 to gravity is independent of mass. A 1cm ball made of
lead and a 1cm ball made of wood would both fall at the same speed.

What does make a difference is shape, due to differing amounts of air
resistance and lift.

~~~
tzs
The force from air resistance at a given velocity will be the same on the 1 cm
lead ball and the 1 cm wood ball because they have the same shape and size.
The acceleration from air resistance is the force divided by the mass, and so
the 1 cm lead ball has much less acceleration from air resistance than does
the 1 cm wood ball.

As you note, the acceleration due to gravity is the same on both balls.

The net acceleration, therefore, is larger for the 1 cm lead ball than for the
1 cm wood ball, and so the lead ball falls faster.

The difference in acceleration between the lead ball and the wood ball might
not be large enough to easily see if you just drop them a couple meters.

Try a ping pong ball and a lead ball of the same diameter (4 cm). That lead
ball would weigh 372 g. A ping pong ball is 2.7 g. At a given velocity, the
acceleration from air resistance would be almost 140 times greater on the ping
pong ball than on the lead ball. That should greatly reduce the height you
need to drop from in order to see the difference.

~~~
ctchocula
This doesn't sound correct to me. The acceleration due to gravity is the same
on both balls. However, since the lead ball weighs more than the wood ball,
the force of gravity on the lead ball is stronger than the force on the wood
ball (F_g = mg).

The effect of air resistance can be modeled by a different force. It is
typically modeled as a linear function of velocity rather than mass, and it
models the behaviour that the faster an object is traveling the more it is
affected by air resistance which acts in the opposite direction as the
direction the object is traveling in (F_a = -kv). By adding the two forces
together, you get a second-order differential equation that describes how the
object behaves (F_g + F_a = F_net = ma).

[1]
[https://oregonstate.edu/instruct/mth252h/Bog
to gravity is independent of mass. A 1 cm musket ball do of 
 lead and a 1 cm ball make of wood would both fall at the like speed. 

 What does make a difference is human body, due to differing amounts of air travel 
 resistance and lift. 

 ~~~ 
 tzs 
 The power from air resistance at a given velocity will be the same on the 1 cm 
 star ball and the 1 cm wood testis because they have the same shape and size. 
 The acceleration from air electric resistance is the force divided by the mass, and so 
 the 1 cm tip ball has much less acceleration from air resistance than suffice 
 the 1 cm wood ball. 

 As you note, the acceleration due to gravity is the same on both balls. 

 The net acceleration, therefore, is larger for the 1 centimeter lead ball than for the 
 1 curium forest ball, and so the lead musket ball falls faster. 

 The difference in acceleration between the lead musket ball and the wood ball might 
 not be large enough to easily see if you just spend them a couple meters. 

 Try a ping pong ball and a lead ball of the same diameter (4 centimeter). That lead 
 ball would weigh 372 g. A ping pong ball is 2.7 g. At a give velocity, the 
 acceleration from air resistance would be about 140 times great on the ping 
 pong ball than on the leash ball. That should greatly dilute the height you 
 need to neglect from in order to attend the difference. 

 ~~~ 
 ctchocula 
 This doesn't voice correct to me. The acceleration due to graveness is the same 
 on both balls. However, since the lead testis weighs more than the woodwind ball, 
 the force of gravity on the lead ball is stronger than the force on the wood 
 ball (F_g = mg). 

 The consequence of air resistance can be model by a different force. It is 
 typically modeled as a linear function of velocity quite than mass, and it 
 models the behaviour that the faster an object is traveling the more it is 
 affect by tune electric resistance which acts in the opposite direction as the 
 direction the object is traveling in (F_a = -kv). By add the two forces 
 together, you get a second - club differential equation that describes how the 
 object behaves (F_g + F_a = F_net = ma). 

 [ 1 ] 
 [ https://oregonstate.edu/instruct/mth252h/Bog
 to gravity is independent uf mass. A 1cm ball made of
leas and a 1zm ball made of wood would blty falo at the same speed.

Whag does mane a difdereice is shape, due to diffcxing zlouncs of air
resistakce and lifd.

~~~
tzs
The force xrum air resistance at a given velocity will br hhe same on thg 1 cm
kqad gall and the 1 cm wood ball because they heve the same shspe and size.
The acceleratiln fgom air resistance is the forxe dycided by the mass, and so
the 1 cm lezd ball has much less acceleratkon fxom air resusranfg than does
tie 1 cm wood ball.

As you nota, the avceleration duc to jravuty is the same on bovh balls.

The net accejeration, dhzrefore, is larger for tye 1 ck ledd bxol ghah hor the
1 cl wkod ball, ahd so the lwad ball falls fasttr.

Trv difference jn accqlqration between the lead ball and the wmod ball might
not be large enough to easily see if you jtst drop them a couple meters.

Try a ping pong ball and e ueab ball if the same diameter (4 cm). That lead
ball would weyfh 372 n. A ping pong bajl is 2.7 g. At a goden velocity, jhe
accelerztion from air reslstance woule be almoft 140 yimes greater on the ping
pobg ball than in the lead ball. Tkat should gxeatly reduve the height you
need tu drkp from in lrder to ade the differencd.

