Which of the followi7d 7v/v vppd4bi+gto1 ng could be a unit of power?

  By approximately how many powers of ten is the height of a human larger than tmg1 rsjni9j+*x i: 4mhhe height sm 9irj*+ 4:1hgxnji mof a grain of sand?

  What is the value oft7 iablrd;3 9p $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in t7qy cx 6jn,reua /es5l8b38s-ni4 wm zrcxb)+he SI system?

  The volume of the Earth is approximate:s zdatck)qmh9 i,uv)-u; 1;pjq+ j yzly $10^{12} \mathrm{~km}^3$ 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 ofh 9hinuzbbpl9ps.c5 +5(g)pl magnitude, the number of heartbeats of an average adult hh) s 59cnh.l9pb5 (uzig pl+bpuman in a day.

  Which of the following contains of ) w i- 1lm/i.72)z /iu3uc1/ryuwhhmlx igaone fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give y ku.yw/d8 n y4( brb ;daq-g+ko*.dw0bh0jvvthe answer with the most decimal plac ahnyww8vjb..b;*kq d0 r+kgy0ud 4 -ybdo(v/es?

  A car has a mass of 1000kg. A mouse han6-qxi hy;8*9a4.mu0liwqrqel u y z :s a mass of 10g. What is the order of magnitude of the ratio between the m-luh9 q we8xurqyzi lm6. qa; i*40yn:ass of the car to that of the mouse?

  A train travels $97.2 \pm 0.8$ meters in $12.614 \pm 0.06$ 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 sj+0q-r)cm ja mhape of a cube with sides of $3.83 \mathrm{~m}$. Each side is measured with an uncertainty of $0.2 \%$. 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 sp,*sm v- sgm,gide $x$ 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 $9.9 \%$ 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 par 5soqd+hj.) 6y;8; tzgc 9t9nu jzgimxt of a metre rule that is graduated in millimetres, as shnsc .jtqg t h6y5u8j9)ixdgzo +z;9; mown 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 $4.7 \% $ uncertainty in $V$ and a $2.8 \%$ 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 to b0snnnw 8lcd 0jhs u))40nk5oue $23.3 \pm 1.6 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $2.2 \%$, 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 estimaaud:o wz nap7zf08*2gted as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differxf/i5 1to6jmqcm vo+*ence ($V$) across a resistor is measured with a digital voltmeter to be $0.69 \; V$ . 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 fogl g)uooaq9* 1llowing can be9u1lagq o)*g o reduced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 38.bkda;g ,/zda: x 1yqh/1 cm, 38.2 cm. What is the best estimate of th1/ ;a/ yqdkdzx,a: bghis measurement?

  A student measures two lengths as followsgah8szl :q8ll )5hm.f: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and bykkjfvg 6w5 97, 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-:a j(/hzsbp b P as quantity Q varies is plotted. Theory states that P should vary linearl-:/bph j (baszy with Q.

  The length of a pencil is measured using part of a measuring t yit dg7)quwk x761od7ape as shown below1xydowq7ui)t k 677 gd.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Thuyvqs py. 5f 7huq9;6ze graph is a plot of weight very;h6 5 7uufy q.9vqpszsus mass 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, and the diagram n5:dje,wo * )u fppwm:shows the measured values with their uncerppd nem:wj w,*:ouf5)tainties.

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 pellhh,d(-)oxrhmt.bav i(-p zy 7 is *4rcentage uncertainty of 4%. The radib*hm-a tro,)4y( ix .lv-(dilzh7 ph sus of the sphere is 3.0 ± 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 th aim 8a0ujor:(at:
$$
P=\frac{g h^2}{u^3}
$$
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 gravity produces thmzdd gr9 jekcj)( sz,6)kk7j7 e follokdejjkc ) mk,7z7z9d6sgj()rwing 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 swp0k g85b;kd (g,bxu)5zx,m+ bt f hseach measurement has an uncertainty o;kmb w) spbgk+f,x5 ,5zu d(b80 hsgxtf $0.5 \mathrm{~cm} .$

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 masvkp j z6 hiw5:ka7x1b9s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.6 \%$ 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 err95 ,vdaufnkj ,or. Which of the following statements is cod 9 5j,,kaunvfrrect?

  A student measures a length five times. All of z/ vc mzej30o ch5p9q*vys77dnm k:1wthe 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 ± 0.3 cm long is cut from a longer piece that is 12.6 ± 0. rr0rqajc ic0plh2.j./11mcf 7 cm long. How long is the remaining piece of a /lj r ci.0h10 pc2rmf1rjc.qstring?

  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 $\pm 8 \%$. 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 ± 1.4 N is applied to a mass of 2.0 ± 0.10 kg, causing it to acc0bajx-w5lxn / elerate. What is the percentage uncer5xxj wlb n0-a/tainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circlqrk( k ;16ifg67mkj wxe of wire is measured to be 10.0 ± 1.7 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) %