Mienzaniso yemibvunzo pamusoro pemutemo wekuchengetedza simba remakanika

Mienzaniso gumi nematanhatu yemibvunzo pamusoro peMutemo weKuchengetedza Simba reMichina

Mutemo wekuchengetedza simba remakanika mukufamba kwemahara kwemvura

1. Kokonati ine huremu hwe2 kg inodonha zvakasununguka kubva pakukwirira kwemamita matanhatu. Simba rekufamba kwekokonati parinosvika pasi i… g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
Huremu hwekokonati (m) = 2 kg
Kureba (h) = mamita makumi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy (EK)
Jawab :

Simba rekutanga remakanika
Kana chinhu chiri mu free fall, hachina velocity yekutanga. Nekuti hapana velocity yekutanga, hapana simba rekutanga re kinetic. Pakutanga, chinhu chacho chiri pakakwirira mamita matanhatu, saka zvechokwadi, chinhu chacho chine simba rekutanga regiravhiti. Saka, simba rekutanga remakanika (EM) ndiro_o) isimba regiravhiti (EP).
EM_o = EP = mgh = (2)(10)(6) = 120 maJoules

Simba remagetsi rekupedzisira
Kana chinhu chichifamba pasi, kureba kwechinhu kunoderera, saka simba racho rekukwevera pasi rinoderera. Simba rekukwevera harirasike asi rinoshandurwa kuita simba rekukwevera pasi. Kana rasvika pasi, kureba kwechinhu kwakafanana nekukwirira kwepasi (h = 0), saka simba rayo rekukwevera pasi izero (h = 0, saka EP = mgh = 0). Simba rese rekukwevera pasi rinoshandurwa kuita simba rekukwevera pasi. Saka, simba rekupedzisira remagetsi (EM) ndiro_t) isimba rekinetic (EK).
EM_t = EK = ½ mv²

Mutemo wekuchengetedza simba remakanika :
Simba rekutanga remakanika = simba rekupedzisira remakanika
EM_o = EM_t
EP = EK
120 = EK
Simba rekufamba kwemukokonati kana rasvika pasi i100 Joules.

2. Bhora rine huremu hwe2 kg kudonha kwakasununguka kubva panzvimbo A sezvakaratidzwa mumufananidzo. (g = 10 ms^-2Kana wasvika panzvimbo B, simba rekinetic rakaenzana nekaviri simba rinokwanisa kukwira, saka kukwirira kwenzvimbo B kubva pasi…

A. 80 m
B. 70 m
C. 60 m
D. 40 m
E. 30 m

Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora (m) = 2 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 ms^-2
Kureba A (h)_A) = 90 mamita
Akabvunzwa Kureba B (h)_B)
Jawab :

Kana bhora rasvika padanho B, simba rekufamba kwebhora padanho B rakaenzana nekaviri simba regiravhiti rebhora padanho B.
EK = 2 EP
½ mv² = 2 mgh_B
½ v² = 2 gh_B
v² = 2(2)(10) maawa_B
v² = maawa makumi mana_B
Hitung speed (v) bhora parinosvika panzvimbo B mushure mekudonha kubva panzvimbo A.
v² = 2 gh = 2(10)(90–h_B) = 20(90–maawa_B)
Tsiva v² muequation iri pamusoro apa na v² muequation iyi.
v² = maawa makumi mana_B
20(90–maawa_B) = maawa makumi mana_B
1800-20 h_B = maawa makumi mana_B
1800 = maawa makumi maviri_B + 20h_B
1800 = maawa makumi maviri_B
h_B = 1800/60
h_B = 30 mamita
Mhinduro chaiyo ndiE.

