18-расмдаги одам, велосипед, автомобил, поезд ва самолётни тезликларини м/сек га айлантиринг

a=?
Echish: Markazga int. tezlanish: a=v²/R =0.225 m/sek² ;

Berlgan: v=90 km/soat = 90000/3600 =25 m/sek;
=10 ayl/sek;
-----------------
a=?
=v/2R dan 1/R=2/v; Markazga int. tezlanish: a= v²/R = v²2/v = 2v = 1571 m/sek² ;

Berlgan: d=80 sm =0.8 m , R=d/2=0.4 m
v=180 km/soat = 18000/3600 =5 m/sek;
-------------------------------------------------
v=?, T=?, =?, =? a=?
Echish: Velosiped tezligi - gildirakni chetini chiziqli tezligiga teng v=5 m/sek;
Aylanish davri T=2R/v≈0.5 sek;
Chastotasi =1/T=2 * 1/sek
Burchak tezlik =2=12.57 *1/sek;
Markazga int. tezlanish: a= v² /R = 62.5 m/sek² ;

Berlgan: d=30 sm =0.3 m , R=d/2=0.15 m
t = 1 min = 60 sek
n = 1800
------------
v=?
Echish: Aylanish chastotasi =1/T=n/t=1800/60=30 * 1/sek
Chiziqli tezligi v = 2R = 28.3 m/sek







Berlgan: m =2 kg
g = 10 m/s²
----------------
F=?
Echish: F=ma=mg= P=2*10= 20 N Og’irlik kuchi ta’sir etadi.

Berlgan: F = 2 kN = 2000 N
a = 0.1 m/s²
----------------
m =?
Echish: F=ma. m=F/a=20 000 kg = 20 Tonna

Berlgan: m=0.5 kg
t=5 sek
s =20 m
-------------
F =?
Tinch holatdan tezlanishda bosgan yo’l s=at²/2. Demak, F=ma=2ms/t²=2*0.5*20/5²=0.8 N

Berlgan: m=100 g = 0.1 kg
F=50 mN = 50*10^-3 N = 0.05 N
----------------------------------------
a =?
Echish: a = F/m = 0.5 m/sek²

Berlgan: m=2000 kg
a =0.8 m/s²
----------------
F =?
Echish: F= m a = 1600 N

Berlgan: m₁=0.5 kg , m₂=1.5 kg
v₁=6 m/sek
---------------
v₂ =?
Echish: Noelastik to’qnashgan, m₁v₁= m₂v₂. Bundan, v₂=m₁v₁/m₂=3/1.5=2 m/sek



Berlgan: F₁= 10 kN = 10⁴ N
a₁ = 0.5 m/sek²
F₂= 30 kN = 3*10⁴ N
---------------------------
a₂ = ?
F₁=m a₁, F₂=m a₂, Massalar teng , Demak F₁/a₁=F₂/a₂. Bundan a₂=a₁ F₂/F₁ = 0,5*3*10⁴/10⁴ =1,5 m/sek²

Berlgan: F₁= 5 N
a₁ = 1 m/sek²
a₂ = 4 m/sek²
---------------------------
F₂= ?
F₁=m a₁, F₂=m a₂, Massalar teng , Demak F₁/a₁=F₂/a₂. Bundan , F₂ =F₁a₂/a₁=5*4/1=20 N

Berlgan: m = 80 t = 8*10⁴ k g
F = 120 kN = 12*10⁴ N
---------------------------
a= ?
Echish: F=m a, Bundan , a=F/m=12/8=3/2=1,5 m/sek²

Berlgan: m = 0.4 k g
t = 0.01 sek
v = 20 m/sek
v₀=0
------------------
F = ?
Echish: F=m a= m(v-v₀)/t = mv/t, Bundan , F = 0.4*20/0.01=800 N





Berlgan: F = 2 N
dl = 10 sm = 0.1 m
------------------------
k = ?
Echish: Guk qonuni F=-kdl dan k= F/dl = 20 N/m

Berlgan: m = 1 kg
dl = 8 sm = 0.08 m
------------------------
k = ?
Echish: Guk qonuni F=P=mg=-kdl dan k=mg/dl=10 N/0.08 m =125N/m

Berlgan: k = 60 N/m
dl = 5 sm = 0.05 m
------------------------
m= ?
Echish: Guk qonuni F=P=mg=-kdl dan m=kdl/g=0.3 kg

Berlgan: k = 10 N/m
m= 60 g = 0.06 kg
------------------------
dl =?
Echish: Guk qonuni F=P=mg=-kdl dan dl=mg/k=0.06 m=6 sm

