Matambudziko Akagadziriswa muFizikisi Yekutanga

Hukuru hwe torque yakakwana - matambudziko nemhinduro

1. Simba P rinoiswa kumucheto mumwe wedanda rine hurefu hwemamita maviri. Hukuru hwedanda iri chii? torsionChikamu chekutenderera panzvimbo A.

Hukuru hwe torque yakakwana - matambudziko nemhinduro 1Zvinozivikanwa:

Simba (F) = 10 N

Kureba kweAB (r)AB) = 2 m

Simba F rakamira rakanangana nedanda.

Ruoko rwechiredzo (l)) =rAB pasina 90o = (2 m)(1) = 2 m

Kuda: Torque yakatenderedza axis yekutenderera

Solution:

Torque:

τ = F l = (10 N)(2 m) = 20 N m

Chiratidzo chekuwedzera nekuda kwedanda inotenderera ichitenderera nenzira inopokana newachi.

2. Kureba kwedanda AB iri 2 m uye hukuru hwesimba F iri 10 N. Hukuru hwetorque chii? Mutsetse wekutenderera panzvimbo A.

Hukuru hwe torque yakakwana - matambudziko nemhinduro 2Zvinozivikanwa:

Simba (F) = 10 N

Kureba kweAB (r)AB) = 2 m

Ruoko rwechiredzo (l)) =rAB pasina 60o = (2 m)(0.5√3) = √3 m

Kuda: Torque yakatenderedza axis yekutenderera

Solution:

Torque:

τ = F l = (10 N)(√3 m) = 10√3 N m

Chiratidzo chekuwedzera nekuti simba F ndiro rinokonzeresa danda inotenderera ichitenderera nenzira inopokana newachi.

3. Kureba kwedanda i2 m. Hukuru hweF1 iri 10 N uye hukuru hweF2 is 15 N. Tsvaga torque yakakwana pakati pedanda.

Chinotenderera pakati pedanda.

Hukuru hwe torque yakakwana - matambudziko nemhinduro 3Zvinozivikanwa:

Simba 1 (F)1) = 10 N

The mufambo pakati paF1 uye pakati pedanda (r1) = 1 m

Ruoko rwechiredzo 1 (l)1) =r1 pasina 90o = (1 m)(1) = 1 m

Simba F1 yakatwasuka padanda.

Simba 2 (F)2) = 15 N

Daro riri pakati peF2 uye pakati pedanda (r2) = 1 m

Simba F2 yakatwasuka padanda.

Ruoko rwechiredzo 2 (l)2) =r1 pasina 90o = (1 m)(1) = 1 m

Zvaidiwa: Tane torque yakakwana yakatenderedza axis yekutenderera

Solution:

Torque 1:

τ1 =F1 l1 = (10 N)(1 m) = 10 N m

Chiratidzo chekuwedzera nekuda kwesimba raF1 chinokonzera danda inotenderera ichitenderera nenzira inopokana newachi.

Torque 2:

τ2 =F2 l2 = (15 N)(1 m) = -15 N

Chiratidzo chekusiya nekuti simba F2 zvinoita kuti danda riite inotenderera newachi.

Torque yemagetsi:

Στ = τ1 – τ2 = 10 – 15 = – 5 N m

Chiratidzo chekubvisa nekuti danda riri inotenderera newachi.

4. Kureba kwemuti AB ndiko 2 m, Hukuru hweF1 iri 10 N uye hukuru hweF2 is 10 N. Tsvaga torque yepakati pedanda.

Hukuru hwe torque yakakwana - matambudziko nemhinduro 4Chinotenderera pakati pedanda.

Zvinozivikanwa:

Simba 1 (F)1) = 10 Nn

Daro riri pakati peF1 uye pakati pedanda (r1) = 1 m

Ruoko rwechiredzo 1 (l)1) =r1 pasina 60o = (1 m)(0.5√3= = 0.5√3 m

Simba 2 (F)2) = 10 N

Daro riri pakati peF2 uye pakati pedanda (r2) = 1 m

Simba F2 yakatwasuka padanda.

Ruoko rwechiredzo 2 (l)2) = r2 pasina 90o = (1 m)(1) = 1 m

Zvaidiwa: Torque yemagetsi inotenderera ne axis yekutenderera

Solution:

Torque 1:

τ1 =F1 l1 = (10 N)(0.5√3 m) = 5√3 = 8.7 Nm

Chiratidzo chekuwedzera nekuti simba F1 zvinoita kuti danda riite inotenderera newachi.

Torque 2:

τ2 =F2 l2 = (10 N)(1 m) = -10 N m

Chiratidzo chekusiya nekuti simba F2 zvinoita kuti danda riite inotenderera newachi.

