Relatório 02_A Alberto Senna

8/19/2019 Relatório 02_A Alberto Senna

1/11

MINISTÉRIO DA EDUCAÇÃOINSTITUTO FEDERAL DEEDUCAÇÃO, CIÊNCIA E TECNOLOGIA DO PIAUÍ-

CAMPUS PARNAÍBA

Movimento retilíneo uniforme e suas características

&

Encontro dos móveis em MRU com sentidos opostos, sobre a mesma trajetória

103200!" e 103200!#

$ %tividade 2 %

Aluno: Alb!"o Snn# D$#% N"o

P#!n#&b#'#n$!o( )*+


2/11

RE'UM(

N%" .!$/n"o, !#l$0#1o no L#bo!#"2!$o 1 F&%$3# 1o C#/.u% P#!n#&b#, 4o$

%"u1#1o o /o5$/n"o !"$l&no un$4o!/, 3#!#3"!$0#n1o-o 4"u#n1o 36l3ulo 1#

5lo3$1#1 1o /25l, .!5$%7o 1 .o%$87o 4u"u!# # %! o3u.#1# .lo /25l / MRU

9Mo5$/n"o R"$l&no Un$4o!/ 3on%"!u87o 1 ;!64$3o% .o%$87o "/.o 5lo3$1#1

"/.o< O% !%ul"#1o% 1o% .!$/n"o% 4o!#/ 3o!n"% 3o/ o% n3on"!#1o% /

b$bl$o;!#4$# !4!n" #o "/#<


3/11

)*+R(U-.(

O MRU = o /o5$/n"o no >u#l o /25l .!3o!! u/# "!#?"2!$# !"$l&n# 3o/

u/# 5lo3$1#1 3on%"#n" 1$4!n" 1 0!o< N%" 3#%o, u"$l$0ou-% # %4!# 1

#8o 1n"!o 1o 3$l$n1!o 3o/ 2lo .#!# >u "$5=%%/o% %" 3o/.o!"#/n"o / %u

/o5$/n"o 1 1%3$1# no .l#no $n3l$n#1o, u/# 50 >u # !%$%"@n3$# $/.o%"# .lo

2lo 3o/.n%# # 3o/.onn" 1# #3l!#87o 1# ;!#5$1#1, 1#& ob"/o% u/

/o5$/n"o /u$"o .!2$/o 1o /o5$/n"o !"$l&no un$4o!/ $1#l<

A 5lo3$1#1 /=1$# 9 v

m

=ΔS

Δ t = # ;!#n10# >u /1 >u7o !6.$1o u//25l .!3o!! 1"!/$n#1#% 1$%"n3$#%<

U"$l$0#-% # 42!/ul# S=S0+v∗t .#!# 1"!/$n#! # .o%$87o 1 u/ ob?"o /

u/ 1#1o /o/n"o ", 3on3n1o-% %u# .o%$87o $n$3$#l %u# 5lo3$1#1< %"#

42!/ul#, 16-% o no/ 1 Fun87o o!6!$# 1o MRU<

("/E+)('

• C#!#3"!$0#! u/ /o5$/n"o !"$l&no un$4o!/ 9MRU

• C#l3ul#! # 5lo3$1#1 1 u/ /25l / MRU

• P!5! # .o%$87o 4u"u!# 1 u/ /25l >u % 1%lo3# / MRU

• Con%"!u$! ;!64$3o%:

◦

.o%$87o "/.o,◦ 5lo3$1#1 "/.o


4/11

M%+ER)%)' *E#E''%R)('

O% %;u$n"% /#"!$#$% 4o!#/ n3%%6!$o% .#!# 3u87o 1%"# .!6"$3#:

*+ b#% 1 %u%"n"#87o .!$n3$.#l 3o/ u/ .l#no $n3l$n#1o #!"$3ul65l 3o/ %3#l# 1

* # H

*+ "ubo l#3!#1o, 3on"n1o 2lo, u/# %4o!# 1 #8o bol#

*+ &/7

*+ 3!on/"!o 1 .ul%o 9 n# 4#l"# 1%" 4o$ u"$l$0#1o 3!on/"!o 1o #.#!lo

"l4n$3o

*+ n&5l 1 bol# .#!# %u.!4&3$<

M+(('

