Which of the followir3e . 41,ezjgv cg4ilgng could be a unit of power?

  By approximately how many powers of ten is the height of a human larger than thd yxkpn*s bkqjz ;a.br ;+,45 k-wguw-e heighg wwn;jz.4b;uaqskr,b d- -k*y p kx5+t of a grain of sand?

  What is the value of b;8 o/x:yg+.lus0sl khpcf/d $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in s seewt1e+:g6the SI system?

  The volume of the Earth is appjietu2n2(m1ec 7x g( oroximately $10^{12} \mathrm{~km}^3$ 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 mcv(l 1vpe96 isagnitude, the number of heartbeats of an average adult human in a dayep1 vv( 6sl9ic.

  Which of the followingzi-f40+oyb3m8a qh2++p0 c jaz ezhi g contains one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dewir y,/a(4y.bn e,faycimal pla eyyfa4 iy,awb (r,/n.ces?

  A car has a mass of 1000kg. A mwemq az9k t rhw(zst9pmb95+4pv 47g*ouse has a mass of 10g. What is the order of magnitud 4rt qzw5mp9bkt*zs 9e4 mw+g ah(p97ve of the ratio between the mass of the car to that of the mouse?

  A train travels $93.6 \pm 0.5$ meters in $5.611 \pm 0.04$ 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 3b. q *6remzbg7f sou2shape of a cube with sides of $1.70 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. 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 sw)id fvcly ny1(,/2ojn0y)z$x$ 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 $4.7 \%$ and $h$ is measured to $3 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured ubsu86o uik-.7d74oi j)gtjvjsing part of a metre rule that is graduated in millimetres, ag7diu .bvoko648tj 7jju s )-is 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 $3.2 \%$ 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 meai*c5 ;6y:wp (tkqfl 2bcis ot1sured to be $12.5 \pm 0.5 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $4.4 \%$, 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 esc m;p1t 42kzz2:bxeqdg c; p5jtimated 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 differencec outb1- u,nkzq*5 e1c ($V$) across a resistor is measured with a digital voltmeter to be $0.56 \; V$ . 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 quantiz* yh2dnfbqkol ju,d4dhm4)iq6h,, .ty which of the following can be r4,2mq,ihqjk .uh, obnfl4dy )*h dd6zeduced?

  A student measures a distance fo tumu0l7bsyw .kx / i lfdkl.8f+0(dm.ur times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate od x .b.s tk fl/0(fim8w7m.+ldu uk0lyf this measurement?

  A student measures two lengths as kpbf p(g v 6*wcq*4v8jglou(.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 tn-5sn1 w9(pcy milk)co 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+lbmdf3 ek qe6:de silu0r(sn3n)p(/ varies is plotted. Theory states that P s umd3 el ki(0b3f: /)essn6+dern(qpl hould vary linearly with Q.

  The length of a pencil is measured using p iio 4c*cd9ndjr*-2p tart of a measuring tape as shown below.ni-d 9io2*r4d*ctj pc

What is the length of the pencil?

  The masses and weights of different objects are 8 tkjqo 8xb63:vx ;ezaindependently measured. The graph is a plot of weight versus mass tt8e:6;ovj bk xaz3q8 xhat 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 rectangb sl*z3b z/h/gular plate are measured, and the diagram shows the measured values with their uncertainhbl/ / gzb*z3sties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid spq xpfd)vf4 jm9:9yvq:here is measured with percentage uncertainty of 6%. The radius of the sphere is 5.9 ± 0.4 cm. What is the percentage uncertaintv:9)jfpxv :q9 mf 4dqyy in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown z( u-qadhz4fm( o18pz 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 acce r:(ydfscbqr 8*zor+( leration due to gravity produces the follow *oq:bc(zr8r(+ yrds fing 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 * ndr 0bi7uv4t l(mg:s;r-eefan uncertaintu *vr4ng eebtr; mf 7sl(-0di:y of $0.5 \mathrm{~cm} .$

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 mash yw,zh/7(o6a52zweo fwmr s .s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.1 \%$ 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 ofp+ -/opa2o bvv the following statements/oav bp2-+pvo is correct?

  A student measures a length five times. All of the meu92 0 j by)fwwo3kee.iasurements 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 9.5sklv+*j/42a mv v.n x:f uzn1q ± 0.1 cm long is cut from a longer piece that is 12.6 ± 0.2 cm long. How long is the remaining piece of stna2f.1n v +z *jx4vs v/lmkq:uring?

  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 $\pm 3 \%$ 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 ± 0.3 N is applied to a mass of 2.0 ± 0.wl. w1(gtjsl n sus;h, hzk/1908 kg, causing it to accelerate. What is the gh.znstujk( w,;ls lhsw1/91percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measa+pcs4jf y*/zured to be 10.0 ± 1.1 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) %