Torque yemagetsi:

Στ = τ1 – τ2 = 8.7 – 10 = – 1.3 N m

Chiratidzo chekusiya nekuti simba remagetsi rinokonzeresa kuti danda riite inotenderera newachi.

5. Kureba kwedanda i10 m, hukuru hwaF1 iri 10 N, hukuru hwaF2 iri 10 N uye hukuru hweF3 iri 15 N. Daro riri pakati penzvimbo A nenzvimbo C i7.5 m. Simba F2 iri pakati pedanda. Sarudza torque ine simba pamusoro pepoindi C iri pa2.5 m kubva poindi B.

Nzvimbo yekutenderera iri panzvimbo C

Hukuru hwe torque yakakwana - matambudziko nemhinduro 5Zvinozivikanwa:

Simba 1 (F)1) = 10 N

Daro riri pakati peF1 uye poindi C (r)1) = 2.5 m

Simba F1 yakatwasuka padanda.

Ruoko rwechiredzo 1 (l)1) =r1 pasina 90o = (2.5 m)(1) = 2.5 m

Simba 2 (F)2) = 10 N

Daro riri pakati peF2 uye poindi C (r)2) = 2.5 m

Simba F2 yakatwasuka padanda.

Ruoko rwechiredzo 2 (l)2) = r2 pasina 90o = (2.5 m(1) = 2.5 m

Simba 3 (F)3) = 15 N

Daro riri pakati peF3 uye point C (r)3) = 7.5 m

Simba F3 yakatwasuka padanda.

Ruoko rwechiredzo 3 (l)3) = r3 pasina 90o = (7.5 m)(1) = 7.5 m

Zvaidiwa: Torque yemagetsi inotenderera ne axis yekutenderera

Solution:

Torque 1:

τ1 =F1 l1 = (10 N)(2.5 m) = 25 N m

Chiratidzo chekuwedzera nekuti simba F1 zvinoita kuti danda riite inotenderera newachi.

Torque 2:

τ2 =F2 l2 = (10 N)(2.5 m) = 25 N m

Tiye pamwe chete chiratidzo nekuti simba F2 zvinoita kuti danda riite inotenderera newachi.

Torque 3:

τ3 =F3 l3 = (15 N)(7.5 m) = -112..5 N m

Chiratidzo chekusiya nekuti simba F3 zvinoita kuti danda riite inotenderera newachi.

Torque yemagetsi:

Στ = τ1 + τ2 – τ3 = 25 + 25 - 112.5 = – 62.5 N m

Chiratidzo chekusiya nekuti simba remagetsi rinokonzeresa kuti danda riite inotenderera newachi.

6. Kureba kwedanda i10 m, hukuru hwaF1 iri 10 N, hukuru hwaF2 iri 10 N uye hukuru hweF3 iri 10 N. Tsvaga torque ine mambure pamusoro penzvimbo A, iri 5 m kubva papoiHukuru hwe torque yakakwana - matambudziko nemhinduro 6kushandiswa kwesimba F1.

Kutenderera kwechikamu chepakati peA.

Zvinozivikanwa:

Simba 1 (F)1) = 10 N

Daro riri pakati peF1 uye poindi A (r)1) = 5 m

Ruoko rwechiredzo 1 (l)1) =r1 pasina 60o = (5 m)(0.5√3= = 2.5√3 m

simba 2 (F)2) = 10 N

Daro riri pakati peF2 uye poindi A (r)2= = 0

Simba F2 yakatwasuka padanda.

Ruoko rwechiredzo 2 (l)2) = r2 pasina 90o = (0)(1) = 0

Simba 3 (F)3) = 10 N

Daro riri pakati peF3 uye poindi A (r)3) = 10 m

Ruoko rwechiredzo 3 (l)3) = r3 pasina 30o = (10 m)(0.5) = 5 m

Zvaidiwa: torque yemagetsi yakatenderedza axis yekutenderera

Solution:

Torque 1:

τ1 =F1 l1 = (10 N)(2.5√3 m) = 25√3 = 43.3 N m

Chiratidzo chekuwedzera nekuti simba F1 zvinoita kuti danda riite inotenderera newachi.

Torque 2:

τ2 =F2 l2 = (10 N)(0) = 0

Torque 3:

τ3 =F3 l3 = (10 N)(5 m) = -50 N m

Chiratidzo chekusiya nekuti simba F3 zvinoita kuti danda riite inotenderera newachi.

Torque yemagetsi:

Στ = τ1 + τ2 – τ3 = 43.3 + 0 - 50 = – 6.7 N m

Chiratidzo chekusiya nekuti simba remagetsi rinokonzeresa kuti danda riite inotenderera newachi.

