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 netsamba yekutanga havukavu ye 8 m/s pakona ye 20^o 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 pasina 20^o = 8 (0.342) = 2.736 m/s

a) x

Kufamba kwakatwasuka kunoongororwa se kufamba kwakafanana kwemutsetse, saka izvozvo zvakashandisa fomura yekufamba kwakafanana kwemutsara.

x = v_ox t

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

x = 22.536 m

b) y

Kufamba kwenzira yakatwasuka kunoongororwa se kufamba kwemahara kwekudonha uchishandisa fomura yekufamba kwemahara kwekudonha.

Shandisa fomura iyi y = v_o t + ½ gt²

Mukufamba kwemahara kwekudonha, v_o = 0 saka fomura inova : y = ½ gt²

y = ½ (9.8)(3²)

y = (4.9)(9)

y = 44 m

c) y = 10 m

Shandisa fomura y = ½ gt²

10 = ½ (9,8) t²

10 = 4.9 t²

t² = 10/4.9

t² = 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/s²) =147 N

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

The basa zvakaitwa 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 s = (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_k m (10)

15 = µ_k m

µ_k = 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:

p² = (3 m)² + (4 m)²

p² = 9 XNUMX m² + 16 m²

p² = 25 XNUMX m²

p = 5 m

p chiratidzo che simba rakatsetseka.

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 =v_o + pa

22 = 0 + a 9

22 = 9a

a = 22/9 = 2.44

Verenga daro:

d = v_o t + ½ pa² = 0 + ½ pa²

d = ½ pa² = ½ (2.44)(9²) = (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/chepiri

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