Which of the following could be a u1hasb139 vf iunit of power?

  By approximately how many powers of ten is the heighrvfoe,ebi92 6 8zk 1zpr378h .ke yqdst of a human larger than the height of a grain o z.6 z7qser y8b2e3pd1k, ofe9hkvr8if sand?

  What is the value of cm8kj0j 7 izbc+u+c /q$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundac(j )c tcpr63amental unit in the SI system?

  The volume of the Eain4,fr/xepr:jdts-5 9euah 4 3v6 bfurth 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 orden x g7ugfw.z72ugz4 4ki8jpq+r of magnitude, the number of heartbeats of an average adult human+i.xgpn8jg27w7 kz44gq zuuf in a day.

  Which of the following contains one fundamental unit and one derivn gm6.:hg knuzq2:*amed unit?

  If A=10.0 and B=0.50, which calculation will g (u yq4g;3kzswi4lv5dive the answer with the most decimal places?3wkdv ui (q44gyl;z5 s

  A car has a mass of 1000kg. A mouse has a mdj+f 3 )ktr(.63 uxto bxgzc9qass of 10g. What is the order of magnitude of the ratio between the mass of tz3bu(+ko6xd. r9 tt)f qgxjc3he car to that of the mouse?

  A train travels $94.6 \pm 0.3$ meters in $11.010 \pm 0.06$ 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 o1q.zkn*kerg d10s 5t ff a cube with sides of $5.25 \mathrm{~m}$. Each side is measured with an uncertainty of $1.4 \%$. 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 7cz/ y;-j 4 *pkvpkr . lep+m4tw+vyd+cht4dkbase 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 $9.1 \%$ 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 r/;d zs+g6bvoq(5 dn lvule that is graduated in ms +b5d(/z; dqolv6gv nillimetres, 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 $6.5 \% $ uncertainty in $V$ and a $1.8 \%$ 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 measured t:fbk *:9j 1deh-zxphfo be $29.0 \pm 1.2 \; cm$. 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 $2.0 \%$ and the uncertainty in $l$ is $3.3 \%$, 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 estimatu h/nhb6( z5 kpbth*-4la0cyt ed as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 differencefxt zl8/ lny -3+qt:mi ($V$) across a resistor is measured with a digital voltmeter to be $0.08 \; V$ . 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 yi2 vb+/ 2f)zy9bguz tof the following can be retz 2ib/yu)2 vfbyg9 z+duced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 4c9wfi *x3:thuwm2 cgb.qfhs w(b.) r38.1 cm, 38.2 cm. What is the best estimate of thcb)mwb(c9h txiw2.gqrhf.3 ws:f u 4*is measurement?

  A student measures two lengthebz4 p(9zglc)s 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 measured to +rtfpz2b zn43j.h k l6be $(5.1 \pm 0.1)s$ 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 qulh(s(p,5jnx/t o.etn -n4 mrrantity Q varies is plotted. Theory states that P should vary linea ltr4(,nsr.mnt 5hnoe x-/( jprly with Q.

  The length of a pencil is measured using part of a measuring tape as shown tqz0(et06,o9uv 5w,la px uhx/db+yv below.65uqbp(loax90y+d thv,,w e t/u zv 0x

What is the length of the pencil?

  The masses and weights of different objec( avr+z )mlb0edg3(ppts are independently measured. The graph is a plot of weight versus mass that includes arglv(p pmb(3z0 )ed+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, and th ,yeqgh8jybv).ytar0nv4w ( 1e diagram shows nt8(01v g hqae4bj )vwy.,yrythe 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 percentai m9*lw4/e zawge uncertainty of 6%. The radius of the sphere is 4.9 ± 0.4 cm. What is the percentage uncertainty in the mass o laz*9wmwe4i/f the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shoqfrt*h15rpa bw 8/hsi0pb1 8+xq un 4swn 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 measup - f -:nz;yo(uuw0dep6i 4aplre the acceleration due to gravity produces the following results;ed6p (iza lw: op-n 4fu0pu-y:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 rule 0h6-ul,gp0i2w q1qzi8ero u er, such that each measurement has an uncertainty 21eqz8q 6urelwi00,p- u ogi hof $0.5 \mathrm{~cm} .$

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 masd vskdk;u bm6)14c uo:jl0-gus $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 followimrkgucn:v wy.0r +m8-3e8i vz*di0ubng statements is corremdi0 k*0:v e in3uw-ryc+u b8.rvgm 8zct?

  A student measures a len. qkfd30 w0brvgth five times. 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 ± 0.1 cm long is cut from pd+ 8i *gjw 5xrn u(d:w51amoqa longer piece that is 12.6 ± 0.8 cm longiprwma( : 81xj5d5* onuw+qgd. How 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 $\pm 10 \%$. 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 ± 0.01 7h1x0awt vqi 6kg, causing it to accelerate. What is the percentage uncertainty of its acceleratixtvq6ah0 7 1wion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle4 *pu.5ad zyce 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) %