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Kubonderana kusina kusimba muchikamu chimwe chete - matambudziko nemhinduro

1. A 500-grndiri chinhu, A, ndichifamba pa 10 m / s uye chinhu che200-gram, B, chichifamba ne12 m/s. Zvinhu zvinoswedera pedyo zvobonderana. Kana kumhanya kwechinhu A mushure me kudhumhana iri 6 m/s, chii chiri kumhanya kwechinhu B mushure mekubonderana?

Zvinozivikanwa:

Misa yechinhu 1 (m1) = magiramu mazana mashanu = 0.5 kg

Misa yechinhu 2 (m2) = magiramu mazana mashanu = 0.2 kg

Pakutanga velocity yechinhu 1 (v1) = -10 m/s

Kumhanya kwekutanga kwechinhu 2 (v2) = 12 m/s

Kumhanya kwekupedzisira kwechinhu 1 (v1') = 6 m/s

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

Wanted : kumhanya kwekupedzisira kwechinhu 2 (v2')

Solution:

m1 v1 +m2 v2 = m1 v1' + m2 v2'

(0.5)(-10) + (0.2)(12) = (0.5)(6) + (0.2)(v2')

-5 + 2.4 = 3 + 0.2 v2'

-2.6 = 3 + 0.2 v2'

-2.6 – 3 = 0.2 v2'

-5.6 = 0.2 v2'

v2' = -5.6 / 0.2

v2' = -28 m/s

Kumhanya kwechinhu chechipiri mushure mekurovera i28 m/s.

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

2. Zvinhu zviviri zvakaenzana nehuremu zvinosangana zvosangana. Kumhanya kwechinhu 1 i6 m/s uye kumhanya kwechinhu 2 i8 m/s. Mushure mekusangana, chinhu 2 chinofamba kuruboshwe nekumhanya kwe5 m/s. Chii chiri kukura uye gwara rekumhanya kwechinhu 1 mushure me kudhumhana?

Ziva :

Misa yechinhu 1 (m1) = m

Misa yechinhu 2 (m2) = m

Kumhanya kwekutanga kwechinhu 1 (v1) = -6 m/s

kumhanya kwekutanga kwechinhu 2 (v2) = 8 m/s

Kumhanya kwekupedzisira kwechinhu 2 (v2') = -5 m/s

Wanted : hukuru uye gwara rechinhu 1 mushure mekurovera

Solution:

Fomura ye kuchengetedzwa kwesimba rakatsetseka :

m1 v1 +m2 v2 = m1 v1' + m2 v2'

mv1 +m v2 = m v1' + m v2'

m (v)1 + v2) = m (v1' + v2')

v1 + v2 =v1' + v2'

-6 + 8 = v1' – 5

2 = v1' – 5

2 + 5 = v1'

v1' = 7 m/s

Kumhanya kwechinhu 1 mushure mekubonderana (v1') is 3m/s

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

3. Bhora re1-kg rine 1 ne2-kg rine divi rimwe chete uye rinobonderana zvisina kusimba. Bhora rekutanga risati rabonderana, bhora rekutanga rinofamba nekumhanya kwe10 m/s uye bhora rechipiri rinofamba nekumhanya kwe5 m/s. Kumhanya kwebhora rechipiri mushure mekubonderana i4 m/s. Sarudza kumhanya kwebhora rekutanga mushure mekubonderana.

Zvinozivikanwa:

Misa bhora 1 (m1) = 1 kg

Misa bhora 2 (m2) = 2 kg

Kumhanya kwebhora 1 (mukati1) = 10 m/s

Kumhanya kwebhora 2 (v2) = 5 m/s

Kumhanya kwekupedzisira kwebhora 2 (v2') = 4 m/s

Chiratidzo chekuwedzera chekukurumidza chinoratidza kuti mabhora ane divi rimwe chete.

Wanted : kumhanya kwekupedzisira kwebhora 1 (v1')

Solution:

m1 v1 +m2 v2 = m1 v1' + m2 v2'

(1)(10) + (2)(5) = (1)(v)1') + (2)(4)

10 + 10 = v1' + 8

20 - 8 = v1'

v1' = 12 m/s

Kumhanya kwebhora 1 mushure mekuroverana ndiko 12m/s

[wpdm_package id='1190′]

  1. Matambudziko emutsara uye mhinduro
  2. Matambudziko ekukurumidza uye ekukurumidza uye mhinduro
  3. Kuroverana kwakakwana mumatambudziko echikamu chimwe chete uye mhinduro
  4. Kuroverana kwakakwana kwekusagadzikana mumatambudziko echikamu chimwe chete uye mhinduro
  5. Kusangana kweinelastic mumatambudziko echikamu chimwe chete uye mhinduro

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Kubonderana kweInelastic muchikamu chimwe chete - matambudziko nemhinduro

1. Bara remagiramu makumi matatu richifamba ne30 m/s rinoroverana nebara re1 kg rakamira. Sarudza kumhanya kwebara kana bara nebara zvikabatana pamwe chete nekuda kwe kudhumhana.

