Which of the following couh)ih,. u ut(p4 vz xwf cqr97kj5n)v)pld be a unit of power?

  By approximately how many powers of ten is the (d* bvdn+v3d7sze le9 height of a human larger than the height of a grain of bd+7n9es3vzld *vd (esand?

  What is the value ofm24i x9dtj-lq $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following w1o12v ycq (m 4dlyq:bis a fundamental unit in the SI system?

  The volume of the Earth is apprk8v79wjrmwf 9 6yk 7ysoximately $10^{12} \mathrm{~km}^3$ 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 magnituq4b*5sk j+y. 6nztopdde, the number of heartbeats of an average adult human io+sj5z* .p46 bqnk ytdn a day.

  Which of the following contains one fundamental unit /urfm+cf96g-h + jbj yand one derived unit?

  If A=10.0 and B=0.50, which calculation will give the anx c.3 .4l7koaz;y r )xhhl(zueswer with the most decimal placesz.ealul 4. okz7r;)hy (xchx3 ?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of mag(: rcb7ysii18s;qthh1bx 4 px nitude of the ratio between the mass :b;1h41st8iyx7cx(bshiq r pof the car to that of the mouse?

  A train travels $50.8 \pm 0.8$ meters in $4.837 \pm 0.07$ 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 sh9y);xg 5wl zo;vz2ug yape of a cube with sides of $4.24 \mathrm{~m}$. Each side is measured with an uncertainty of $0.1 \%$. 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 sidec+lf:f7v9 zmuquo : 3, bkubs) $x$ 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 penc72; :oc3wospr b3v x8qax3 mslil is measured using part of a metre rule that is graduated in millimetres, as shown belowoox 3c3 rwbm8s;l2:q3xsp7av .

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 $5.8 \% $ uncertainty in $V$ and a $2.1 \%$ 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 measurelgux: mu:px 6*x1bv -qd to be $20.9 \pm 1.4 \; cm$. 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 $1.9 \%$ and the uncertainty in $l$ is $4.1 \%$, 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 06ff8v/ hl fy ztqb)s*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 differencew wt1hflc*/ozis5)iy2zqn1 2 ($V$) across a resistor is measured with a digital voltmeter to be $0.50 \; V$ . 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 following canomfya2bt ; mz4xl::cmlr 0(p0 be rf:l(bl4;0y:m x tp moarc20z meduced?

  A student measures a distance four timesf-/rv m48qck. 3hvcdk. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of tmdrc vv.qk-k8/fhc4 3 his measurement?

  A student measures two lengths as ,hum h9sya9+yfollows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a xmz(y) ys/ujy5) hj c8and b, 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 quantity Q varies if o, v+ 0q2tq-sgq8mbis plotted. Theory states that P should vary 8 bms20f q+,q-gvtqoilinearly with Q.

  The length of a pencil is measured using par8*-/vac cm uutt of a measuring tape as shown below*/ct c8uumva -.

What is the length of the pencil?

  The masses and weights of different objects are independently measu2 b2cfo p5-ex psdv/:rd m+j4ured. The graph is a plot of weight versus mass that includ-j2 dc5:pxd2vpo f+ brm/4suees 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 thv7-+ f ggzu1uae diagram showsg f1u+-7augzv 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 sh wsa84egvs1qe uj/1 ugf6u7 ;phere is measured with percentage uncertainty of 6%. The radius of the sphew8a gjg1usq ef;h e617 suu/4vre is 5.3 ± 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 l z7fdypwmt;d ur6+(7 shown 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 n fbp+t:x; a1ydue to gravity produces the followin t1+b:ynpx;fag 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 rj,zmi) yplj:4/ :-pxtx ftd 5lwq4 e*an uncertain: -4z*jml:drjqp itepx f/l) yx4t,w5ty 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 mass pyyp089 a hiju.dp(*jj + /6xa;p txho$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.6 \%$ 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 following statc rqg 88*8ancbh)1;wzu1id f tements is correct1u;cbif8q8g*d wc )ntzr a h81?

  A student measures a length five times. All of the measurements lie between4 ky fv3zl/q9,lzuag0 $18.8 \mathrm{~cm}$ 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 tdac.f5 wb +ifvdf49hj1zo-4 is cut from a longer piece that is 12.6 ± 0.6 cm long. How lov.b 4fad 4owcz1-hff+i 5jd9tng 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 $\pm 5 \%$ 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 ± 0.7 N is jxn 5c)gw 3/-g;ywmjo applied to a mass of 2.0 ± 0.17 kg, causing it to accelerate.w/g-5jc;j) nw mgyo3x 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 /vl0v s;xa2xi measured to be 10.0 ± 1.4 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) %