Berlgan: k₁ = 120 N/m
dl₁= 4 sm = 0.04 m
dl₂= 3 sm = 0.03 m
------------------------
k₂ =?
Echish: Guk qonuni F= - kdl. Ikkala prujina ga kuch teng tushadi. Demak, k₁dl₁= k₂dl₂, bundan k₂ = k₁dl₁/dl₂ = 120 * 4/3=160 N/m

Berlgan: m = 1200 kg
a = 0.3 m/sek²
k = 40 kN/m = 40000 N/m
----------------------------------
dl =?
Echish: Guk qonuni F=-kdl va Nyuton qonuni F= ma dan kdl = ma. Bundan, dl= ma/k=1200*0.3/40000 = 0.009 m = 0.9 sm = 9 mm

Berlgan: m = 1200 kg
R = 5 m
G = 6.67*10^-11 N*m²/kg²
-------------------------------
F =?
Echish:

Berlgan: m₁ = 8000 t = 8*10⁶ kg
m₂ = 12500 t = 12,5*10⁶ kg
R = 50 m
G = 6.67*10^-11 N*m²/kg²
-------------------------------
F =?
Echish:

Berlgan: h=R
G = 6.67*10^-11 N*m²/kg²
-------------------------------
F_h/ F=?
Echish: , 4 marta

Berlgan: R = 60*R_er
m₁ =m₂/81
G = 6.67*10^-11 N*m²/kg²
-------------------------------
x = ?
Echish: Oy markazidan x masofadagi m massali jismni Oyga tortilish kuchi , Erga tortilish kuchi . Ikkala kuchni tenglik shartidan,

Echish: Ihtiyoriy h balandlikdan erkin tushayotgan jism tezlanishi
dan , ,
. Bu erda g – Er sirtida = 9.8 m/s² .

Berlgan: m_oy = 7.35*10²² kg
R_oy = 1.74*10⁶ m
G = 6.67*10^-11 N*m²/kg²
-------------------------------
g_oy =?
Echish:

Berlgan: m₁ = 6.44*10²³ kg
m₂ = 1.9 *10²⁷ kg
R₁ = 3. 4*10⁶ m
R₂ = 7.13*10⁷ m
G = 6.67*10^-11 N*m²/kg²
-------------------------------
g₁ =? , g₂ =?
Echish:


Berlgan: m = 1 kg
g = 9.8 m/sek²
-----------------
P = ?
Echish: P=mg=1 kg * 9.8* m/sek²= 9.8* k g*m/sek² = 9.8 N

Berlgan: a = 5 m/sek²
m= 45 kg
g = 10 m/sek²
-----------------
P = ?
Echish: Yuqoriga tezlansa ogirlik kuchi - inerrsiya kuchiga qadar ortadi F_og = P+ma = m(g+a) =45*(10+5) = 675 N

Berlgan: a = 5 m/sek²
m= 45 kg
g = 10 m/sek²
-----------------
P = ?
Echish: Pastga tezlansa ogirlik kuchi - inerrsiya kuchiga qadar kamayadi
F_og = P-ma = m(g-a) =45*(10-5) = 225 N

Berlgan: m=1 kg
_s=0,4
g = 10 m/sek²
-----------------
F_i(s) = ?
Echish: F_i(s) =_s N, N=P=mg, F_i(s) =_smg=0,4*1*10=4 N

Berlgan: m=1200 kg
R=30 sm = 0,3 m
_d = 0,1 sm = 10^-3 m
g = 10 m/sek²
-----------------
F_i(d) = ?
Echish: F_i(d) =_d N/R, N=P=mg, F_i(d) =_dmg/R=0,1*1200*10/0,3 = 4000 N

Berlgan: m= 1200 kg
_s = 0,75
g = 10 m/sek²
-----------------
F_i(s) = ?
Echish: F_i(s) =_sN, N=P=mg, F_i(s)=_smg=0,75*1200*10=75*120=9000 N

Berlgan: m₁ = 0,5 kg
m₂= 7 kg
_s = 0,2
k = 150 N/m
g = 10 m/sek²
-----------------
dl = ?
Echish: Prujinani cho’zuvchi kuch qarshilik kuchiga teng ( kam bo’lmaslik kerak ),
F_i(s) = F ; bunda, F_i(s) =_sN, N=P=mg=(m₁+m₂)g, F=k dl, demak,
_s(m₁+m₂)g =k dl, dl = _s(m₁+m₂)g/k = 0,2*7,5*10/150=1/10 m = 10 sm







