Which of the followingc+. gr4vo*0 cs +bxmva could be a unit of power?

  By approximately how ma xk t ibre3rqiw fc:jcs de;95a:805z.ny powers of ten is the height of a human larger than the height of a grain of;:3f:acstqexz0i ew r59b8d .kj rci5 sand?

  What is the value of k70 *feidv6 xx- k1vwzql fe25$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a c3g2+j qj,lvhs*.k iv fundamental unit in the SI system?

  The volume of the Earth is a0t(x t+ qmo4tj34 duvhpproximately $10^{12} \mathrm{~km}^3$ 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, them v/ rswdl:c5h2h2k d)s7r8nr number of heartbeats of an average ah25:hl 8 r7cs) srdrnkw/m2 dvdult human in a day.

  Which of the following contains one fundg+mw9)we5 xy gamental unit and one derived unit?

  If A=10.0 and B=0.50, which ctguxt48n 5i 9tjbc :d,alculation will give the answer with the most decimal 4 jcdn9xtbu 5ti:8t,gplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order qt32n ygwz0l)fkl hx;1:h* je of magnitude lq:ez*j3y2f1; 0n tw )khxglhof the ratio between the mass of the car to that of the mouse?

  A train travels $93.2 \pm 0.4$ meters in $14.110 \pm 0.06$ 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 shape of a cube with sidesss *5 ,srd1pkk1tlcg7 of $1.82 \mathrm{~m}$. Each side is measured with an uncertainty of $1.9 \%$. 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 ,5b0o +gmbawg q/ nn7sbnz36sbase 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 $5.1 \%$ 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 pencil is measured using par ld) z g3jgfuk6x+43gct of a metre rule that is graduated in millimetres, as sho+kc uj4 x)3fl3 zgg6dgwn 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 $6.0 \% $ uncertainty in $V$ and a $2.6 \%$ 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 b9kvr+tq q)n* to be $26.3 \pm 1.1 \; cm$. 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 $1.7 \%$ 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 side0dqnq0 ch+ n8x,qqxt5s of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 3 \%$. 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 differen032zkb njy-zz ce ($V$) across a resistor is measured with a digital voltmeter to be $0.18 \; V$ . 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 measuremd lbn c en/nk*+5g:fu-ents of the same quantity which of the following can u:lned+-c/ fnbnk* 5gbe reduced?

  A student measures a distancr 6t 9cf9s0kaxuqs4i. e four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What ik4rsq9s9 i6atfx c.0us the best estimate of this measurement?

  A student measures t6gmur7x tr*szlk8 b.( wo lengths as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, ayfn) yswt a7 vgby0y,tj.:n*. 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 a9wxr; jj( l8d65lf+qer gl+jls quantity Q varies is plotted. Theory states that P should vary linrewdlx9+6l; lg+(8 jljq jf5rearly with Q.

  The length of a pencil is measured using part of a measuring tape bz5or. (cl-r:;o ;se hlt8z u ql+rgs*as shown below.;* 5s+ otg-z :rhl q.zl;brelo(rs8uc

What is the length of the pencil?

  The masses and weights of different objects are independ-8fhsi,it tt:vts70 n ently measured. The graph is a plot of weigtiv f-i,7nh0t:ttss 8ht versus 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 measuqjmej 22c72 oxred, and the diagram shows the measured values with their uncertaiojm2xeq7 c22jnties.

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 uncertainty ofi mix:/j0 bt xf :7l*4g,lalfl 3%. The radius of the sphere is 1.4 ± 0.5 cm. What is the percentage uncertainty in the mass of the spher,xti4:0ljba/l lx m:ig *lf7fe?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hai1wx i bht3)ho8t7.2j bnpyo.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 acceler2fazhkr*4a z )ation due to gravity produces the following resaf )4k hz*2rzaults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 an4 tao)u/rzc 5top06 ca uncertain6uzt ap5cra) 40oc/toty 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 n7qefwg9 p;3sy/fr7 z $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.2 \%$ 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 thedoxnpnjjx -(md)c; +4 following statements is correct?dj;-4on xmp +cnj()xd

  A student measures a length five times. Awzxfqnc8 /s4qq a)a;:ll 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 ± 0.2 cm long is cut from a longer o 3 r(y/x1cqfo6:lx( lpyb 3uppiece that is 12.6 ± 0.8 cm py lr (yofu/x1 3cl(xp:b 36oqlong. 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 $\pm 9 \%$. 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 ± 0.5 N is applied to a mass of 2.0 ± 0.11 kg, cppc:l9iq,tmcn :t ;6 rausing it to accelerate. What is,qttrp9:l ic ;pcm:6n the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of w539 g: fngnud9ay)j9wq lx4joire is measured 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) %