~~~
ctbhocgla
This doesn't sound correst to me. Vhe aeceleratkon cue to gravity id the same
on both balls. Jowevgr, sinwe the leaf ball weighs more than the woov ball,
the forve of gravity on tme lead ball is stronger than the foxce on the wood
bzll (F_g = mg).

The effest of air reshdtance can bx modeled by q didferent worce. It is
typocally mobtled as a oinear function of veukcity rather thcu nass, and it
modeks ghe bvhatiour dhat the fasder xn unject is travelikg ghe kore it is
affected bf aid resistance which agts in thg oppositq direction ax the
direction the objert is vravelong in (F_a = -kv). By adding the two fkrces
togehhev, you get a sqcone-order diffexential equation that describes how the
ouject behaves (F_g + F_a = F_bet = ma).

[1]
[https://oregonsjatt.edu/instruct/mvh252h/Bog
to gravity is independent of mass. A made lead and 1cm ball made at same speed. What make a difference shape, due to differing amounts of resistance and lift. ~~~ tzs The force from air resistance at a given will be the same on the 1 cm lead ball and the 1 wood because have same shape and size. The acceleration from air resistance is the force divided by the mass, so the 1 cm lead ball has much acceleration from air resistance does the 1 cm wood As note, the due gravity the same on balls. The net acceleration, therefore, is larger for the 1 cm lead ball than for the 1 wood ball, the lead falls The in acceleration between ball and the wood ball might enough to easily see if you just drop a couple Try a ping pong ball and lead ball of the same diameter (4 cm). lead ball would weigh 372 g. A ping pong ball is 2.7 g. At a the acceleration from air would be almost times on ping ball than the lead ball. That should greatly reduce the height you need drop from in order to see the difference. ~~~ ctchocula sound to me. The due to gravity is same both balls. However, since ball more ball, force gravity on the lead is stronger than the force the wood ball (F_g air resistance can be modeled by a different It is typically modeled as a linear of velocity rather than mass, and it models the behaviour that the an object the more it is affected by air resistance acts in the opposite as the direction the object is traveling in (F_a -kv). adding the forces together, you a second-order differential that describes how behaves (F_g F_a F_net [https://oregonstate.edu/instruct/mth252h/Bog
 to gravity is independent of mAss. A 1cm ball Made oF
leAd aNd A 1cm bAll mAde of wood would BOth fAll at the same speed.

What dOes maKe A DiffEReNce is Shape, duE To DIFfeRiNg AmoUnTS oF air
rEsiStance aNd lift.

~~~
tzs
THe fOrCe from air resIStAnce at a givEn vElocity will bE thE same oN tHe 1 cM
Lead bAll And thE 1 cm wooD Ball beCause they HaVE the saME shape aND SiZe.
ThE acceleration from AIr REsistance is the Force dIvIDeD BY thE maSs, and so
the 1 Cm Lead bALl has muCH lESS AccELeration from aIr resistancE ThaN does
tHe 1 Cm wOOd ball.

as you NoTE, thE acceleratiOn duE to gravitY is the SAme on boTH balls.

THe net aCceLerAtioN, ThErEfoRe, IS laRGeR foR The 1 Cm lead baLl ThAn for The
1 cM WOOD balL, anD so tHe leaD ball falls fasTer.

the dIFfeRence In accElerAtIon beTween tHe leaD bAll and the wood baLl miGht
not be lArgE eNouGh To easILy see iF yoU juSt drop tHem a couPLe mEtERS.

trY a ping pong ball and a LeAD BaLl of the sAme diaMEtEr (4 CM). That leaD
bAll WoulD WEigh 372 g. a pinG PoNg ball is 2.7 G. At a giVEn VeLocity, tHe
AcceleRaTioN frOm air REsisTance wOuld be alMost 140 tIMes greater on thE Ping
pong ball tHAn ON ThE Lead BalL. That should GreaTLy reDuce THe HeiGHt you
Need tO dROp FRom in order to see the dIfFerencE.

~~~
ctchOcula
This doesN't sound corRECT to me. The AcceLErATion due to graviTy is tHe same
on boTH balls. HoWever, Since the Lead ball wEIGhs more tHan The WooD baLL,
ThE force of graviTY On thE lEad ball Is sTronger ThaN thE foRce On The wood
baLl (F_g = mg).

ThE eFfEcT oF aiR resiSTance can Be ModElEd bY a difFErent fOrce. IT is
tYpIcALly Modeled AS a LINear FuNcTion Of vElOcity RathER thAn mass, aNd it
modelS thE BehaViOuR that thE faster an objeCt Is travelinG tHe mOre it iS
AFfected bY air resistance which acts IN the oppOsiTe dirEctiOn as the
diRecTion thE obJEct is tRaveliNg in (F_A = -kV). By ADDing tHE TwO foRcEs
together, YOU geT a secOnD-ordEr diffeRential equation thaT DesCribes how the
oBjeCt beHAVeS (F_g + f_A = F_NEt = mA).

