi .sxd nqwy-x4z:cj1 ypf2g is a fundamental unit in the SI system?

  The volume of the Earth is approximww p k7p5(h0mwf3wz2j il/v p*ately $10^{12} \mathrm{~km}^3$ 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 numw1 hie3lq0 6r wl,o3cyber of heartbeats of an average wei 310w qlohry ,l63cadult human in a day.

  Which of the following contains one fundamental unit and one -p7 87jhun,u t +tj):siyc nl cfub67jderived unit?

  If A=10.0 and B=0.50, which calculation will give the an;6s7m vx8gx3;q;lxzs frs+a tshmq,+ d12lw dswer with the most decimdh m+1a d;s;x7;+ qzmllsx8xv6fwrts ,s3qg 2al places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of mag r8,flr:ro; i:qw4e,q zuns/ o* qyi+fnitude of the ratio between the mass of the car to that of wr rq iqqyn *4u+;e8: fo,,l/fs:roizthe mouse?

  A train travels $40.2 \pm 0.4$ meters in $6.458 \pm 0.05$ 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 with sides (i;(m xwem3gl of $1.90 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 base of si4 ce5 iz7e wdhae.2;ad gbo5(bde $x$ 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 $3.9 \%$ 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 part of a metre rule that is gmv2y08 vq2 mv7 ob;kouraduated in 0;vmkv8 q ymv227 booumillimetres, 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 $5.2 \% $ uncertainty in $V$ and a $2.8 \%$ 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 measurv xzv .:b xn7ww*-sm/ied to be $13.7 \pm 0.5 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $6.1 \%$, 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 estiman9z:2jr ice9d667/ gze mw evqted 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 difference (3v;2(oq/y kxr erb1ef $V$) across a resistor is measured with a digital voltmeter to be $0.12 \; V$ . 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 quantity which of the followieg( oi; (9 omz-pxxuh192skwt ng can be redu(u ox kg;x1 s(tom9h-iwz 9pe2ced?

  A student measures a distance four tih miff2oq7dqvw 5to *-n 3z84zmes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. Whwqivfnz d8fz54o*m2 7qh3ot-at is the best estimate of this measurement?

  A student measures two lengths as60zq2qdt 0n fgleizh1z/dl8(jr; jlye*)b(b 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, are measured rvca+uoxug: yy4/w v f;vl( *0to 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 a6uqm7rxhu/r u 77, jjrs quantity Q varies is plotted. Theory states that P should vary linearly with Q.q 7 ,j 7uxurjr/uhrm76

  The length of a pencil is measured using part of a measuring tape tzr ,6ta;gy plv+6xrymx/4/m)1wj. bp lvk(t as shown below./gr+ yvwx l xrt;)4zvmtapmt, 1.lyk6 pjb6( /

What is the length of the pencil?

  The masses and weights of different objects are independently measured.w+rvim9t e k :3h8y/cygz7+y y The graph is a plot of r ey7zmy9ky +w8h+/vg cy i3t: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 plate are measured, anisk wer c. hyf; -yy+w* /38:kw)vmdr.a h(kzmd the diagram shows the measured values with thei.y) :k zase h. dyv+* /yf;hm wr(kr8w-cwmik3r 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 percentag hq)y1y1 f6uote uncertainty of 2%. The radius of the fouh6q1 y)y1t sphere is 3.3 ± 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 shq,:lc8-8 egxk y dg fsllrz7;1own 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 due to gravity produces the f(5( *x6z/nkp:b uf8oth:9zn6o ard0t bqptzg ollowing results:zt6b a (bft5hzxz/ kn8u:nq pr9g0(odtp*6 o:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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, such3fb8y) nmb,xc;u u9u c that each measurement has an uncertainty ofufccn9mubx,y8b; )u 3 $0.5 \mathrm{~cm} .$

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 ir* ) yuz.1vvu$(2.0 \pm 0.1) \mathrm{kg}$, 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 of the f kt00ndvi75jsshq*:3pqlys:) ) 9o awzdq2 xeollowing statements il*qsd y0tion x5:jqq ksa):907vh) zd32wesp s correct?

  A student measures a length five times. All of the measurements lie betweenmig7kbrt 1 z4+9fhh) 2oky0dz9e o l-h $18.8 \mathrm{~cm}$ 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 ± 0.4 cm long is cut from a longer piece that is 1+y r7 gpvpm89zif(f v/2.6 ± 0.4 cm long. Hyi/9pfg+(f p mvrv7 z8ow long 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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 applied to a ne4;x/ (etg(u eok ta2mass of 2.0 ± 0.18 kg, causing it to acceleraue( 2ee; no4kg( /txtate. What 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 measur7j17dx 2mrviq ed to be 10.0 ± 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) %