Which of the following could jx*u9e6rji 4e1 wqht2 ym*kp-be a unit of power?

  By approximately how many powers of ten is the height of a human larger thaaba;) ca8(jdr n the height ; daaja)rb(c8of a grain of sand?

  What is the value ofu6mw9pzh l5.,*vvqrh $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fukmool4opv9, m:p q+( u83pooqndamental unit in the SI system?

  The volume of the Earth is approz xs)s)*rbs3phn;kk+ kz(. ujximately $10^{12} \mathrm{~km}^3$ 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,qi dbh1+wo.o7r *d)cx the number of heartbeats of an average adult 71 rooxd*.i w)cb+dh qhuman in a day.

  Which of the following contains one fundamental unit and one derivo /ca aj.l16vjed unit?

  If A=10.0 and B=0.50, which calculatm:m *z1y0zbdu5 b ouu)ion will give the answer with the most decimauo5)1m b:zyudm*b uz0l places?

  A car has a mass of 1000kgnn-*9dg0n 2 yv6 -wt9 xwwegdg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mangng -9w 6 yvwxde-2 *ndg0tw9ss of the car to that of the mouse?

  A train travels $73.7 \pm 0.6$ meters in $8.637 \pm 0.08$ 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 sh:xw 9s.u4e wski8;wof a cube with sides of $5.17 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 b)n j9m03 )ijch e5cfqside $x$ 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 $3.2 \%$ 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 ij fgs;;c4g ,mg/0 uci4gb ihj(s measured using part of a metre rule that is graduated 4,s0h ju/b(jmgcg cf;igig;4in millimetres, 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 $5.6 \% $ 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 measuredov)g3 uf.+p1 ce6njbpj, b9ib to be $24.9 \pm 0.7 \; cm$. 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 $0.4 \%$ and the uncertainty in $l$ is $3.5 \%$, 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 rn79 k+acke8 awoom are estimated 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 differusl bzrjyaot+wadx31 29-d;9ence ($V$) across a resistor is measured with a digital voltmeter to be $0.80 \; V$ . 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 th6zz ,ev * k3:-fauip0fqi6yqse same quantity which of the following can be red0u*ipz6i a y63 vfqeq:ksf-, zuced?

  A student measures a distance four times. The readings arrbeh4j1 nu igt7; k :gw z(xu8a;;3ubfe 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What hgjr z b:ku8; taib(;eu 31xn w4;gu7fis the best estimate of this measurement?

  A student measures two lengths as follo0hm)0 qpcig07gm+eo v ws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b,v 5ozudlx j/p(jq;h,( 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 :db) p/lmnh+jvaries is plotted. Theory states that P should vary linearly with Q/pb+dl: hj m)n.

  The length of a pencil is measured using part of a measuring efje 1s4ford+ fhl 8(e2z4x*gtape as shown belowefdf4 *e1 osr2j48fhzg (x le+.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The grae*nwu/* xt7krwp 5gv) ay (8idph is a plot of weight versus m (dwkrgxwiu7n5*v t/e)a8 y*pass 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 +7q)dc/ jmqnq are measured, and the diagram shows the measured values with their uncertaind cqmj /+nqq)7ties.

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 uncer:./h2 nlgfd1 ld bgw 6,r+;uvgmoq-fg tainty of 6%. The radius of the sphere is 3.1 ± 0.1 cm. What is the percentage uncertainty in the mass of thel:6f2+wg, ;ol/gnugqdhdf-b m. vg1r sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has *wa9s- wdy.z fu,k.ryq y35jmshown 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 producpmo/j 56iw0tx es the followingpxw60to5ijm/ 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 usintz f)dbjd8i rv)u0v;or a0k7.f1e mn0 g a ruler, such that each measurement has an uncertainty jd0 v n7ki0)rd)uzb mavf.08 eof;1rtof $0.5 \mathrm{~cm} .$

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 massdn/.q cgzzyl;qrc5:* $(2.0 \pm 0.1) \mathrm{kg}$, 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.y/oxwd26d zy v og- p.u-rtr0t4umx74 Which of the following statements is 7 ud0v4yg.4r6ywzx d-2 txorumt/op- correct?

  A student measures a length five times. All of the measurements li97 czk3oukj4 jan ;rw*1 pt.)j oldtg6e 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 ± 0.4 cm long is cut from a longsihhy rsnu.-i* 837zq er piece that is 12.6 ± 0.2 c3-qy u8sin7 h h*szri.m 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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. 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 2z6d 7 1love.em.0 ± 0.11 kg, causing it to accelerate. Wmlv6e1.7d oe zhat is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of m8(y* t 2)fsy rexms9uwire is measured to be 10.0 ± 2.0 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) %