Which of the following could be a unit of power,m u:70jl; rk6aj hkhf?

  By approximately how many powers of ten is the heigvi)kf de; )8iw3sgj7uht of a human larger than the height oe ; fis8vw7d3ug)jk)if a grain of sand?

  What is the value ofiq4:q3f i 4*rc-k onio $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system?b(l h: s 9slzx -)6nhv;tu;qgc

  The volume of the Earth is approximt73x iefwt n((h,9vmaately $10^{12} \mathrm{~km}^3$ 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 3hq xkvc,0o /pnumber of heartbeats of an average adult hu,op 3xkqv /hc0man in a day.

  Which of the following contains one fundamental unit0epe/ ,okyz b8k/x)ii and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mo6a b8ytd1ott6 7n 4rkxfv3p f6st decimal vo k4fy6 f 3p xt8td1a7nr66tbplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is 5zhejuy2xati p9 )m;;the order of magnitude of the ratio between the mass of the car to that of tzim;e xj )huay 2;5p9the mouse?

  A train travels $63.6 \pm 0.3$ meters in $3.027 \pm 0.07$ 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 shape of a cubelc)p 3ln mmmljd83u0. with sides of $2.82 \mathrm{~m}$. Each side is measured with an uncertainty of $0.6 \%$. 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 siee;eh p5)a eb l:sz;*d cn.xw.de $x$ 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 $6.4 \%$ 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 using part of a metre rule that; hqahyp3f-y8 is graduated in millimqy p-;a3f y8hhetres, 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 $4.3 \% $ uncertainty in $V$ and a $2.9 \%$ 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 to9l3 w6*tdzwbl qkk s3z x+02nh be $28.4 \pm 1.4 \; cm$. 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 $1.5 \%$ and the uncertainty in $l$ is $2.5 \%$, 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 esta ub( 6jiviu jo/0v9b 7o5wc2.yept( gimated 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 differe/u8y)ihdxz q k zz)26ance ($V$) across a resistor is measured with a digital voltmeter to be $0.72 \; V$ . 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/l)5rr2 m.alwfeamk ) the following can be redk/) ma2 w5fm r)elra.luced?

  A student measures a di x rf2f,ns5v6rstance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurement? n6x2 ffsr5vr,

  A student measures two lengths as folo+l 0 fg(r p(e 2-x3wj 08jwqoi)ry pdwkkt6)clows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, ar hk6*fhh1lxj3p4u7 qi e 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 Pmez+3 x-u 2sxyg.ss9gwwvz2m+ )p r- b as quantity Q varies is plotted. Theory states that P should vary linearly wiz wsyrvxu2mge2z9s w+- m+3gs-p.xb)th Q.

  The length of a pencil is measured using part of a m 0).ahxt6z1z2omt4l 0 g 7pn1c wezjbheasuring tape as shown below. ztt1 x)m h4pb2jz70wao0 e16clngh z.

What is the length of the pencil?

  The masses and weights of different objects are inde ome29hng qre*s90qu5pendently measured. The graph is a plot of weight versus massohuqsn g5 * ee99m02rq 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 q (,n/rd owve6fjolrc 38*jn*measured, and the diagram shows the measured values with theif3njq8 jow(/*rv6dln * ,re ocr 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 me b2umy+5y9 ggf,:h/*f 7c 5fd7 s/yvxqetv fthasured with percentage uncertainty of 4%. The radius ds 2gm7f9txfh 5cf7/v yq :v ,yf /tu*ehy5+gbof the sphere is 2.9 ± 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 kxp.th5 v +djk7c9bv y-4esa. 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 d *iyw5 beul;,f0oo elbzw;1 4 9mpx4-fv1txunue to gravity produces the following results5u9nefw; -oy4 ,e l4 iwxu1m v;0*zfo ptbx1lb:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 -wy,q 15r vxne*z; g+nxn1van an uncertainty wz+va;nnnv1n1xr,xq e5yg-* 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 bu 4*m1epnc4gb * p0pcq95tu m$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ 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 foljosdjb94 tl m a2 8+ .kqn5maugr/tb7.lowing statements is correctou b72tjar/ s.d+g k4l58qm .jta9nbm?

  A student measures a length five timee6fjg e96-w vexio-s,bz5d* ss. 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 cut3ccfs5 -- vvyr from a longer piece that is 12.6 ± 0.4y35rfsc- -vcv cm long. 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 $\pm 7 \%$. 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 applied to a mass of 2.0 ± 0.16 kg, causing it to accy1k/zcpg 0g+ xelerate. What is the percentage uncertainty xg1ycz 0+k g/pof its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is 1tvwcu (;0tmqxg zqy 3 m j*kxb-3q+8ymeasured to be 10.0 ± 1.5 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) %