3. Chinhu chine huremu hwe1 kg chinodonha zvakasununguka kubva pamusoro pechivako chine nhurikidzwa dzakawanda chakareba mamita makumi masere. Kana kukweshana nemhepo kukasatariswa uye kumhanya kunokonzerwa negiravhiti (g) kuri 10 m/s² Saka simba rekufamba kwechinhu kana chasvika pasi ndiro...
Kukurukurirana
Zvinozivikanwa :
Huremu (m) = 1 kg
Kureba (h) = mamita makumi masere
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy (EK) yechinhu kana chinhu chasvika pamusoro pevhu
Jawab :
Zvinhu zvinodonha zvakasununguka saka chinhu hachina kumhanya kwekutanga. Saka, kana chiri pakakwirira mamita makumi masere, chinhu chacho chine simba rekukwevera asi chinhu chacho hachina simba rekutenderera (v = 0 saka EK = ½ mv² = 0). Saka simba rekutanga remakanika (EM)_o) = simba rekukwevera pasi (EP).

EM _o = EP = mgh = (1)(10)(80) = 800 maJoules

Munguva yekudonha kwakasununguka, simba regiravhiti rinoshandurwa kuita simba rekinetic. Kana chinhu chikarova pasi, simba racho rese regiravhiti rinoshandurwa kuita simba rekinetic. Saka, kana chasvika pasi, chinhu chacho chine simba rekinetic asi hapana simba regiravhiti (h = 0, saka EP = mgh = 0). Saka, simba rekupedzisira remakanika (EM _t ) = simba rekinetic (EK)

Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika rakaenzana nesimba rekupedzisira remakanika.
EM_o = EM_t
EP = EK
800 = EK
Simba rekinetic (EK) rechinhu kana chasvika pasi i800 Joules.

4. Chinhu chinodonha zvakasununguka kubva pakakwirira kwemamita gumi pamusoro penyika. Kana huremu hwechinhu chacho huri 4 kg uye kukurumidza kunokonzerwa negiravhiti (g) = 10 ms ^–2 , saka simba rekufamba nekukurumidza kwechinhu chacho pakukwirira kwemamita mashanu pamusoro penyika…

Kukurukurirana
Zvinozivikanwa :
Kuchinja kwehurefu (h) = 10 – 5 = mamita masere
Huremu (m) = 4 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy yechinhu chiri pakakwirira mamita mashanu
Jawab :
(a) Simba reKinetic rechinhu chiri pakakwirira mamita maviri
Simba rekutanga remakanika (EM)_o) = simba rekukwevera pasi (EP)
EM_o = EP = mgh = (4)(10)(5) = 200 maJoules
Simba remagetsi rekupedzisira (EM)_t) = simba rekinetic (EK)
EM_t = EK
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika rakafanana nesimba remakanika rekupedzisira.
EM_o = EM_t
200 = EK
Simba rekufamba kwechinhu chiri pakakwirira mamita mashanu pamusoro penyika i200 Joules.

(b) Kumhanya kwechinhu ichi pakukwirira kwemamita mashanu
Simba rekutanga remakanika (EM)_o) = simba rekupedzisira remakanika (EM)_t)
EP = EK
200 = ½ mv²
2(200) / 4 = v²
100 = v²
v = √100
v = mamita gumi/sekondi
Kumhanya kwechinhu chacho mamita gumi pasekondi

5. Muchero wemango unodonha zvakasununguka kubva pakukwirira kwemamita maviri. Kana g = 10 ms^-2, verenga kumhanya kwemango nguva pfupi isati yasvika pasi uchishandisa mutemo wesimba remagetsi.
Kukurukurirana
Zvinozivikanwa :
Kureba (h) = mamita makumi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kumhanya kwemango nguva pfupi isati yasvika pasi (v)
Jawab :
Simba rekutanga remakanika (EM)_o) = simba rekukwevera pasi (EP)
EM_o = EP = mgh = m (10)(2) = 20 m
Simba remagetsi rekupedzisira (EM)_t) = simba rekinetic (EK)
EM_t = EK = ½ mv²
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika rakafanana nesimba remakanika rekupedzisira.
EM_o = EM_t
20 m = ½ mv²
20 = ½ v²
2(20) = v²
40 = v²
v = √40 = √(4)(10) = 2√10 mamita/sekondi
Kumhanya kwemango nguva pfupi isati yasvika pasi i2√10 metres/sekondi.
Zvakakosha kuziva kuti mukuverenga kwedu, tinofuratira kukweshana kwemhepo. Muchokwadi, kana chinhu chipi zvacho chikawira zvakasununguka pamusoro pePasi, kukweshana kwemhepo kunokanganisawo kufamba kwacho, zvichikonzera kumhanya kwakaderera pane kuverenga kuri pamusoro apa.