P#!# # !#l$0#87o 1%" .!$/n"o, # %4!# 1 #8o 3on4$n#1# 1n"!o 1o

3$l$n1!o 3o/ 2lo 4o$ .o%$3$on#1# n# .#!" %u.!$o! 1o .l#no $n3l$n#1o u"$l$0#n1o-%

u/ &/7< A !4!$1# %4!# !# #b#n1on#1# #4#%"#n1o-% o &/7 >u # /#n"$n# /

.o%$87o no /%/o /o/n"o >u !# #3$on#1o o 3!on/"!o >u, .o! %u# 50, !#

.#!#1o >u#n1o # %4!# #l3#n8#5# # .o%$87o 1%?#1#< N%" /o/n"o o "/.o !#

!;$%"!#1o< E/ 13o!!@n3$# 1# 4#l"# 1 3!on/"!o #1>u#1o 4o$ u"$l$0#1o o

3!on/"!o 1 #.#!lo "l4n$3o< A% /1$1#% 4o!#/ 4$"#% 56!$#% 50%, u/# 50

>u # 1$4!n8# n"! #% 1$5!%#% /1$1#% 3u"#1#% .lo% 56!$o% //b!o% 1#

>u$. !# !l#"$5#/n" ;!#n1, 3;#n1o # >u#% u/ %;un1o< O .!obl/# 1#

.!3$%7o !;ul#!$1#1 1#% /1$1#% 1 "/.o 4o$ !%ol5$1o %3oln1o-% u/ 1o%

3ol;#% >u /#n"5 /#$o! 3on%$%"@n3$# !#.$10 n"! #% /1$1#%<P#!# !#l$0#! # #n6l$% 1o n3on"!o 1o% /25$%, 4o$ n3%%6!$o .o%$3$on#!

/#nu#l/n" o .l#no $n3l$n#1o 1 /o1o >u # bol# 3;#%% J .o%$87o H**// 1#

%3#l#< U/# 50 n%"# .o%$87o, o .l#no !# !#.$1#/n" 3olo3#1o %ob! # /%%#

o 3!on/"!o #3$on#1o 1 /o5o >u 4o%% 4$"o o !;$%"!o 1o "/.o >u # bol#

l5#5# .#!# 3;#! #"= # .o%$87o *// 1# %3#l#<

O% ;!64$3o% #.!%n"#1o% n%" !l#"2!$o 4o!#/ .!o1u0$1o% 3o/ o %o4"K#! S3$DA$%,

1$%.on&5l ;!#"u$"#/n" .#!# L$nu, $n1oK% M#3 no n1!8o

"".:((%ou!34o!;


5/11

RE'U+%(' E4ER)ME*+%)'

Ob"5-% o% %;u$n"% !%ul"#1o% .#!# o% .!$/n"o% .!o.o%"o%:

Movimento retilíneo e uniforme e suas características

+< Co/ o .l#no $n3l$n#1o / +, ob"5-% o% %;u$n"% !%ul"#1o%:

T#bl# +:

Posição Ocupada Espaço percorrido Intervalo de

tempo

Velocidade média

X0 = 0mm Δ xn Δ t nΔ v

n=Δ x

n

Δ t n

X1 = 100mm Δ x1= x1− x0=100mm Δ t 1=1,8s Δ v1=55,5mm/s

X2 = 200mm Δ x2= x2− x0=200mm Δ t 2=3,6 s Δ v2=55,5mm/ s

X3 = 300mm Δ x3= x3− x0=300mm Δ t 3=5,2s Δ v3=57,7mm/ s

X4 = 400mm Δ x4= x4− x0=400mm Δ t 4=7,2 s Δ v4=55,5mm /s

U"$l$0#n1o o% 5#lo!% !;$%"!#1o% n# T#bl# +, ob"/o% o %;u$n" ;!64$3o:

I/#;/ + G!64$3o 5!%u% ":

