Which of the following could /(mp4nl- nube 6 tp3dzbe a unit of power?

  By approximately how many powers of ten is the height of a humi -)rp2 syz+hran larger than the height of r-hiz+ 2ysrp)a grain of sand?

  What is the value of v kp/ bemj uoj)hdres-- (pdul(9m875 s84gjh $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundxk:wx9-r2 nbk amental unit in the SI system?

  The volume of the Earth is approximatel.smj4zc68s eiy $10^{12} \mathrm{~km}^3$ 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 heartbeats of anrhf10f -i 9ickp4 bc/y average -i ryf /h1ccb409kipfadult human in a day.

  Which of the following contains one fundamental unit and oneu y7bne+ 5mqd; derived unit?

  If A=10.0 and B=0.50, which calculation will give k, r2seau8o4pybz : i(xis0a- the answer with the most decimal place2iso -(4pbzk0ir:a 8 ,aexsyus?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the i.l wcii)rj 26order of magnitude of the ratio between the mass ofj icil.2)rw6i the car to that of the mouse?

  A train travels $96.2 \pm 0.3$ meters in $8.655 \pm 0.04$ 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 ,f- m* fnf3*xdk;ya2izlr+ybof a cube with sides of $2.30 \mathrm{~m}$. Each side is measured with an uncertainty of $0.9 \%$. 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 ba0qypo f2a/ -zjse 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 $5.9 \%$ 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 part of a metre rule that is m .zc1:w*ltxkh (vc. rgraduated in millimetres, ah.cc. wkm tl: z(r1*xvs 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 $3.6 \% $ 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 1 xt4f3s9;lvbv a2jge;9p bvkbe $17.9 \pm 0.5 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $5.8 \%$, 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 arei(a-sfvx8 hb s256wtm7o kg7u,mv mv1 estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 4 \%$. 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 differa0jamdwbti d )grd:05*vk*(sek .i(xence ($V$) across a resistor is measured with a digital voltmeter to be $0.58 \; V$ . 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 following ctrcq0sa7+9 oht57gg g9f e 4eaan be reduc g+fh9rso cgte5et7aq 9a4g 70ed?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm/xh7 +-)jkeh2xilwz s , 38.1 cm, 38.2 cm. What is the best estimate of this measureme/ew- hsk 7xj)i2zlx+ hnt?

  A student measures two lengthqoykec3)x 8n f-hsm ,u oao65.s 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, a and b, are measu) -gd;:okbxd 8 f2qagsred 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 quansy,pvfh -)zw:tity Q varies is plotted. Theory states that P should vary linearly withwpvh)sy -:z, f Q.

  The length of a pencil is measur2r4pa- qxupp *ed using part of a measuring tape as shown belowx*u p p-rp4q2a.

What is the length of the pencil?

  The masses and weights of different objects are independentg axgw06k)+ rbly measured. The graph is a plot of weight versus maxbwk rg ga)+60ss 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 measl 9 x2lzkc-m))k mlmikr1us)86p+ juyured, and the diagram shows the measured values with th2u )c)r-xlk 8m)l+pkui1s jy9lz 6kmm eir 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 sjk-lq2co -d,lc 4+yydphere is measured with percentage uncertainty of 6%. The radius of the sphere is 2.9 ± 0.4 cm. What is the perkoyy-ccd,2 j-l qld4+centage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has svqsxw h,.h0ev5 n*lq 6hown 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 measuq:lo6g78 e7m a,dynnfs ( 3wxnre the acceleration due to gravity produces the following resul,8w:o nnx6 dmsa3(7yql7enfgts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 aw/ aa7 d7+dcmhas an uncertainty dm+7wa d/c a7aof $0.5 \mathrm{~cm} .$

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 gfkn0h /*fv(;ne zxz+ $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.1 \%$ 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 eavwqvu-us;9men04i8y 4oh- zero offset error. Which of the following statemenyw 9-q-uoei 4 8snmv;0uheva4ts is correct?

  A student measures a length five timr1l-sk*yw b9r es. 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. 3sk*crl33/m0 fs inel5 ± 0.3 cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How long is the remaims 03nl3rics*lk3 f/e ning 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 $\pm 5 \%$ 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 ± 1.0 N is applied to a mass of 2.0 ± 0.02 kg, ct:r6x ocvj(4pausing it to accelerate. What is the percentage uncertainty of itjp rtco: xv6(4s acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wpxowp fl-dzgt .+:g)3tue)1z3dt-id ire is measured to be 10.0 ± 1.9 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) %