Mutemo wekuchengetedza simba remakanika mukufamba kwakamira kumusoro nekudzika

6. Chinhu chine huremu hwe1 kg chinokandwa chakamira pasi nekumhanya kwekutanga kwe2 m/s kubva kumucheto kwechivako chine urefu hwemamita makumi mana. Simba rekufamba kwechinhu kana chiri pakakwirira kwemamita gumi pamusoro pevhu… g = 10 m/s ²

Kukurukurirana
Zvinozivikanwa :
Huremu hwechinhu (m) = 1 kg
Kumhanya kwekutanga (v)_o) = 2 m/s
Kuchinja kwekukwirira = 40 - 10 = mamita makumi matatu
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy yechinhu chiri pakakwirira mamita gumi pamusoro pepasi
Jawab :

Simba rekutanga remakanika
Pakutanga, chinhu chacho chine simba rekukwevera pasi uye simba rekufamba-famba.
Simba rekutanga regiravhiti (EP) = mgh = (1)(10)(30) = 300 Joules
Simba rekutanga rekinetic (EK) = ½ mv_o² = ½ (1)(2)² = ½ (4) = 2 maJoule
Saka simba rekutanga remakanika = simba rekutanga regiravhiti + simba rekutanga rekinetic = 300 + 2 = 302 Joules.

Simba remagetsi rekupedzisira
Kana chinhu chichifamba pasi, kureba kwacho kunoderera, nokudaro zvichideredza simba rayo rekukwevera pasi. Simba iri rekukwevera pasi rinoshandurwa kuita simba rekukwevera pasi. Mushure mekufamba mamita makumi matatu, kana kana chinhu chacho chiri pamusoro pevhu mamita gumi, simba racho rese rekukwevera pasi rinoshandurwa kuita simba rekukwevera pasi.
Saka simba rekupedzisira remakanika = simba rekupedzisira rekinetic = simba rekutanga regiravhiti + simba rekutanga rekinetic = 300 + 2 = 302 Joules.

7. Chinhu chine huremu hwe1 kg chinokandwa chakamira kumusoro nekumhanya kwekutanga kwe10 m/s. Tsvaga (a) simba rekukwevera pasi panzvimbo yakakwirira (b) nzvimbo yepamusoro kana kukwirira kwakanyanya kunosvikwa nechinhu… g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
Huremu hwechinhu (m) = 1 kg
Kumhanya kwekutanga (v)_o) = 10 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : simba rekukwevera pasi panzvimbo yakakwirira uye pasi pasi
Jawab :
(a) Simba resimba rinokwevera pasi panzvimbo yakakwirira
Simba rekutanga remakanika
Pakutanga chinhu chacho chine simba rekufamba nemhepo asi chinhu chacho hachina simba rekukwevera pasi. Simba rekutanga remagetsi = simba rekutanga rekufamba nemhepo (EK) = ½ mv_o² = ½ (1)(10)² = ½ (100) = 50 maJoules.
 
Simba remagetsi rekupedzisira
Mushure mekufamba wakamira kumusoro, kukwirira kwechinhu kunowedzera, nokudaro zvichiwedzera simba rayo rekukwevera. Simba iri rekukwevera haringoerekana ravapo asi rinobva musimba rekinetic. Pakukwirira kwaro kwepamusoro-soro kana kuti panzvimbo yakakwirira, chinhu chinombomira kwechinguvana chisati chadzokera shure. Nekuti chinombomira kwechinguvana, kumhanya kwacho kuri zero, uye simba rayo rekukwevera riri zerowo. Simba rese rekukwevera rinoshandurwa kuita simba rekukwevera.
Simba remagetsi rekupedzisira = simba regiravhiti (EP)

Mutemo wekuchengetedza simba remakanika:
Simba rekutanga remakanika = simba rekupedzisira remakanika
EK = EP
50 = EP
Simba regiravhiti rinokwanisa kukweva zvinhu i50 Joules.

