Which of the following could bef7ecl0rv2 hubs 7 a 6g;k6vb9m a unit of power?

  By approximately how many powers of ten p5d2ji q(( ;cu dilyv+is the height of a human larger than the height of aiu( dp;i vyq2ld+j(5c grain of sand?

  What is the value of6m5 lh /motdd-o)iz 1x $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamrxk; 69e-e/m* nwgyzbental unit in the SI system?

  The volume of the Earth is approxozr(jbfmdn6 ;n,+ m;vox:0; 9i 9 h0wsvpmjjjimately $10^{12} \mathrm{~km}^3$ 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 heartbeat/b,nly)sded , s of an average adult human in a ddedby l )/,ns,ay.

  Which of the following contains one fundamental unit and onugo* ge/* nzq1e derived unit?

  If A=10.0 and B=0.50, which calculation will gij 9rss3;p5tt htp4x9kve the answer with the most decimal p5ps4shk 9p tj xtt9r3;laces?

  A car has a mass of 1000kg. A mouse has a mass of 10id l +dfynk410g. What is the order of magndik1f+4yd n0litude of the ratio between the mass of the car to that of the mouse?

  A train travels $80.8 \pm 0.4$ meters in $7.941 \pm 0.05$ 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 wiw qbjprefy6met x :ab+9 h/ao0i/ n6-2th sides of $4.57 \mathrm{~m}$. Each side is measured with an uncertainty of $0.7 \%$. 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 ba 1 v1zjrnkw vv8791px62 uszi0j 8t bxsmc49wqse 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 $7.4 \%$ and $h$ is measured to $4 \%$, 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 p0 9y uwhkit*s7art of a metre rule that is graduated in millimetres, as shown 9u0tiskwh 7*ybelow.

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 $6.2 \% $ uncertainty in $V$ and a $1.4 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloo02 y0cf8 s)e(jta2xuicoav 9 nn is measured to be $26.5 \pm 1.3 \; cm$. 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 $2.8 \%$, 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 6ej:*kj*tctt room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 10 \%$. 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 yejv +4oet06l9t6 9ngzgojh (ce ($V$) across a resistor is measured with a digital voltmeter to be $0.52 \; V$ . 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 t;b*7 5j ibslb-6uoze hx,j+w6o 1kriche same quantity which of the following can b7 w*oubl5kzoc ,bex1- ib 6s6r+hi jj;e reduced?

  A student measures a distance four to -hedg6ipmpj. 19 6m(mkqsu:tk8wm *imes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this meamh*. 1ppo8jm9m: qkmg t ie 6w-(uds6ksurement?

  A student measures two lengths as follo)0 7jpptne-hy, q1trdws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and (.04mi.c5 x ,uvunk1u hntnx xb, 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 as qj(,g: zfgyl )-z-yp+n:t02rlum47s bz gu w rbuantity Q varies is plotted. Theory states that P should vary linearly w0wuy 4j:-:lzn z+r2) bg-yz r(7bfmtpl gg,usith Q.

  The length of a pencil is measured using part of a measuring tape *-ynarwelu cu+; :t w0as shown below.;we:nu+0w *t ay- lcur

What is the length of the pencil?

  The masses and weights of different objects are ig)0kk ok mr)+dzvii*y t,-z5hndependently measured. The graph is a plot of weight versus mhid5 -yk,rm+kk g0oizz) v*)tass 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, ac0zfn 6vc p ./rt:gvo)1tfjy5 g1bbp0nd the diagram shows the measuredr0tg1cv 6/ 0:fbojbpgy.)5 v1npzcf t 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 measu:;oll(4jlsg; yjpk a:t w x(t3red with percentage uncertainty of 7%. The radius of the k w: t3l4j o((pllax:g;jsy;tsphere is 5.9 ± 0.4 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 thaf0k,. ae8,esr2 .kj xodmr gv/t:
$$
P=\frac{g h^2}{u^3}
$$
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 b8ji5r k.jnp)dzpl(sr 0h rjz*x.1x5gravity produces the following result .5 hn1)(* jxr 0 xkljjri.dpsz85bzrps:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measure ke(ajm(8 yzrg b-qearrm1(b86 l0o f,ment has an uncertainty ofer-(k (gom06mey(zalaj 1fr,q8 8 bbr $0.5 \mathrm{~cm} .$

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 masj(a ktp0af+5u26xl rng .eej, s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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-negd4:el3rlp2 )h*m ofz zligible zero offset error. Which of the following statements is corrd:*)mlzr2h 4pz3f lo eect?

  A student measures a length five times. All of the measurements lie betw ou*lj3v 68wqmeen $18.8 \mathrm{~cm}$ 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 n-d rb8ot 0wi-from a longer piece that is 12.6 ± 0.2 cm long. How long is the remainin8dnowrtb- i -0g 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 $\pm 1 \%$ 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 ± 1.3 N is applied to a mass of 2.0 ± 0.04 kg, causi )tvxaska- z3 cwnwewk 906:j0ng it to accelnez :06kwacakxvts )3ww -9j0 erate. 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 measured to be 10.0 w8 s 6 oo0faytrbb/)5h± 0.3 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) %