Zvinozivikanwa:

Misa yebara (m1) = magiramu mazana mashanu = 0.03 kg

Misa yebhuroko (m2) = 1 kg

Kumhanya kwekutanga kwebara (v1) = 30 m/s

kumhanya kwekutanga kweblock (v2) = 0 (vhara pakuzorora)

Wanted : kumhanya kwebara neblock mushure mekubonderana (v')

Solution:

m1 v1 +m2 v2 = (m1 +m2) v'

(0.03)(30) + (1)(0) = (0.03 + 1) v'

0.9 + 0 = 1.03 v'

0.9 = 1,03 v'

v' = 0.9 / 1,03

v' = 0.87 m/s

2. Bhora rebhiriyadhi A rine huremu hwe2 kg richifamba nekumhanya vA = 6 ms-1 inoroverana zvakananga nebhora B rine huremu hwakaenzana. Kana kuroverana kwacho kusina kusimba zvakakwana, kumhanya kwemabhora maviri mushure mekuroverana ndekupi.

Zvinozivikanwa:

Huremu A (m)A) = 2 kg

Huremu B (m)B) = 2 kg

Kumhanya kwekutanga kwebhora A (vA) = -6 m/s

Kumhanya kwekutanga kwebhora B (vB) = 4 m/s

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

Wanted: kumhanya kwemabhora maviri mushure mekuroverana. (v')

Solution:

mA vA +mB vB = (mA' + mB) v'

(2)(-6) + (2)(4) = (2 + 2) v'

-12 + 8 = 4 v'

-4 = 4 v'

v' = -4 / 4

v' = -1 m/s

3. m1 = 3 kg uye m2 = 4 kg vanoswederana munzira yakasiyana nekumhanya kwe v1 = 10 m/s uye v2 = 12 m/s. Kana kuroverana kwacho kusina kunyatsosimba, mabhora maviri aya anomhanya zvakadii mushure mekuroverana?

Zvinozivikanwa:

Misa Chinhu 1 (m1) = 3 kg

Misa Chinhu 2 (m2) = 4 kg

Kumhanya kwechinhu 1 (v1) = -10 m/s

Kumhanya kwechinhu 2 (v2) = 12 m/s

Wanted : kumhanya mushure mekubonderana (v')

Solution:

m1 v1 +m2 v2 = (m1' + m2) v'

(3)(-10) + (4)(12) = (3 + 4) v'

-30 + 48 = 7 v'

18 = 7 v'

v' = 18 / 7

v' = 2.6 m/s

[wpdm_package id='1157′]

  1. Matambudziko emutsara uye mhinduro
  2. Matambudziko ekukurumidza uye ekukurumidza uye mhinduro
  3. Kuroverana kwakakwana mumatambudziko echikamu chimwe chete uye mhinduro
  4. Kuroverana kwakakwana kwekusagadzikana mumatambudziko echikamu chimwe chete uye mhinduro
  5. Kusangana kweinelastic mumatambudziko echikamu chimwe chete uye mhinduro

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Kubonderana kwakanyatsosimba muchikamu chimwe chete - matambudziko nemhinduro

1. Bhora remagiramu 200, A, richifamba nekumhanya kwe10 m/s rinorova bhora remagiramu 200, B, parakambomira. Chii chinonzi kumhanya kwebhora A nebhora B mushure me kudhumhana?

Zvinozivikanwa:

Misa yebhora A (mA) = magiramu mazana mashanu = 0.2 kg

Huremu hwebhora B (m)B) = magiramu mazana mashanu = 0.2 kg

Kumhanya kwebhora A usati warovera (v)A) = 10 m/s

Kumhanya kwebhora B usati warovera (v)B= = 0

Kuda: kumhanya kwebhora A (v)A') uye kumhanya kwebhora B (v)B') mushure mekuroverana

Solution:

vA' = vB = 0

vB' = vA = 10 m/s

2. Zvinhu zviviri zvakaenzana zvine huremu zvinosangana, zvobonderana zvobva zvasvetuka. Kumhanya kwehuremu A isati yaroverana i8 m/s uye kumhanya kwehuremu B isati yaroverana i12 m/s. Ndeipi hukuru uye gwara reiyo velocity yehukuru A uye huremu B mushure mekuroverana!