(b) Nzvimbo yepamusoro-soro kana kukwirira kwakanyanya
EP = mgh
50 = (1)(10) h
50 = maawa makumi maviri
h = 50 / 10 = mamita gumi
Nzvimbo yakakwirira kana kuti yakakwirira inosvikwa nechinhu iri mamita mashanu kubva pasi.

 

Mutemo wekuchengetedza simba remakanika riri kufamba mundege yakatsamira

8. Kubva pakadzikama, bhokisi rinotsvedza risina kukweshana richitevedza denderedzwa rakanamira. Kumhanya kwebhokisi parinosvika pasi pedenderedzwa rakanamira i… g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
Kureba (h) = mamita makumi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kumhanya (v) kwebhokisi parinosvika pasi penzvimbo yakatsamira
Jawab :
Kana iri pakakwirira mamita masere, bhokisi rine simba rekukwevera pasi asi harina simba rekukwevera pasi nekuti harisati rafamba. Saka, simba rekutanga rebhokisi iri isimba rekukwevera pasi.
Simba rekutanga remakanika (EM)_o) = simba rekukwevera pasi (EP)
EM_o = EP = mgh = m (10)(8) = 80 m
Bhiriji parinotanga kufamba richidzika, simba rayo rekukwevera zvinhu pasi rinotanga kushanduka kuita simba rekukwevera zvinhu pasi. Parinosvika pasi pechikomo, simba rayo rese rekukwevera zvinhu pasi rinoshanduka kuita simba rekukwevera zvinhu pasi. Saka, simba rekupedzisira remuchina webhiriji ndiro simba rekukwevera zvinhu pasi.
Simba remagetsi rekupedzisira (EM)_t) = simba rekinetic (EK)
EM_t = EK = ½ mv²
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika rakafanana nesimba remakanika rekupedzisira.
EM_o = EM_t
80 m = ½ mv²
80 = ½ v²
160 = v²
v = √160 = √(16)(10) = 4√10 m/s
Kumhanya kwebhuroko riri pasi pedenderedzwa rakanamira i4√10 metres/sekondi.

9. Chinhu chine huremu hwe1 kg, pakutanga chakazorora, chinoburitswa kubva pamusoro penzvimbo yakatsetseka yakareba mamita masere. Tsvaga simba rekufamba mushure mekunge chinhu chatsvedza panzvimbo yakatsetseka kwemamita mashanu…. (g = 10 m/s²)
Kukurukurirana
Zvinozivikanwa :
Huremu hwechinhu (m) = 0,2 kg
Kureba kwe hypotenuse iyo chinhu chinopfuura nepakati payo = mamita mashanu
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy (EK) yechinhu mushure mekutsvedza kwemamita mashanu
Jawab :
Danho rekutanga mukugadzirisa dambudziko iri nderekuverenga shanduko muhurefu hwechinhu mushure mekunge chinhu chatsvedza padenga rakarerekera kwemamita mashanu.
pasina 30^o = kureba kwerutivi rwakamira / kureba kwe hypotenuse
0,5 = kureba kwerutivi rwakamira / 5
Kureba kwerutivi rwakamira = (0,5)(5) = 2,5 metres
Kuchinja kwehurefu hwechinhu chacho mamita 2,5.

Simba rekutanga remakanika (EM)_o) = simba rekukwevera pasi (EP)
EM_o = EP = mgh = (1)(10)(2,5) = 25 maJoules
Simba remagetsi rekupedzisira (EM)_t) = simba rekinetic (EK)
EM_t = EK
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika rakafanana nesimba remakanika rekupedzisira.
EM_o = EM_t
25 = EK
Simba rekufamba kwechinhu mushure mekutsvedza kwechinhu nemamita mashanu i25 Joules.

