Which of the following could 3qf gx g/9unr28ss/hd u3p5sf be a unit of power?

  By approximately how many powerii tspg4m: ;vq6qvi7 fy-ff0:3ws zwb/y+ :qg s of ten is the height of a human larger than the height of a grai-6q7vygs:/m:4z+f s:ivqtyp wb0 iqffw 3 i;g n of sand?

  What is the value ofrh) vm 1si. mi- q8:v+h ycwessekw)z+5s)in ( $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syste xy8:s ,+ga0xw/a y:iy( isipjm?

  The volume of the Earth is approximately mu. 2 6ymed ci*d,uo7i$10^{12} \mathrm{~km}^3$ 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 n 1;h0 2nlswndrpvdc:15w8tzdumber of heartbeats of an average adult human in acth;wz8nw1 dv0dln:5 r d21ps day.

  Which of the following contains one fundamep;v - ge- ao6,n9mttrgthjsyz3*/( suntal unit and one derived unit?

  If A=10.0 and B=0.50, which calcfkl56 w+x; kcvulation will give the answer with the most decimal placcl6x v+; fk5wkes?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the o y-9wo*kua hz -osr6;dny2ah9rder of magnitude of the ratio between the mass of the car to tha-9s wa *oo9yzn udrhhy6k-2a;t of the mouse?

  A train travels $94.3 \pm 0.6$ meters in $4.746 \pm 0.08$ 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 wusj5 *w)w. ybxith sides of $5.03 \mathrm{~m}$. 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 basz;/u oq x r5/pe.*ymlfe 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 $9.7 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured ux(klam.ahv8;-, md ex sing part of a metre rule that is graduated in millimetres, as(;xaxam-8h, m. ldevk 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 $4.2 \% $ uncertainty in $V$ and a $1.7 \%$ 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 measured to bed++wyxigyp3fyvk,*k ))az v 2 $13.1 \pm 1.5 \; cm$. 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 $0.6 \%$ 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 z 1v4uf tnckfy; m/1(,eaqb0o/e: xdfroom are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 vtz xvgl: f w9,i+*dg9($V$) across a resistor is measured with a digital voltmeter to be $0.68 \; V$ . 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 following c9oe hnm4hwi59q7gbj 5an be reduced?be95h9imh4g j o7wn5 q

  A student measures a distance four times. The readings z9di8v3ne aqn*f(xh9 are 37.8 cm, 37.9 cm, 38.1 nhd3aqni9ez8* v (9xf cm, 38.2 cm. What is the best estimate of this measurement?

  A student measures two liq v*4)/i,rzpo.jzhmengths 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 events, a and b, are me/16f6 t8mxvxcdgmb,3 / qz wseasured 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 3h h/usdqup .-is plotted. Theory states that P should vary linearly witdhs-uh/.q up3 h Q.

  The length of a pencil is measured using pkd q)miswq*241c b w+zart of a measuring tape as shown below.siqmd1c+)4 2qk b wz*w

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The s1htqjv va.; 5q/)f vegraph is a plot of weight versus masa/ vv)q15s hefv; q.jts 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 rectangulm51mbbr +xz)rfb *8f nar plate are measured, and the diagram shows the measured values wz 5 bfxm1m+ )frb*b8nrith 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 a096a,dfp7bcb3h h3umfxni:is measured with percentage uncertainty of 7%. The radius of the sph 7fc 63n,3i:bb0hauhfxp m9adere is 5.4 ± 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 sh0pjr7vuub50//x zh7iud h r:aown 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 follo(2 w/f7o0q safmqy 7gtwing rey0w7q f ft agm/(q7so2sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 eaczgt73 hidr2:alm )d9 mh measurement has an uncertainty l 7mt9z dg:ihd )2arm3of $0.5 \mathrm{~cm} .$

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 n * krup7m67erxenvem.orhi k;5..j .$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.5 \%$ 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 th,j7 rs6u 81y*/sk cj- lvosyjme following statements is corcsjrk* v y/y1mj,8lj -u7s so6rect?

  A student measures a length five times. All of the measurn q(,h/4kb sbs5vn( tvements 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 ± 0.3 cm long is cut from a lonpr :h98/m*w v/xtg/ko he7osn ger piece that is 12.6 ± 0.2 cm long. How long is the remaining piece of string? x:hmonhp8/e sv/to9r/ *kgw7

  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 $\pm 3 \%$. 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 ± 0.6 N is applied to a mass of 2.0 vh)ssid68xzm* 6;dhr ± 0.01 kg, causing it to accelerate. What is the percentag8r)6iv;6*dsdhs z hxme 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 be 10.0 ± 2.3 ck 59 yb,fc.li 2jf2qxqk;km,4bl sufb0d;2od m.
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) %