Berlgan: F = 20 N
t₁ = 0,05 sek
t₂ = 2 sek
--------------
I₁ = ? , I₂ = ?
Echish: Kuch impulsi I= Ft dan
I₁=Ft₁=20*0,05=1 N*sek , I₂=Ft₂=20*2=40 N*sek

Berlgan: m₁ = 20 g=0.02 kg
v₁ = 15 m/sek
m₂ = 100 g = 0.1 kg
v₂ = 15 m/sek
m₃ = 20 g = 0.02 kg
v₃ = 60 m/sek
--------------------------------
p ₁ = ? , p₂ = ? , p₃ = ?
Echish: Jism impulsi p= mv dan: p₁=m₁v₁=0,3 kg*m/sek , p₂=m₂v₂=1,5 kg*m/sek ,
p₁=m₃v₃=1,2 kg*m/sek , birinchi holda jism impulse eng kam, ya’ni, ta’sir kuchi impulsi sindirshga etarli emas

Berlgan: m=100 g =0,1 kg
v = 5 m/sek
-----------------------
p=?
Echish: p=mv=0,5 kg*m/sek

Berlgan: m₁= m₂=1200 kg
1) v₁ = 90 km/soat=90000/3600=25 m/sek
v₂ = 120 km/soat=120000/3600=33,3 m/sek
2) v₁ = 36 km/soat=36000/3600=10 m/sek
v₂ = 54 km/soat=54000/3600=15 m/sek
----------------------------------------------------------------
p=p₁+p₂=?
Echish: 1) p= m₁v₁ + m₂v₂=1200*(25+33,3)=69960 kg*m/sek,
2) p= m₁v₁ + m₂v₂=1200*(10+15) =30000 kg*m/sek,
1-holda talofat katta , chunki ta’sirlashuv kuch impulsi katta bo’ladi.

Berlgan: m =400 g=0,4 kg
v₁ = 1 m/sek
= 0,4 m/sek
----------------------
p =?
Echish: p = m(v₁- )=0,4*(1-0,4)= 0,4*0,6=0,24 kg*m/sek

Berlgan: v₁ = 3 m/sek
m₁ = 60 t = 6*10⁴ kg
m₂ = 40 t = 4*10⁴ kg
-----------------------------
=?
Echish: Impulsning saqlanish qonuniga ko’ra m_1*v₁ + m_2*0=( m₁+m₂)_* , bundan
= m_1*v₁/ ( m₁+m₂) = 18/10=1,8 m/sek

Berlgan: v₁ = 4 m/sek
m₁ = 40 kg
v₂ = 1 m/sek
m₂ = 20 kg
-----------------
=?
Echish: Impulsning saqlanish qonuniga ko’ra m_1*v₁ + m_2*v₂=( m₁+m₂)_* , bundan
= (m_1*v₁+m_2*v₂)/( m₁+m₂) = 180/60=2 m/sek







Berilgan : m= 1 kg
h₁= 50 m
h₂= 20 m
g = 10 m/sek²
-----------------
A=?
Echish: A=mg( h₁ – h₂ )=10*30= 300 J

Berilgan : k= 10000 N/m
dx = 8 sm = 0.08 m
----------------------
E_p=?
Echish: E_p=k* dx²/2 =10000*64*10^-4 / 2 = 32 J

Berilgan : dx₁ = 5 mm = 5*10^-3 m
A₁ = 3 kJ = 3000 J
dx₂ =1,2 sm = 12*10^-3 m
--------------------------------
A₂=?
A₁= k*dx₁, A₂= k*dx₂, A₁/dx₁=A₂/dx₂, bundan A₂=A₁*dx₂/dx₁ =3000*12/5 = 7200 =7,2 J

Berilgan : m = 1 kg
h = 180 m
t = 6 sek
------------------
E_k=?, E_p=?
Boshlangich tezliksiz erkin tushayotgan jismni t vaqtdan song erishgan tezligi v=gt. Demak, kin.energiyasi E_k =mv²/2=m(gt)²/2=1800 J. Dastlabki pot.energiyasi mgh edi, buni E_k qismi kin.energiyaga aylanib, qolgani E_p=mgh- E_k = 1800-1800=0. Demak, erga tushib bo’lar ekan.
Tekshirish: t=6 sek vaqt da bosgan yoli s=gt²/2=180 m = h.