 

Mutemo wekuchengetedza simba remakanika riri kufamba mundege yakakombama

10. Chinhu chine huremu hwe1 kg chinotsvedza chisina kukweshana kubva pakukwirira kwemamita mashanu pasina kumhanya kwekutanga. Simba rekufamba uye kumhanya kwechinhu chiri padanho rakaderera ndeizvi… g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
Huremu hwechinhu (m) = 1 kg
Kuchinja kwehurefu (h) = mamita mashanu
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy (EK) uye kumhanya (v) kwechinhu chiri panzvimbo yakaderera
Jawab :

(a) Kinetic simba rechinhu chiri padanho rakaderera
Kana chinhu chacho chakareba mamita mashanu uye chisati chatanga kufamba, chine simba rekukwevera asi hapana simba rekukwevera nekuti chichiri pazororo. Saka, simba rekutanga remuchina chinhu chisati chatanga kufamba isimba rekukwevera. Kana chinhu chatanga kufamba chichidzika, simba rekukwevera rinotanga kushanduka kuita simba rekukwevera. Kana chasvika padanho rakaderera, simba rese rekukwevera rinoshanduka kuita simba rekukwevera. Saka, simba rekupedzisira remuchina isimba rekukwevera.
Simba rekutanga remakanika = simba rekukwevera pasi
EM_o = EP = mgh = (1)(10)(5) = 50 maJoules
Simba remagetsi rekupedzisira = simba remagetsi
EM_t = EK = ½ mv_t²
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika rakafanana nesimba remakanika rekupedzisira..
EM_o = EM_t
EP = EK
50 = EK
Simba rekinetic (EK) riri pasi pechinhu chimwe chete ndiro 50 Joules.

(b) Kumhanya kwechinhu panzvimbo yakaderera
Nzira yekutanga:
Mutemo wekuchengetedza simba remakanika:
Simba rekutanga remakanika (EM)_o) = simba rekupedzisira remakanika (EM)_t)
Simba regiravhiti (EP) = simba rekinetic (EK)
50 = ½ mv²
2(50) / m = v²
100 / 1 = v²
100 = v²
v = √100
v = mamita gumi/sekondi
 
Nzira yechipiri:
Mutemo wekuchengetedza simba remakanika :
Simba rekutanga remakanika (EM)_o) = simba rekupedzisira remakanika (EM)_t)
Simba regiravhiti (EP) = simba rekinetic (EK)
mgh = ½ mv²
gh = ½ v²
2 gh = v²
2(10)(5) = v²
100 = v²
v = √100
v = mamita gumi/sekondi
Kumhanya kwechinhu panzvimbo yakaderera ndeye 10 m/s.

11. Chinhu chine huremu hwe2 kg chinotanga chakazorora, chinotsvedza chisina kukweshana kubva pakakwirira kwemamita gumi pamusoro pevhu. Simba rekufamba uye kumhanya kwechinhu chiri pakakwirira kwemamita maviri pamusoro pevhu… g = 10 m/s²
Kukurukurirana
Zvinozivikanwa :
Huremu hwechinhu (m) = 2 kg
Kuchinja kwehurefu (h) = 10 – 2 = mamita masere
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy (EK) uye kumhanya (v) kwechinhu chiri pakakwirira mamita maviri pamusoro pevhu.
Jawab :
Mhinduro yedambudziko iri yakafanana nemhinduro yedambudziko rekare.

(a) Simba reKinetic rechinhu chiri pakakwirira mamita maviri
Simba rekutanga remakanika = simba rekukwevera pasi
EM_o = EP = mgh = (2)(10)(8) = 160 maJoules
Simba remagetsi rekupedzisira = simba remagetsi
EM_t = EK = ½ mv_t²
Mutemo wekuchengetedza simba remakanika unotaura kuti simba rekutanga remakanika rakafanana nesimba remakanika rekupedzisira..
EM_o = EM_t
EP = EK
160 = EK
Simba rekinetic (EK) pakukwirira kwemamita maviri i160 Joules.