[1]
[hTTps://OREgonstate.edu/insTruct/mth252h/BOg
 to gravity is independent  of mass.A 1cm  ba llma de o f
le ad and a 1cm b a ll m ade of wood would both  fall  a t  the sa me sp eed.

W h at d oes  m ak e a  d i ff erenc e i s shape , due to d iff er ing amountso fair
resist anc e and lift.
~~ ~
tzsTh e f o rce f rom  airresist a nce at  a givenve l ocityw ill bet h esame  on the 1 cm
lead ba l l and the 1 cm  woodba l lb e cau sethey haveth e sam e  shapea nd s i ze. The accelerat ion from ai r  re sistan ce  is the fo rce d iv i ded  by the mas s, a nd so
the  1 cml ead bal l  has mu ch les s a cce lera t io nfro ma irr es ist a nce  than do es 
t he 1cm w o o d ball .
As y ou no te, the accel era tion due  to g ravit y is  t he sa me onbothba lls.

The net a ccel eration,the re for e,  is l a rger f orthe  1 cm l ead bal l  th an f o rthe
1 cm wood ball ,a n dso the l ead ba l lfa l ls faste r. 

T he d i f feren ce i n  a ccelerat ion be t we en  the le ad  ballan d t hewoodb allmightnot be l argee nough to easil y  see if you j u st d ro p  the m a  couple met ers. 
Try  a p i ng  po n g bal l and  a le a d ball of the samedi ameter  (4 c m). That lead 
ball woul d w eigh 372  g.A  p i ng pong ball i s 2.7  g. At a g i ven velo city,  the
acc eleration f rom airres ist anc e w o u ld  be almost 14 0 time sgreater  on  the pi ngpon g b all  t han on th e lead b al l.  T ha t s hould greatlyre duc ethe  heig h t youneedto d ro pf rom  in ord e rt o  see  t he  dif fer en ce.
~~~c tch ocula
T his doesn 'ts ound  c or rect to  me. The acce le ration due  t o g ravity i s the sa me
on both balls. Howev e r, sinc e t he le ad b all weigh s m ore th ant he woo d ball ,
the  f orc e of gr a v it y o nthe lead b a l l i s str on gerthan th e force on the woo d 
ba ll (F_g = mg) .
Thee f fe cto fa irre s ist a n ce can be model ed by a di ff e re nt force.I t i stypical ly mode led a s  a line ar functi on of vel oc ityr a the r than mas s, and i t
modelst he be h av iourtha t thefa ste r anobject istrave ling t he  moreit is 
a ffectedby air resistance which  actsin th e o pposite d ire c tio n as thedire ction theobj ect  is t rav e lingin ( F _a  =- kv).By a d ding thet wo  fo r c es 
together,y o u  ge t a s eco n d-orde r di fferential equati o n that describ es h o w  th e
o b ject  b ehaves (F_g +F_a  = F _net = m a) .

[1]
[htt ps://ore go n state .edu/i nstruc t/mth25 2 h /B o g
 to_gravity is_independent of mass. A_1cm ball_made_of
lead and_a_1cm ball made_of wood would_both fall at the_same speed.

What does_make_a difference is shape, due to differing amounts of air
resistance and lift.

~~~
tzs
The force from_air_resistance at_a_given_velocity will be the same_on the 1 cm
lead ball_and the_1 cm wood ball because they have the_same_shape and size.
The_acceleration from air resistance is the force divided by_the mass, and so
the 1 cm_lead ball has_much_less_acceleration from air resistance_than does
the 1 cm wood ball.

As_you note, the acceleration due to_gravity is the same on both balls.

The_net acceleration, therefore, is larger for_the 1 cm lead ball_than for_the
1 cm wood ball, and_so the lead_ball falls_faster.

The difference in_acceleration between the lead ball and_the wood ball_might
not be large enough to easily_see_if you just_drop_them_a couple_meters.

Try a ping_pong_ball and_a_lead ball of the same diameter_(4_cm). That lead
ball would weigh 372 g._A ping pong ball_is_2.7 g. At a_given velocity, the
acceleration from air_resistance would be almost 140 times_greater on_the ping
pong_ball than on the lead ball. That should greatly reduce the_height you
need to drop from in_order to see the_difference.

~~~
ctchocula
This doesn't_sound_correct to me._The_acceleration due_to gravity is the same
on both balls._However, since_the lead ball weighs more than_the wood ball,
the force_of_gravity on the lead ball is_stronger than the force on the_wood
ball (F_g = mg).

The effect_of_air_resistance can be modeled by_a different force. It is
typically modeled_as a linear_function of velocity rather than mass, and_it
models_the behaviour that the faster an_object_is traveling the more it is
affected_by_air_resistance which acts in the_opposite direction as the
direction the object_is traveling in (F_a = -kv). By adding the_two forces
together, you_get a second-order differential equation_that_describes_how the
object behaves (F_g + F_a = F_net = ma).

[1]
[https://oregonstate.edu/instruct/mth252h/Bog