Zvinozivikanwa:

Huremu A (m)A) = m

Huremu B (m)B) = m

Kumhanya kwehukuru A usati warovera (v)A) = -8 m/s

Kumhanya kwehukuru B usati wasangana (v)B) = 12 m/s

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

Kuda: hukuru uye gwara rekumhanya kwehukuru A (v)A') uye huremu B (vB') mushure mekuroverana

Solution:

Mukusangana kwakanyatsosimba, kana zvinhu zvine huremu hwakaenzana, ipapo kumhanya kwaA mushure mekusangana (v)A') = kumhanya kwaB usati warovera (vB) uye kumhanya kwaB mushure mekuroverana (vB') = kumhanya kwaA pamberi pekurovera (v)A).

Kana A ichienda kurudyi uye B ichienda kuruboshwe, ipapo, mushure mekurovera, A inoenda kuruboshwe uye B inoenda kurudyi.

Zvinhu izvi zvine huremu hwakaenzana uye Kuroverana kwakanyatsosimba saka zvinhu zvese zviri zviviri zvinochinjana kumhanya.

vA' = -vB = -12 m/s

vB' = vA = 8 m/s

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

3. Chinhu chinorema 2 kg, A, chichifamba nekumhanya kwe10 m/s chinorova bhora re4 kg, B, chichifamba nekumhanya kwe20 m/s. Kana kuroverana kwacho kwakanyatsopfava, chii chinomhanya chinhu A nechinhu B mushure mekuroverana?

Zvinozivikanwa:

Huremu A (m)A) = 2 kg

Huremu B (m)B) = 4 kg

Kumhanya kwechinhu A usati wasangana (v)A) = 10 m/s

Kumhanya kwechinhu B chisati chasangana (v)B) = 20 m/s

Wanted : kumhanya kwechinhu A (v)A') uye kumhanya kwechinhu B (vB') mushure mekubonderana

mhinduro :

In zvakakwana elastic kudhumhana, kana zvinhu zvacho zvine huremu hwakaenzana uye zvichiswedera pedyo, kumhanya kwechinhu mushure mekubonderana kunoverengerwa uchishandisa fomura iyi:

Kubonderana kwakanyatsosimba muchikamu chimwe chete - matambudziko nemhinduro 1

Kumhanya kwechinhu A mushure mekubonderana:

Kubonderana kwakanyatsosimba muchikamu chimwe chete - matambudziko nemhinduro 2

4. 100-gram ichifamba ne20 m/s inorova madziro akapfava zvakakwana. Chii chiri kukura uye divi rekumhanya kwechinhu mushure mekurovera.

Zvinozivikanwa:

Huremu (m)A) = magiramu mazana mashanu = 0.1 kg

Huremu hwemadziro (m)B) = kusingaperi

Kumhanya kwehukuru usati wasangana (v)A) = 20 m/s

Kumhanya kwehukuru mushure mekurovera (v)B= = 0

Wanted : hukuru uye gwara rekumhanya mushure mekurovera

Solution:

Kana vB = 0, mA kadiki kwazvo uye m2 hombe kwazvo kupfuura vA' = -vA uye v2' = 0.

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

5. Mabhora maviri, A nehukuru hwe 2 kg uye bhora B rine huremu hwe 5-kg, mufananidzo uri pazasi unoratidza kuti bhora A risati rasangana uye rapera. Kana bhora iri rakanyatsosimba, chii chinoita kuti bhora A risati rasangana?

Zvinozivikanwa:

Huremu hwebhora A (m)A) = 2 kgKubonderana kwakanyatsosimba - matambudziko nemhinduro 1

Huremu hwebhora B (m)B) = 5 kg

Kumhanya kwebhora B vasati vasangana (vB) = 2 m/s

Kumhanya kwebhora A mushure mekubonderana (vA') = 5 m/s

Kumhanya kwebhora B mushure mekubonderana (vB') = 4 m/s

Mabhora ese ari maviri ari kufamba kurudyi saka kumhanya kwavo kwakaratidza kuti vane hunyanzvi.

Zvaidiwa: Kumhanya kwebhora A usati warovera (vA)

Solution:

mA vA +mB vB = mA vA' + mB vB'

2(v)A) + (5)(2) = (2)(5) + (5)(4)

2(v)A) + 10 = 10 + 20

2(v)A) + 10 = 30

2(v)A) = 30 - 10

2(v)A= = 20

vA = 20 / 2

vA = 10 m/s

6. Zvinhu A naB zvinofamba zvakatwasuka, sezvakaratidzwa mumufananidzo uri pazasi. Kana kuroverana kwacho kwakanyatsopfava uye kumhanya kwechinhu B mushure mekuroverana kwacho kuri 15 m / s1, chii chinonzi kumhanya kwechinhu A mushure mekubonderana.