(b) Kumhanya kwechinhu panzvimbo yakaderera
Nzira yekutanga:
Mutemo wekuchengetedza simba remakanika:
Simba rekutanga remakanika (EM)_o) = simba rekupedzisira remakanika (EM)_t)
Simba regiravhiti (EP) = simba rekinetic (EK)
160 = ½ mv²
160 = ½ (2) v²
160 = v²
v = √160 = √(16)(10) = 4√10 mamita/sekondi

Nzira yechipiri:
Mutemo wekuchengetedza simba remakanika :
Simba rekutanga remakanika (EM)_o) = simba rekupedzisira remakanika (EM)_t)
Simba regiravhiti (EP) = simba rekinetic (EK)
mgh = ½ mv²
gh = ½ v²
2 gh = v²
2(10)(8) = v²
160 = v²
v = √160 = √(16)(10) = 4√10 mamita/sekondi
Kumhanya kwechinhu chiri pakakwirira mamita maviri i4√10 mamita/sekondi.

12. Munguva yechando, muSweden, makwikwi ekutsvedza muchando anoitwa mumakomo. Vatambi vanotsvedza muchando vanotsvedza kubva pakakwirira A sezvakaratidzwa mumufananidzo wechipiri.

Kana kumhanya kwekutanga kwemutambi weskier = zero, uye kumhanya kunokonzerwa negiravhiti = 10 ms ^-2 , saka kumhanya kwemutambi weskier pakukwirira B ndiko…

A. √2 ms ^-1

B. 5 √2 ms ^-1

C. 10 √2 ms ^-1

D. 20 √2 ms ^-1

E. 25 √2 ms ^-1

Kukurukurirana

Zvinozivikanwa kuti:

Kumhanya kwekutanga (v _o ) = 0

Kureba kwekutanga (h _o ) = 50 m – 10 m = 40 m

Kureba kwekupedzisira (h _t ) = 0

Kukurumidza kunokonzerwa negiravhiti (g) = 10 ms ^-2

Mubvunzo: Kumhanya kwekupedzisira (v _t )

Mhinduro:

Kuchinja kwesimba rekinetic:

ΔEK = 1/2 m (v)_t² - v_o²) = 1/2 m (v)_t² - 0) = 1/2 mv_t²

Kuchinja kwesimba rinogona kushandiswa:

Δ EP = mg (h _t – ho ₎ = m (10)(0-40) = m (10)(-40) = – 400 m

Verenga kumhanya kwekupedzisira (v _t ) uchishandisa fomura yemutemo wekuchengetedza simba remakanika:

0 = Δ EK + Δ EP

0 = 1/2 mv _t ² - 400 m

1/2 mv _t ² = 400 m

1/2 v _t ² = 400

v _t ² = 2 (400)

v _t = √(400)(2)

v _t = 20√2 m/s

Mhinduro chaiyo ndiD.

13. Bhora rine huremu hwe1 kg rinoburitswa uye rinotsvedza kubva panzvimbo A kuenda panzvimbo C nenzira yakakombama yakatsetseka sezvakaratidzwa mumufananidzo uri pazasi. kukurumidza nekuda kwegiravhiti = 10 ms^-2, ipapo kinetic energy (Ek) yebhora kana riri panzvimbo C ndiyo….

A. 25,0 joules
B. 22,5 joules
C. 20,0 majoules
D. 12,5 majoules
E. 7,5 majoules

Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora (m) = 1 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Kuchinja kwehurefu (h) = 0,75 m

Simba rekutanga regiravhiti (EP)_o) = mgh = (1)(10)(0,75) = 7,5 Joules
Simba rekutanga rekinetic (EK)_o) = ½ mv_o² = ½ m (0)²= = 0
Simba rekupedzisira regiravhiti (EP)_t) = mgh = mg (0) = 0
Mubvunzo: Kinetic simba (EK) rebhora kana riri panzvimbo C
Mhinduro:

Mutemo wekuchengetedza simba remuchina unoti simba remuchina rebhora panzvimbo yaro yekutanga rakaenzana nesimba rayo rekupedzisira remuchina panzvimbo yaro yekupedzisira. Mudambudziko iri, nzvimbo yekutanga inzvimbo yebhora risati raburitswa, uye nzvimbo yekupedzisira ndiyo poindi C.

