Which of the followi6d0 hp et; 5pijmj*sb8ng could be a unit of power?

  By approximately how many powers of cm;to .*tavn4ten is the height of a human larger than the height of a grain of otn vtac .;*4msand?

  What is the value ofx;dz+ 9e3yn1pl1 jyib i*iu y+ $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI systembp9f- w) 7;vx,rb(dwd -byii0c+bhyf?

  The volume of the Earth u(n5ie x+at g b;.i 5zv,zcqw1is 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 heartbeats6s6p 48hu m tat.hv-h9t2vwv u of an average adul m hu92h8wvt6ps . thtuv4a6-vt human in a day.

  Which of the following contains one fundamental unit and oyf4.49b4v eys(n8fj zd)di ii ne derived unit?

  If A=10.0 and B=0.50, which ajri+25op-t 0tfxjojcqb 7zxg- (4q8 calculation will give the answer with the most decimal rz x54a+jc j-q082 xfio7t(j-pg tbqoplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10gs z cz a4nzg 1 hpc4y9l-7i5vi(s-i7uy. What is the order of magnitude of the ratio between the mass of the car to that of the mouse?gszu c il4--y 9ph1z7ci57 iyv( sna4z

  A train travels $92.3 \pm 0.3$ meters in $13.802 \pm 0.04$ 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 shape of a cuby cr/8iui*j:i e with sides of $3.74 \mathrm{~m}$. Each side is measured with an uncertainty of $1.2 \%$. 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 bahng4 1cr:wchep z-76 knolwv / s183fuse 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 $5.3 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a penc,.* bvx3 ,m0mimvmcvg il is measured using part of a metre rule that is graduated in millimetres, as shown belovv3 b mm,0mmi.vgxc* ,w.

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 $6.4 \% $ uncertainty in $V$ and a $0.9 \%$ 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 be mcf u825dvtq a2sk*e4 $13.4 \pm 0.8 \; cm$. 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 $0.8 \%$ and the uncertainty in $l$ is $5.2 \%$, 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 rijirk1 0jh3- woom are estimated 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 differen50(tulop4 itw ad(nb/ ce ($V$) across a resistor is measured with a digital voltmeter to be $0.54 \; V$ . 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 samzhc uwyd ,fa4-0/5( e) 8,y pvqziipmae quantity which of the following can be reduced?up ze, avyci ( m4izh)pqdw8fya0/ ,-5

  A student measures a distance four times. The readings are 37sw-myx, y6; rk.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of t6, yk;m wysxr-his measurement?

  A student measures two lengths as followsv4mf 4(s+nt5ey( im* bax+zx -vlkxr3: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events,-fcjr; 5ojy oi4g 46c*rnlot: a and 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 quantitkd5akz z*hd*9 y Q varies is plotted. Theory states that P should vary lzzad hk5 k**d9inearly with Q.

  The length of a pencil is measyrw5lr(/y1 .gyei yn 6ured using part of a measuring tape as shown belowwg/ (ny5e.yiy6l 1ryr.

What is the length of the pencil?

  The masses and weights of differeri2i0jumlw.( fp w- 1m+b1f qtnt objects are independently measured. The graph is a plot of weight versus mass that rp 0fw tiu21j+-mf iw.q1l (mbincludes 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 3zcq9d3bu f487-rgd qmjo rh*rectangular plate are measured, and the diagram shows the measured values with their uncertainties. 7bm u8rzghrqoq9 3-d3 *fc4dj

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 percentage uncertaintj+7lhl5 z emz,n0 -. btc4fgqdf5wnl -y of 2%. The radius of the sphere is 3.9 ± 0.2 cm. What is the percentage uncertaigjfhc7 +ld wf55n lzq.zt,b- 4n el0-mnty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data ha xapxh7 xle(8/s 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 due to gravity produ nq8-ky*iv; pzces the followingpy-q z*v ;8kin 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, lyjsncv7sq av 4 0q6kkyag q455(b:6s such that each measurement has an uncertainty of:nqqq ssg v546l jk ay4vca sy6k507b( $0.5 \mathrm{~cm} .$

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 7vyis rz76;ek $(2.0 \pm 0.1) \mathrm{kg}$, 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. Which ol7 ro+e7qv5dvf the following statements is corl7 odv+qr 5v7erect?

  A student measures a lengc w :.g)dd qdmw4sm;dxs3)s s-th 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 9.5lp ca37l5i7e usq e0/ uzk iyv0kb39zgu:41cl ± 0.2 cm long is cut from a longer piece that is 12.6 ± 0.3 cm loic07sl 4e370u1lpi3zz e9kg vckbulu :yq 5/ang. 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 $\pm 3 \%$ 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 ± 0.9 N is applied to a mass of 2.0 ± 0.25 kg, causing wlov:g 9vu0sg71jsjy, x0q2p it to accelerate. What is the percentage uncertainty of its acceleration? vxqpyss9: guvj1 0j0l72, owg  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0 ± 1.4 cmsm/ a 90a41g.5ppf 2pqumiozr .
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) %