Zvinozivikanwa:

Huremu hwechinhu A (m)A) = 5 kgKubonderana kwakanyatsosimba - matambudziko nemhinduro 2

Huremu hwechinhu B (m)B) = 2 kg

Kumhanya kwechinhu A usati wasangana (vA) = 12 m/s

Kumhanya kwechinhu B usati wasangana (vB) = 10 m/s

Kumhanya kwechinhu B mushure mekubonderana (vB') = 15 m/s

Zvinhu zvose, zvisati zvaitika uye zvapera, zvinofamba kurudyi kuitira kuti kumhanya kwazvo kuratidze kuti zvakanaka.

Zvaidiwa: Kumhanya kwechinhu A mushure mekubonderana (vA')

Solution:

mA vA +mB vB = mA vA' + mB vB'

(5)(12) + (2)(10) = (5)vA' + (2)(15)

60 + 20 = (5)vA'+ 30

80 = (5)vA'+ 30

80 – 30 = (5)vA'

50 = (5)vA'

vA' = 50/5

vA' = 10 m/s

[wpdm_package id='1156′]

  1. Matambudziko emutsara uye mhinduro
  2. Matambudziko ekukurumidza uye ekukurumidza uye mhinduro
  3. Kuroverana kwakakwana mumatambudziko echikamu chimwe chete uye mhinduro
  4. Kuroverana kwakakwana kwekusagadzikana mumatambudziko echikamu chimwe chete uye mhinduro
  5. Kusangana kweinelastic mumatambudziko echikamu chimwe chete uye mhinduro

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Kukurumidza uye kusundidzira - matambudziko nemhinduro

1. Bhora diki rinokandwa rakatarisa pasi nekumhanya kwakafanana kwe10 m/s. Bhora rinorova madziro uye rinodzoka nekumhanya kwakafanana. Chii chiri kuchinja uku? simba rakatsetseka yebhora?

Zvinozivikanwa:

Misa (m) = 0.2 kg

Kumhanya kwekutanga (v)o) = -10 m/s

Kumhanya kwekupedzisira (v)t) = 10 m/s

Zviratidzo zve "plus" ne "minus" zvinoratidza kuti zvinhu zviri kufamba nenzira yakasiyana.

Wanted : kuchinja kwemutsara wemutsara (Δp)

Solution:

Fomura yekuchinja kwemutsara wemutsara :

Δp = mvt - mvo = m (v)t - vo)

Kuchinja kwemutsara wemutsara:

Δp = 0.2 (10 – (-10)) = 0.2 (10 + 10)

Δp = 0.2 (20)

Δp = 4 kg m/s

2. Bhora remagiramu gumi anowira zvakasununguka kubva pakakwirira, inorova pasi pa15 m/s, yozodzoka ichikwira mudenga pa10 m/s. Tsvaga kuti chii chinopa simba!

Zvinozivikanwa:

Huremu (m) = magiramu gumi = 0.01 kg

Kumhanya kwekutanga (v)o) = -15 m/s

Kumhanya kwekupedzisira (v)t) = 10 m/s

Zvaidiwa: Kufungidzira (I)

Solution:

Chiratidzo (I) chakaenzana nekuchinja kwesimba (Δp)

Ini = mvt - mvo = m (v)t - vo)

Kufurirwa:

Ini = 0.01 (10 – (-15)) = 0.01 (10 + 15)

Ini = 0.01 (25)

I = 0.25 kg m/s

3. Bhora remagiramu mazana maviri rakakandwa rakatwasuka nekumhanya kwe4 m/s, bhora rikabva rarohwa nenzira imwe chete. Nguva yebhora kana richibata bhora i2 milma liseconds uye kumhanya kwebhora mushure mekubuda mubat ndeye 12 m/s. hukuru hwe simba exerted neanorova ari pabhora ndiye …

Zvinozivikanwa:

Huremu (m) = magiramu gumi = 0.2 kg

Kumhanya kwekutanga (v)o) = 4 m/s

Kumhanya kwekupedzisira (v)t) = 12 m/s

Nguva (t) = 2 milliseconds = (2/1000) masekondi = 0.002 masekondi

Wanted : Hukuru hwesimba (F)

Solution:

Fomura yepfungwa:

Ini = F t

Fomura yekuchinja kwesimba:

mvt - mvo = m (v)t - vo)

Chiratidzo (I) chakaenzana nekuchinja kwesimba (Δp)

