Which of the following could be pc.e+fr,p tg/ ayh nn1g4in.2a unit of power?

  By approximately how many powers of ten is t q+9mfk a:/cskhz61ox ec:h(zhe height of a human larger than the height of a grain of sand f h :xc+z(sa9ko/6chz1:q kme?

  What is the value of.0byvxwxr)b v-(l 5pv $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following(6.2t/ lpzzl08 xta c rbiaktd-jkp +7 is a fundamental unit in the SI system?

  The volume of the Earth iph;u ye5 3h)bis 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 zn/p ma evhj8zef;lp* h6b-4*averagelnbe/h6h*8p; v f-mez 4*zpaj adult human in a day.

  Which of the following contains one fundamental unit and one derived unit (a 7rwf7ayo;bq/fdnt v+n p2:?

  If A=10.0 and B=0.50, which calculation will give then p0.o+sed2*3mzljn i answer with the most decimal places?eln0+s. ond* p3 ijzm2

  A car has a mass of 1000kg. A mouse has a mass n/y6 6g 7 psugx wnxp7zj6qd9.of 10g. What is the order of magnitudwqxs j u76/p9g.xnz7ypgn6 6de of the ratio between the mass of the car to that of the mouse?

  A train travels $67.2 \pm 0.6$ meters in $4.599 \pm 0.05$ 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 shapllv4 s1cc o t7p8hh;:be of a cube with sides of $2.69 \mathrm{~m}$. 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 baxe ixqjft)2rc 0v-)* w q,hu,nse 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 $8.7 \%$ 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 p,x,s(nsd y9 yxxv2novs mq3wto:0) 1graduated in millimn,s9( tpvnxv )wxy:qs ooy2d xs,m0 31etres, 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 $5.1 \% $ uncertainty in $V$ and a $2.5 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballojq8;+vyszf72oh-6ge m fy da)on is measured to be $27.3 \pm 1.2 \; cm$. 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 $2.2 \%$ 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 84;lw:pznny t estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differencbt(ii/ ;i 3l wtg5d6ipe ($V$) across a resistor is measured with a digital voltmeter to be $0.11 \; V$ . 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 fot0s9d agw)*, t06s0 w o je0nnumyba/ollowing can be reducedtoy a 00t d)o s, wse/6uan0*mjn9gwb0?

  A student measures a distancvw3hlm 6azcw 7,9tfs*e four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the besfw, zshlav t6*cwm397t estimate of this measurement?

  A student measures two lema0llr twj*d4 5g8kugv wd6.2ngths 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, arerdmc m)t*+ojp5e x7z ( 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 quantity Q varies c*otf :5ak1lk is plotted. Theory states that P should varklc1fa o: t5k*y linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shohua :j8+/5( o ttkt bu wd6b;fy*svj5fwn below.d(8*tt 5b5fkahuy jsw/;v + u:6fjbot

What is the length of the pencil?

  The masses and weights of different objec) 0cy,u y qe7kmvv2f,hts are independently measured. The graph is a plot of weight versus mass that includes error barsvm ,hy07,c vkuq2y)e f.

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, ayf- ))u.rs6siwd ne,f ;z* 0gvrw:yfqnd the diagram shows the measured values with their uncertaintiesw*6q s srw dinz.f-u) g,:erfy ;y)v0f.

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 perg pop;1o vb pq+k ,ftv3fr.i3-centage uncertainty of 7%. The radius of the sphere is 2.7 ± 0.4 cm. What is the percentage uncertainty in the ;,f 1q-pr3.obivk f gp pot+3vmass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has s/ c 7 vw/ec0xpu/h oz nue7d1w/7i0frghown 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 accelerationp; rnd (s0k)yqmb:et: due to gravity produces the followingm: : dytk0p ()nebrqs; 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 measure frnoy111arr u8b:s +x3fqcw48uvvd2ment has an uncertainty of 13q1a yorw8ffc:v2 rv+b su4r 8xndu1 $0.5 \mathrm{~cm} .$

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(*yku 3. vg0-srx dhuv $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.8 \%$ 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. Wha+b5wbjq too y +,64wdich of the following statements is corret6wjbao4 q,owdby+5+ct?

  A student measures a length five ti 6zuqx6ioj( lyver7u w vv,,-8mes. All of the measurements 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.fyh*sz t4l(m74 cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How loh4 m y*l7szf(tng 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 $\pm 2 \%$ 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 ± 0.7vy xdd*s;p3z nq xy,frx,9.y6 N is applied to a mass of 2.0 ± 0.22 kg, causing it to accelerate. What is the percentage uncertainty of its acceleratix.yy*px 9v,d , rznydf6;x3 sqon?  (数值) % (do not include the percent sign in your result)

  The radius of a circleh48( g ;drml l(dca4wu of wire is measured to be 10.0 ± 1.6 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) %