Kufamba kweparabolic Basa nesimba rekinetic Kufamba kwemutsara Kufamba kwemutsara nekona Matambudziko nemhinduro

5 Kufamba kweparabolic Basa nesimba rekinetic Kufamba kwemutsara Kufamba kwemutsara nekona Matambudziko nemhinduro

1. Bhora rinokandwa kubva pamusoro pechivako nekumhanya kwekutanga kwe8 m/s pakona ye20 ^o pasi pehombekombe. Bhora rinorova pasi mushure memasekonzi matatu.

a) Kureba kwakadii kubva pasi pechivako uko bhora rinobata pasi

b) Bhora rakakandwa kubva panzvimbo yacho rakakwira zvakadii

c) Kureba kwebhora kunosvika 10 m kubva panzvimbo yekukanda

v_ox =v_o kusvika 20^o = 8 (0.939) = 7.512 m/s

v _oy = v _o chivi 20 ^o = 8 (0.342) = 2.736 m/s

a) x

Kufamba kwakatwasuka kunoongororwa sekufamba kwakatwasuka kwakaenzana, saka fomura yacho yakashandisa kufamba kwakatwasuka kwakafanana.

x = v _ox t

x = (7.512 m/s)(3 s)

x = 22.536 m

b) y

Kufamba kwenzira yakatwasuka kunoongororwa sekufamba kwemahara kwekuwa uchishandisa fomura yekufamba kwemahara kwekuwa.

Shandisa fomura iyi y = vot ₊ ½ gt ²

Mukufamba kwe free fall, v _o = 0 saka fomura inova: y = ½ gt ²

y = ½ (9.8)(3 ² )

y = (4.9)(9)

y = 44 m

c) y = 10 m

Shandisa fomura y = ½ gt ²

10 = ½ (9,8) t ²

10 = 4.9 t ²

t ² = 10 / 4.9

t ² = 2

t = 1.4 p

2. Chikwata chechitima chembwa chinodhonza mutoro unorema 100 kg kusvika 2 km pamusoro penzvimbo yakatwasuka nekumhanya kwakafanana. Kana coefficient yekukweshana pakati pechitima nesinou iri 0.15, sarudza:

a) basa rinoitwa nembwa

Verenga iyo kukweshana kwekinetic:

F _k = µ _k N = µ _k w = µ _k mg = (0.15) (100 kg) (9.8 m/s ² ) =147 N

Kumhanya kwehukuru hakuchinji saka, maererano nemutemo waNewton, simba rinobuda = 0. Saka F _k = F = 147 N

Basa rakaitwa nembwa:

W = F d = (147 N)(2000 m) = 294,000 J

b) Simba rinorasikirwa nekukakavadzana

Simba rinorasikirwa nekukakavadzana:

Basa = simba, saka:

W = F _k d = (147 N)(2000 m) = 294,000 J

3. Simba rakatwasuka re150 N rinoshandiswa kusunda bhokisi mamita matanhatu pamusoro penzvimbo yakaoma. Kana bhokisi richifamba nekumhanya kwakafanana:

a) Basa rakaitwa nesimba re150 N

W = F d = (150 N) (6 m) = 900 J

b) Simba rinorasika nekuda kwekukweshana

Bhokisi rinofamba nekumhanya kwakasimba zvekuti simba rinobuda pabhokisi = 0.

Saka, simba rakatwasuka = ​​150 N = kinetic friction.

Simba rinorasika nekuda kwekukweshana:

W = F _k = (150 N)(6 m) = 900 J

c) Kuwanda kwekukweshana kwekinetic

Fomura yesimba rekukweshana:

F _k = µ _k N = µ _k w = µ _k mg

150 = µ _km m (10)

15 = µ _km m

µk ₌ 15/m

m = huremu hwebhokisi

µ _k = chiyero chekukweshana kwekinetic

Kinetic friction inoshanda kana zvinhu zvichifamba, static friction inoshanda kana zvinhu zvichiri panzvimbo imwe chete.

4. Chidimbu chine kumhanya (3i-4h) m/s. Sarudza chikamu che momentum pa x ne y-axis uye hukuru hwe momentum.

Kumhanya pa x-axis: 3 m/s

Kumhanya pa y-axis: 4 m/s

Kumhanya kuri pa x-axis: mv = 3 m

simba riri pa y-axis: mv = 4 m

Kukura kwesimba:

p ² = (3 m) ² + (4 m) ²

p ² = 9 m ² + 16 m ²

p ² = 25 m ²

p = 5 m

p chiratidzo chemutsara wekufamba.

5. Mota inomhanyisa mota nenzira imwechete kubva pakufamba kwakamira kusvika pa22 m/s kwemasekondi mapfumbamwe. Kana dhayamita yetai iri 58 cm, tsanangura:

a) huwandu hwemavhiri akatenderera panguva yekufamba (funga kuti hapana kutsvedza)

Verenga kumhanyisa kwemotokari:

v _t = vo ₊ pa

22 = 0 + a 9

22 = 9a

a = 22/9 = 2.44

Verenga daro:

d = vot ₊ ½ pa ² = 0 + ½ pa ²

d = ½ pa ² = ½ (2.44)(9 ² ) = (1.22)(81) = 98.82 m

Kureba kwemota = 98.82 metres = 9882 cm

Dhayamita yetai = 58 cm

Huwandu hwemapinduko = 9882 cm / 58 cm = 170.38 rev

b) Kumhanya kwekupedzisira kwetai mu rev/minute

Kumhanya kwekupedzisira = 22 metres/sekondi = 2200 cm/ sekondi

1 rev = dhayamita imwe yetai = 58 cm

Huwandu hwekuchinja:

2200 cm / 58 cm = 40 revolutions

Saka, kumhanya kwekupedzisira mukuchinja/miniti

40 rev/sekondi = 40 rev / 60 seconds = 0.67 rev/minute kana 0.67 rev/minute