Ini = Δp

F t = m (v)t - vo)

F (0.002) = (0.2)(12 - 4)

F (0.002) = (0.2)(8)

F (0.002) = 1.6

F = 1.6 / 0.002

F = 800 Newton

[wpdm_package id='1155′]

  1. Matambudziko emutsara uye mhinduro
  2. Matambudziko ekukurumidza uye ekukurumidza uye mhinduro
  3. Kuroverana kwakakwana mumatambudziko echikamu chimwe chete uye mhinduro
  4. Kuroverana kwakakwana kwekusagadzikana mumatambudziko echikamu chimwe chete uye mhinduro
  5. Kusangana kweinelastic mumatambudziko echikamu chimwe chete uye mhinduro

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Kumhanya kwemutsara - matambudziko nemhinduro

1. Chinhu chinofamba ne10 m/s isingachinji. Verenga simba rakatsetseka yechinhu chacho.

Inozivikanwa :

Misa (m) = 1 kg

Velocity (v) = 10 m/s

Zvaidiwa: simba rakatsetseka (p)

Solution:

Fomura yemutsara wemutsara:

p = mv

p = kumhanya kwakatwasuka, m = uremu, v = kumhanya

Mwero wemutsara:

p = mv = (1)(10) = 10 kg m/s2

2. Chivharo che2-kg nebhuroko re4-kg zvinofamba pa20 m/s. Chii chinonzi linear momentum yemabhuroko?

Zvinozivikanwa:

Misa yebhuroko A (m)A) = 2 kg

Misa yebhuroko B (m)B) = 4 kg

Kumhanya kwebhuroko A (v)A) = 20 m/s

Kumhanya kwebhuroko B (v)B) = 20 m/s

Zvaidiwa: Mwero wemutsara webhokisi A (p)A) uye kumhanya kwakanangana kwebhokisi B (pB)

Solution:

Mwero wemutsara webhokisi A :

pA = mA vA = (2)(20) = 40 kg m/s

Mwero wemutsara webhokisi B :

pB = mB vB = (4)(20) = 80 kg m/s

3. Bhurukwa re2-kg rinofamba ne 2 m/s uye bhurukwa re2-kg rinofamba ne 4 m/s. Sarudza kuti mabhuroko acho akamira sei.

Zvinozivikanwa:

Misa yebhuroko A (m)A) = 2 kg

Huremu hwebhuroko B (mB) = 2 kg

Kumhanya kwebhuroko A (v)A) = 2 m/s

Kumhanya kwebhuroko B (vB) = 4 m/s

Zvaidiwa: simba rakatsetseka remabhuroko

Solution:

Linear momentum yebhuroko A :

pA = mA vA = (2)(2) = 4 kg m/s

Mwero wemutsara webhokisi B:

pB = mB vB = (2)(4) = 8 kg m/s

4. Chinhu chinorema 5 kg chiri pazororo. Chii chinonzi linear momentum ye momentum?

Zvinozivikanwa:

Huremu (m) = 5 kg

Kumhanya kwechinhu (v) = 0

Wanted : simba rakatsetseka (p)

Solution:

p = mv = (5)(0) = 0

[wpdm_package id='1155′]

  1. Matambudziko emutsara uye mhinduro
  2. Matambudziko ekukurumidza uye ekukurumidza uye mhinduro
  3. Kuroverana kwakakwana mumatambudziko echikamu chimwe chete uye mhinduro
  4. Kuroverana kwakakwana kwekusagadzikana mumatambudziko echikamu chimwe chete uye mhinduro
  5. Kusangana kweinelastic mumatambudziko echikamu chimwe chete uye mhinduro

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Simba - matambudziko nemhinduro

Simba ndiro chiyero chinoitwa basa munguva yakatarwa. Pamasvomhu, simba ndiro chiyero chebasa/nguva.

P = W/t

Tsananguro: P = simba (Joule/yechipiri = Watt), W = basa (Joule), t = nguva yechinguva (yechipiri)

Zvichibva pachiyero ichi, zvinogona kugumiswa kuti kana mwero webasa wakawanda, simba rawo rinokura. Kune rumwe rutivi, mwero webasa udiki, simba rawo rinoderera. Mwero webasa unoreva mwero unoitirwa basa.

Simba i scalar. Chikamu cheSI chesimba ndiJoule/chechipiri. Joule/chechipiri = Watt (yakapfupikiswa saW), yakatumidzwa zita iri kuratidza rukudzo kuna James Watt. Chikamu cheumambo hweBritain chesimba i foot-pounds pasekondi.

