Which of the followin 1h;f7m bouu;on;ih. (3 dxjmug could be a unit of power?

  By approximately how many pok u,n1n2h lcp;wers of ten is the height of a human larger than the height ;c1n,kl2punhof a grain of sand?

  What is the value ofb7zv4l-0pu hu/ zu n h+,evokdz.i10l $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in th+dj5u; ;6yvg 5blmgnke SI system?

  The volume of the Earth ga 1st9h; ycl.smi3f9 is approximately $10^{12} \mathrm{~km}^3$ 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 heartbeats of an avc 5j q5ei,wdg(eraegd, ci5(5qj wge adult human in a day.

  Which of the following contains one fundamental unem,g zx60- gr+mnl o;yit and one derived unit?

  If A=10.0 and B=0.50, which calculaf)5v9gooc (zktion will give the answer with the most decimal9 oo5kv()zf cg places?

  A car has a mass of 1000kg. A mouse has apc3ucdz.1+ze mass of 10g. What is the order of magnitd3.e+uczp1z c ude of the ratio between the mass of the car to that of the mouse?

  A train travels $76.0 \pm 0.8$ meters in $7.605 \pm 0.09$ 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 whcsa 9c2xl-etf)p ()rith sides of $2.16 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. 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 kcp xp6xt9n-8hw/l w -bg -5n1,j tdtg$x$ 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 $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is me .zle5va, q i,8;dk a3playy(wasured using part of a metre rule that is graduated in millime,wa3 ,elil5avp;yq zdy8k(a .tres, 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 $3.2 \%$ 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 tm9yr m.ur . hm:sd5g14th(t two be $21.3 \pm 0.4 \; cm$. 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 $2.9 \%$, 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 estimated acur6c c;nxifpre/8/52mfx :xnu jd; ,s $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differen wnoe3wv 8zf rnod-007+r3xtp/ t lfn:ce ($V$) 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 same quantity wh h;m.sp3sf 9czich of the following can fs.psz; c39hmbe reduced?

  A student measures a distance four times. The rwxo al9kp85l z )dd,m4ephc+:,2if mreadings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm.xpc,p)f 8 h kami,d5r:emdlw+zl9 24o What is the best estimate of this measurement?

  A student measures two lengths9c5 huzadu (ve, 5 +vumr6pyvgz3+sk98hey 3t 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 bjrp)p 5o :wvb9, 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 lqmpr* .yklg e sd ,t 0 9g*4njtnk92awp7be48as quantity Q varies is plotted. Theory states that P should vary linearly wit* tp apb7, dk82re. kmq9t*wg9ygln4ne 4l0jsh Q.

  The length of a pencil is measured using partf t)p -j8zthg.0*owv ,1mhrpdli1 hu0 of a measuring tape as shown below.8zmvuhghtp.*dtw i, jf1p) h0-0l1 o r

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Theiys ( ,g dvz+4 v;etm9jeka2v; graph is a plot of weight versus mass that iv4vva im(,+ ks2tjegezd ; ;y9ncludes 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)h q:.dar v8zpva2) vb of a rectangular plate are measured, and the diagram shows:zph)bv d2a r8q.vav) the measured values 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 uncertaintygp)3d3ucdd6g kg 0 7ksj8:vff of 7%. The ra 8 usf:fd36v0dcgkp jd3kgg)7dius of the sphere 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 sh q rghl;9gu78xown 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 grasq++vb7fcdp)yb gb + .kex0z3vity produces the followingvby+0+g)sc.b7p x+qb3e f zdk 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 unc+7n7;fw vd htdertainty ofht7 nw;dd+7 fv $0.5 \mathrm{~cm} .$

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 massmr7yc4 5ox:c r $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.2 \%$ 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;*5b0 ychknshh q/e; he following statementk0 5hhbhq *;s;echyn/s is correct?

  A student measures a length five times. All of the measurements lie be))1r zf /upmjitween $18.8 \mathrm{~cm}$ 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 12.6 fgc;eeo1 o 9m9q*vlc5 ± 0.7 cm long. How long is the remaining piece oqvmolf eg;9*9ceo51 c f 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 $\pm 8 \%$. 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 ± 1.4 N is applied to a mass of 2.0 ± 0.06 kg, causing itd0rg(fv4zj :aj 72 byb to accelerate. What is the percentage u 2(rdb4:jj ygv0bfz7 ancertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circleswnla7b lb.; 4 of wire is measured to be 10.0 ± 0.7 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) %