Which of the following could be a unit of power?/qxsc0 hzt31d

  By approximately how.tb-e q v,e,rp many powers of ten is the height of a human larger than the height of v-,r.ept bqe,a grain of sand?

  What is the value of nawltm5ea+ u 1iy2*1l $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental vr5g1clz ge 19lge.( vlr1b(munit in the SI system?

  The volume of the Eark *9)5hwl pr3 wsrf4huth is 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 nearest5 6bxaixq +h *c iubh8sm7i35m order of magnitude, the number of heartbeats of an averaab55c x*iu mih7x smb 638hi+qge adult human in a day.

  Which of the following contains one fundamental uzq+8ps22+ej xltb(q j2 v pfj 9kr*j9fnit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the moss8n 025rgqxhp+k 8frp t decimal places?0p2 h+s8prq8 rfgk5xn

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order ou2tx-hy qn 6g lg,,c7qf magnitude of the ratio between the mass of the car to that of the mo ggu62 7hqny l,q-,txcuse?

  A train travels $59.3 \pm 0.5$ meters in $15.020 \pm 0.08$ 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 shap-1fe :g ;9ffz 9,pczrov tbe vu+3xuv4e of a cube with sides of $1.82 \mathrm{~m}$. 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 ssw/pc )l.0tc re6shuu-m81k8uv d )ap ide $x$ 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 $4.7 \%$ and $h$ is measured to $6 \%$, 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 thyq w4kzev7s-jg6 wtsdr (i.*0 at is graduated in millimetres, as shownsig4 (.6-*0evy qrt7dww s kjz 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 $2.5 \%$ 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 .+zd;:ibrbqc * 7 ndybmeasured to be $13.7 \pm 1.2 \; cm$. 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 $6.4 \%$, 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 ml/xtzft khj9js9 44 m(.ypi1estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differ 4w qflr-rnd.,ence ($V$) across a resistor is measured with a digital voltmeter to be $0.32 \; V$ . 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 adr, nf +)v hjgt7th)(of the same quantity which of the following can be re(tr7+vtg ) fnhd),ah jduced?

  A student measures a distance four times; .k jmgmxz) 9vch:)os. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimkm jv 9)g hzco;:.msx)ate of this measurement?

  A student measures two length;-uew7y np4 ucs 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 measured to beu;z, *gpmjvlh.. wx 2d1;wytx $(5.1 \pm 0.1)s$ 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 vb(z5fjfm (t8maries is plotted. Theory states that P should vary linearly wimftm(z bj8(5fth Q.

  The length of a pencil is measured using part of a measuring tape as shown belo 0.:b kl az7k*xdvz9fkw.kb7.9xd0* z kklf:av z

What is the length of the pencil?

  The masses and weights of different objects are independently measured. Thjk,dszm/xw0gd) ak: q - 3kpf,e grap) :gpkf3dska-j d0q,k/, zxm wh is a plot of weight 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 measured, an smi8+ w8qo1szd the diagram shows8o szqis+8m w1 the measured values with their 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 isgmd7f+n u4ftl1qostrr 7flf12 . 58 rq*njyh1 measured with percentage uncertainty of 4%. The radius of the sphere is jqry 1f.n f dnl51qtrh tgf74*m2 ol1s8+fru7 3.1 ± 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):dtay 9m fz 024cdszj 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 grav; 6lug+c7zs-m1hm a-s1q. nadux5qr zity produces the following mx;6azlu gcrhn-7ma5szq1 s.q1-d u +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 drawnz2b(xl t6;+6szd9gq2vi4 j d1ris uen using a ruler, such that each measurement has an uncertainty on stgdz+j s i;b xlid q61z692u2vre4(f $0.5 \mathrm{~cm} .$

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 ,dc6nin9z7w . qjowlq+7c lu2$(2.0 \pm 0.1) \mathrm{kg}$, 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 the following stags+pn(wa:*/p4bii9zv)a nf z temenv :z nagsizw+a9 np ()/bp*4fits is correct?

  A student measures a length five times. All of-yd 7i9 vxbs6 otqg5s3 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 ± 0.4 cm long is cut from a lonco5jiv-2 eo69ro 1h sukw5i 1sger piece that is 12.6 ± 0.1 cm long. How long is the remaining piece of st2i5o-j 6soosw1u5 ric9e 1kvhring?

  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 $\pm 8 \%$. 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 ±hr60w 6 q/nxgb 0.03 kg, causing it to accelerate. Wgn6rx /h6wq 0bhat is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measuri ddc8 ak92rh.ed to be 10.0 ± 1.0 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) %