A 4$;u!# ;o/="!$3# >u 4o$ n3on"!#1# no ;!64$3o ob"$1o 3o/ o% 1#1o% 1# "#bl# u/

% #.!o$/# 1 u/# !"# $n3l$n#1# , 3on%$1!#n1o #% 1$4!n8#% 13o!!n"% 1#

4#l"# 1 .!3$%7o 1u!#n" # /#!3#87o 1o "/.o, .o1/o% 3on%$1!6-l# u/# !"# o


6/11

5#l$1# o% 1#1o%, u/# 50 >u # $n4o!/#87o = 3o!n" 3o/ # b$bl$o;!#4$#< A !"# no

;!64$3o 5!%u% " 1o MRU = 3#!#3"!&%"$3#, u/# 50 >u # .o%$87o 5#!$# 1 4o!/#

l$n#! 3o/ o 13o!!! 1o "/.o<

I/#;/ ) G!64$3o 5 5!%u% ":

O ;!64$3o 5 5!%u% " ob"$1o / l#bo!#"2!$o % #.!o$/# 1o ;!64$3o $1#l, 3o/

1$4!n8#% #.n#% 13o!!n"% 1# 4#l"# 1 .!3$%7o n# /1$87o 1o "/.o< O ;!64$3o

ob"$1o .o1 %! 3on%$1!#n1o u/ !"# o!$0on"#l, >u = 3#!#3"!&%"$3o 1o MRU, u/#

50 >u # 5lo3$1#1 .!/#n3 3on%"#n" 1u!#n" "o1o o "/.o<

A 13l$5$1#1 1o ;!64$3o 5 5!%u% ", 4$%$3#/n" !.!%n"# # "## 1 5#!$#87o 1#

5lo3$1#1 3o/ !l#87o #o "/.o< Sn1o # $n3l$n#87o 1o ;!64$3o nul# "/o% >u #

5lo3$1#1 n7o 5#!$# 3on4o!/ o "/.o /u1#<

A 6!# %ob o ;!64$3o 5 5!%u% " .o1 %! 3#l3ul#1# 3o/o A =v∗Δ t >u 3o$n3$1

3o/ o 5#lo! 1# 1$%"n3$# .!3o!!$1# no $n"!5#lo 1 "/.o A =Δ x=v∗Δ t < A 6!#

%ob o ;!64$3o 5 5!%u% " !.!%n"# # 1$%"n3$# .!3o!!$1#<

Sn1o # 4un87o o!6!$# 1o MRU x= x0+v∗Δ t .o1/o% 3#l3ul#! # 5lo3$1#1

/=1$#:


7/11

400=0+v∗7,2

v=400

7,2

v=55,5mm /s

vm=55,5mm/s

E/.!;#n1o # 4un87o o!6!$#, .o1-% 3#l3ul#! # .o%$87o 1o /25l / u/ 1#1o

/o/n"o< P#!# " %, "/o%

x (5)=0+55,5∗5 x (5)=277,5mm

!$4$3#n1o .!$/n"#l/n" % o 5#lo! ob"$1o #3$/# 3o$n3$1 3o/ o 5#lo! !#l,

l$b!#/o% # %4!# # .#!"$! 1# .o%$87o *// 5!$4$3#/o% >u#l %u# .o%$87o no

$n%"#n" %< !$4$3ou-% >u # .o%$87o !# *//, >u n7o 3o$n3$1 3o/ o 5#lo!

ob"$1o #"!#5=% 1# 42!/ul#< A 1$4!n8# n"! o% 5#lo!% = u/ $n1$3#"$5o 1# 4#l"# 1

.!3$%7o 1o% $n%"!u/n"o% 1 /1$1#, .!$n3$.#l/n" 1o 3!on/"!o<

( Encontro de dois móveis em MRU com sentidos opostos, sobre a mesma

trajetória

P#!# o n3on"!o 1 1o$% /25$%, u"$l$0ou-% # /on"#;/ 3on4o!/ $n%"!u8Q% >u

%7o $1n"$3#% J% $n%"!u8Q% 1# "#.# #n"!$o! 4o!#/ !;$%"!#1o% o% %;u$n"%

1#1o%:

T#bl# ):

edida Es!era "ol#a

1 Δ t 1=6,6 s v1 = $0%$mm&s Δ t 1=5,3s v1 = '(%4mm&s

2 Δ t 2=6,7 s v2 = ()%'mm&s Δ t 2=5,3s v2 = '(%4mm&s

3 Δ t 3=6,6 s v3 = $0%$mm&s Δ t 3=5,3s v3 = '(%4mm&s

édia* Δ t =6,6 s ve = $0%$mm&s Δ t =5,3s v + = '(%4mm&s

O .!o31$/n"o .#!# ob"n87o 1o% 5#lo!% 4o$ !."$1o .o! /#$% 1u#% 50% 1

/o1o # % ob"! # /=1$#% 1#% 5lo3$1#1% 1# %4!# >u = 1 *, //(%< P!o31u-

% 1# /%/# 4o!/# .#!# # bol# ob"n1o-% # 5lo3$1#1 /=1$# 1 ,H //(%


8/11

T#bl# "/.o .#!# .!3o!!! H**//:

Es!era "ol#a

t 0=0 s X0 = 0 mm t 0=0 s X0 = 400 mm

t =6,6s X = 400 mm t =5,3s X = 0 mm

P#!# # 4un87o o!6!$# 1o /o5$/n"o 1# %4!# "/o% o% %;u$n"% .#!/"!o%:

* * //

5 *, //(%

D on1 ob"/o%: *, " 9>< +

P#!# o /o5$/n"o 1# bol#, "/o% o% %;u$n"% .#!/"!o%:

* H** //

5 ,H //(%

D on1 ob"/o%:

H** ,H " 9>< )

R%ol5n1o o %$%"/# 3o/.o%"o .o! 9>< + 9>< ), "/o%:

" ), % +,//

Ou %?#, # %4!# n3on"!#-% 3o/ # bol# n# .o%$87o +,// no $n%"#n" ),%<

E.!$/n"#l/n" ob"/o% o% %;u$n"% 5#lo!% .#!# "/.o .o%$87o 1 n3on"!o

1o% /25$%:

" ), %

+* //

A 1$4!n8# n"! o% 5#lo!% ob%!5#1o% o% .!5$%"o% = /&n$/# 13o!!n" 1#

.!3$%7o 1o% #.#!lo% u"$l$0#1o%


9/11

I/#;/ ;!64$3o% 1# .o%$87o 1# %4!# 1# bol#:

F$%$3#/n", # $n"!%87o 1#% 1u#% !"#% no ;!64$3o !.!%n"# o $n%"#n" o

/o/n"o / >u o% /25$% % n3on"!#/


10/11

#(*#U'5E'

No% .!$/n"o% !#l$0#1o% .o1-% 4#0! # 4#/$l$#!$0#87o 3o/ o .l#no

$n3l$n#1o, #% 4!!#/n"#% !l#3$on#1#% #o% .!$/n"o%, / %.3$#l o

3!on/"!o, l/n"o >u /o%"!ou-% 3o/o o /#$o! ;!#1o! 1 1$%"o!8Q% n"! o%

1#1o% .!5$%"o% o% 5!$4$3#1o% .!$/n"#l/n"< No n3on"!o 1o% /25$%, no"ou-

% # /#$o! #.!o$/#87o n"! o% 5#lo!% .!5$%"o% o ob"$1o .!$/n"#l/n"<

Con3lu$-% >u o% 1#1o% 5!$4$3#1o% .!$/n"#l/n" %7o 3o!n"% 3o/ o%

1#1o% n3on"!#1o% n# b$bl$o;!#4$#, 1$4!$n1o / 13o!!@n3$# 1# 4#l"# 1 .!3$%7o 1o%

>u$.#/n"o% u%#1o%


11/11

RE6ERE*#)%'

"".:((%ou!34o!;

Relatório 02_A Alberto Senna

Documents

Transcript of Relatório 02_A Alberto Senna