Berilgan : m = 180 kg
h = 2 m
-----------------
A=?
Echish: Bajarilgan ish shtangani potensial energyasiga teng A=mgh =3600 J

Berilgan : l = 7 m
S= 75 sm²=75*10^-4 m²
h = 60 m
 = 7,8*10³ kg/m³
----------------------
A=?
Echish: Bajarilgan ish – g’o’lani potensial energyasiga teng A = mgh = Vgh =  Sl
gh = 7,8*10³*75*10^-4*7*10*60 = 245700 J = 245.7 kJ

Berilgan : m = 250 g = 0.25 kg
v₀ = 1 m/sek
v = 9 m/sek
-------------------
A = ?
Echish: Bajarilgan ish – kinetik energya ni ortishiga teng

Berilgan : p = 10 kg * m/sek
E_k = 50 J
-------------------
v=? , m = ?
Echish: Kinetik energya va impulsi . Bular nisbatidan . Demak,
, massa esa, m=p/v=1 kg

Berilgan : L = 3 m
m =40 kg
------------
A = ?
Echish: Bajarilgan ish – ikkala (tik vertical va erda yotgandagi gorizontal) holat potensial energiyalar farqiga teng: A=mg(h_v – h_g). Bunda, h_v , h_g, vertical va gorizontal holatda og’irlik markazi balandliklari: h_v=L/2 va h_g≈0. Demak, A=mgL/2=600 J

Berilgan : h = 60 m
m = 0,5 kg
h₁ = 20 m , g=10 m/s²
-------------------
E_k = ? E_p = ?
Echish: E_p = mgh₁ = 100 J, E_k =mg h-mgh₁ =mg(h-h₁)=200 J

Berilgan : v = 20 m/s
g=10 m/s²
-------------------
E_k =E_p => h=?
Echish: E_p = mgh, E_k =mv²/2, => mg h=mv²/2, h=v²/2g=20 m

Berilgan : F = 100 N
s = 2 m
g=10 m/s²
--------------
A=?
Echish: Dastlab tashqi kuch ishqalanishni engishga sarflangan F=F_i (natijada jism tezlanishsiz tekis harakada bo’lgan), Tashqi kuch to’xtagandan so’ng, ishqalanish kuchi jismni to’xtatish uchun ish bajargan A= F_i*s= F*s=200 J

Berilgan : t = 0,5 soat = 1800 sek
A = 180 kJ = 18 0000 J
-----------------------------
N = ?
Echish: N=A/t=100 W

Berilgan : N = 250 kW = 25*10⁴ W
t = 1 soat = 3600 sek
A_f = 360 MJ = 36*10⁷ J
-----------------------------
N = ?
Echish: To’la ish A_t = Nt , Demak,







Berilgan : S₁ = 40 sm²
v₁ = 0,2 m/sek
S₂ = 8 sm²
-----------------
v₂=?
Echish: v₂/v₁=S₁/S₂ qonuniyatdan, v₂ = v₁S₁/S₂ = 0.2*40/8 = 1 m/sek

Berilgan : S₁ = 15 sm²
v₁ = 0,9 m/sek
v₂ = 0,3 m/sek
-----------------
S₂=?
Echish: S₂/S₁=v₁/v₂ qonuniyatdan, S₂ = S₁v₁/v₂ = 15*0,9/0,3=45 sm² .

Berilgan : d₁ = 2 sm
v₁ = 1,2 m/sek
v₂ = 0,3 m/sek
-----------------
d₂=?
Echish: Quvur kesim yuzi S=r² =(d/2)²= d² /4 . Demak, . Bundan,


Berilgan : d₁ = 3 sm
d₂= 9 sm
v₂ = 0,2 m/sek
-----------------
v₁ =?
Echish: Quvur kesim yuzi S=r² =(d/2)²= d² /4. Demak, . Bundan,


Berilgan : d₁ = 5 sm
v₁ = 0,8 m/sek
d₂ = 7 sm
v₃ = 0,2 m/sek
-----------------
v₂ =? d₃=?
Quvur kesim yuzi S=r² =(d/2)²= d²/4. Demak, . Bundan, , Shuningdek, . Bundan,



Berilgan : k = 100 N/m
m = 40 g = 0,04 kg
-----------------------
T=? , =?
Echish: ,

Berilgan : k = 50 N/m
 = 3 Hz
---------------
m=?
Echish: , Bundan,

Berilgan : m = 75 g
T = 0,2 sek
---------------
k = ?
Echish: , Bundan, .

Berilgan : l = 90 sm = 0.9 m
-----------------------
T = ? ,  = ?
Echish: ,

Berilgan : t = 3 sek
n = 2
-----------