Simba rekutanga remakanika (EM)_o) = Simba remagetsi rekupedzisira (EM)_t)
Simba rekutanga regiravhiti (EP)_o) + Simba rekutanga rekinetic (EK)_o) = Simba rekupedzisira rekukwevera pasi (EP)_t) + Simba rekupedzisira rekinetic (EK)_t)
7,5 Joules + 0 = 0 + EK_t
Majoules mazana mashanu = EK_t
Simba rekinetic (EK) rebhora riri papoindi C i7,5 Joules.
Mhinduro chaiyo ndiE.

14. Bhora A rine huremu hwe2 kg rinoburitswa uye rinofamba nenzira yakatsetseka sezvakaratidzwa mumufananidzo. Kana kukurumidza kunokonzerwa negiravhiti kuri 10 m/s^-2, simba rekufamba kwebhora kana muB ndi….

A. 4 joules
B. 8 joules
C. 10 majoules
D. 12 majoules
E. 24 majoules

Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora (m) = 2 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Kuchinja kwehurefu (h) = 120 cm = 1,2 metres

Simba rekutanga regiravhiti (EP)_o) = mgh = (2)(10)(1,2) = 24 Joules
Simba rekutanga rekinetic (EK)_o) = ½ mv_o² = ½ m (0)²= = 0
Simba rekupedzisira regiravhiti (EP)_t) = mgh = mg (0) = 0
Mubvunzo: Simba rebhora riri paB
Mhinduro:
Simba remuchina rebhora panzvimbo A (simba rekutanga remuchina) rakafanana nesimba remuchina rebhora panzvimbo B (simba rekupedzisira remuchina).

Simba rekutanga remakanika (EM)_o) = Simba remagetsi rekupedzisira (EM)_t)
Simba rekutanga regiravhiti (EP)_o) + Simba rekutanga rekinetic (EK)_o) = Simba rekupedzisira rekukwevera pasi (EP)_t) + Simba rekupedzisira rekinetic (EK)_t)
24 Joules + 0 = 0 + EK_t
EK_t = 24 Joule
Simba rekinetic (EK) rebhora riri papoindi C i24 Joules.
Mhinduro chaiyo ndiE.

 

Mutemo wekuchengetedza simba remakanika mukufamba kweparabolic

15. Bhora rine huremu hwe 0,1 kg rinorohwa nekumhanya kwe 10 m/s. Kana kona yekukwira iri 30^o uye kukurumidza kunokonzerwa negiravhiti ndeye 10 m/s² , sarudza (a) simba rekukwevera rebhora panzvimbo yakakwirira (b) nzvimbo yepamusoro kana kukwirira kwakanyanya.
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora (m) = 0,1 kg
Kumhanya kwekutanga (v)_o) = 10 m/s
Kona yekukwirira = 30^o
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa : kinetic energy (EK) yebhora panzvimbo yakakwirira
Jawab :

(a) Simba rekukwevera bhora panzvimbo yakakwirira
Nzira yebhora iri kufamba yakafanana nemufananidzo uri pazasi.
Kutanga verenga chikamu chekutanga chevelocity munzira yakatwasuka (v)_ox) uye yakamira (v_oy).
Kana nzira yekufamba kweparabolic yakafanana nemufananidzo uri pamusoro, saka kufamba kwacho munzira yakatwasuka kana yakatwasuka kunoongororwa seizvi. kufamba kwakafanana kwemutsetse uye kufamba kwenzira yakatwasuka kunoongororwa se kufamba kwakamira kumusoro. Mukufamba kwakafanana kwemutsara, kumhanya kunoramba kuripo panguva yese yekufamba. Kusiyana neizvi, mukufamba kwakatwasuka kumusoro, kana chinhu chasvika pakukwirira kwacho kwepamusoro kana kuti panzvimbo yepamusoro, chinomira kwechinguva chisati chadzokera shure. Saka, panzvimbo yepamusoro, kumhanya kwakatwasuka kwechinhu izero, asi panzvimbo yepamusoro, chinhu chichiri nekufamba kwakatwasuka kwev._ox.

Simba rekutanga remakanika
Bhora parinotanga kufamba, kureba kwaro kwakafanana nepasi kana pasi (h = 0), saka simba raro rekukwevera pasi izero (h = 0, saka EP = mgh = 0). Kusiyana neizvi, parinotanga kufamba, bhora rine kumhanya kwekutanga kwakanyanya, saka simba raro rekumhanya rakanyanya. Nokudaro, simba rekutanga remagetsi rebhora isimba rekumhanya.
Simba rekutanga remakanika (EM)_o) = simba rekinetic (EK)
EM_o = EK = ½ mv_o² = ½ (0,1)(10)² = ½ (0,1)(100) = ½ (10) = 5 Joules

Simba remagetsi rekupedzisira
Mushure mekutanga kufamba, kukwirira kwebhora kunowedzera, saka simba rayo rekukwevera rinokwira. Kana rasvika pakukwirira kwaro kwepamusoro, simba rayo rekukwevera rinosvika pakakwirira. Zvakadini nesimba rekufamba kwebhora? Pakukwirira kwaro kwepamusoro, kumhanya kwebhora kwakamira (voy) kunenge kuri zero, asi richiri nekufamba kwakatwasuka (vox).
Kinetic simba pakukwirira kwakanyanya :
EK = ½ mv_ox² = ½ (0,1)(5√3)² = ½ (0,1)((25)(3)) = ½ (0,1)(75) = 3,75 Joules

Mutemo wekuchengetedza simba remakanika:
Simba rekutanga remakanika (EM)_o) = simba rekupedzisira remakanika (EM)_t)
EK = EP + EK
5 = EP + 3,75
EP = 5 – 3,75 = 1,25 Joules
Simba regiravhiti rinogona kukweva pakukwirira kwakanyanya i1,25 Joules.
 
(b) Nzvimbo yepamusoro-soro kana kukwirira kwakanyanya
EP = mgh
1,25 = (0,1)(10) h
1,25 = awa
Kureba kwakanyanya mamita mashanu.

16. Bhora rine huremu hwe 0,1 kg rinokandwa rakatwasuka nekumhanya kwe 10 m/s kubva kumucheto kwechivako chakareba mamita gumi. Kana kumhanyisa nekuda kwesimba rinokwevera pasi panzvimbo iyoyo kuri 10 m/s², ipapo simba rekufamba kwebhora parinosvika pasi ndiro….
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora (m) = 0,1 kg
Kumhanya kwekutanga (v)_o) = 10 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Kuchinja kwehurefu (h) = 10 – 2 = mamita masere
Akabvunzwa : simba rebhora rinotenderera pakakwirira kwemamita maviri
Jawab :
Kana bhora rareba mamita gumi, rine simba rekukwevera pasi. Bhora rinotanga kufamba mushure mekukandwa nekukurumidza kwekutanga kwe10 m/s, saka rine simba rekukwevera pasi zvakare. Saka, simba rekutanga remuchina webhora isimba rekukwevera pasi + simba rekukwevera pasi.
Simba rekutanga regiravhiti (EP) = mgh = (0,1)(10)(10) = 10 Joules
Simba rekutanga rekinetic (EK) = ½ mv_o² = ½ (0,1)(10)² = ½ (0,1)(100) = ½ (10) = 5 Joules

Bhora parinofamba richidzika, kureba kwaro kunoderera, nokudaro zvichideredza simba raro rekukwevera pasi. Parinosvika pasi, kureba kwaro kwakafanana nekukwirira kwepasi (h = 0), saka simba raro rekukwevera pasi izero (h = 0, saka EP = mgh = 0). Simba rese rekukwevera pasi rinoshandurwa kuita simba rekinetic.
Simba rekupedzisira rekinetic = simba rekutanga regiravhiti + simba rekutanga rekinetic = 10 + 5 = 15 Joules