Chishandiso ichi chidiki zvakanyanya kuti chishandiswe, saka chinoshandiswa simba guru remabhiza (rakapfupikiswa sehp). Simba rimwe chete remabhiza = 550 foot-pounds pasekondi = 764 Watts = ¾ kilowatt.

Huwandu hwebasa hunogonawo kuratidzwa mumagetsi x nguva, semuenzaniso, kilowatt-hours kana kWh. KWh imwe chete inoreva basa rinoitwa nechiyero chisingachinji che1 kiloWatt kweawa imwe chete.

1. A 50-kg munhu anomhanya kukwira masitepisi kukwirira kwemamita gumi in 2 maminitsi. Akukurumidza nekuda kwe giravhiti (g) i10 m/s2. Sarudza iyo simba.

Zvinozivikanwa:

Misa (m) = 50 kg

urefu (h) = 10 meters

Kuwedzera nekuda kwegiravhiti (g) = 10 m/s2

Nguva yenguva (t) = 2 Mineti = 2 (60) = 120 chepiris

Wanted : simba (P)

Solution:

Fomura yesimba:

P=W/t

P= simba, W = basa, t = nguva

Fomura Yebasa:

W = F s = wh = mgh

W= basa, F = simba, w = uremu, d = kudzingiswa, h = urefu, m = huremu, g = kukurumidza nekuda kwegiravhiti

W = mgh = (50)(10)(10) = 5000 Joules.

P = W / t = 5000 / 120 = 41.7 Joules/second.

2. Verenga simba rinodiwa nemunhu anorema 60 kg anokwira muti wakareba mamita mashanu mumasekonzi gumi. Kukurumidza kwesimba nekuda kwegiravhiti i10 m/s2.

Zvinozivikanwa:

Huremu (m) = 60 kg

urefu (h) = mamita mashanus

Kuwedzera nekuda kwegiravhiti (g) = 10 m/s2

Nguva yenguva (t) = 10 masekondi

Wanted : simba

Solution:

Basa:

W = mgh = (60)(10)(5) = 3000 maJoules

Simba:

P = W / t = 3000 / 10 = 300 Joules/semamiriro ezvinhu.

3. Mutambo wekusetsa unotenderera une simba rema watts mazana matatu nenguva yemaminitsi mashanu uchitenderera marounds mashanu. Simba raunoshandisa i….

A. 15 kJ

B. 75 kJ

C. 90 kJ

D. 450 kJ

Zvinozivikanwa:

Simba (P) = 300 Watts = 300 Joules/sekondi

Nguva (T) = maminetsi mashanu = 5 (masekondi makumi matanhatu) = masekondi mazana matatu

Nhamba yekutenderera = 5

Kuda: Simba rinoshandiswa nemutambo wekusetsa we "rotary comedy"

Solution:

Simba - matambudziko nemhinduro

Mhinduro chaiyo ndiD.

[wpdm_package id='1190′]

  1. Basa rakaitwa nechisimba matambudziko uye mhinduro
  2. Matambudziko esimba rekushanda nemhinduro
  3. Matambudziko nemhinduro dzesimba rebasa-remakanika
  4. Matambudziko esimba rinogona kukweva simba uye mhinduro dzaro
  5. Simba rinogona kuwanikwa mumatambudziko e elastic spring uye mhinduro dzaro
  6. Matambudziko emagetsi nemhinduro
  7. Kushandiswa kwekuchengetedza simba remakanika kuti kufamba kwemahara kuwa
  8. Kushandiswa kwekuchengetedza simba remakanika pakufamba kumusoro nekudzika mukufamba kwemahara kwemvura
  9. Kushandiswa kwekuchengetedza simba remakanika kuti rifambe pamusoro wakakombama
  10. Kushandiswa kwekuchengetedza simba remakanika pakufamba mundege yakatsamira
  11. Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezviratidziro

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Kushandiswa kwekuchengetedza simba remakanika pakufamba mundege yakatsamira - matambudziko nemhinduro

1. Bhokisi rinotsvedza pasi parinotsvedza ndege yakatsamira pasina kukwesheraChii chinonzi block's velocity kana yarova pasi. Kukurumidza kwesimba regiravhiti i10 m/s2

Kushandiswa kwekuchengetedza simba remakanika pakufamba kwendege yakatsamira 1Zvinozivikanwa:

Kureba (h) = 8 m

Kuwedzera nekuda kwegiravhiti (g) = 10 m/s2

Wanted : kumhanya (v)

mhinduro :

Simba rekutanga remakanika (ME)o) = simba regiravhiti (FOOT)

MEo = PE = mgh = m (10) (8) = 80 m

Simba remagetsi rekupedzisira (ME)t) = simba reinetic (KUNA)

MEt = KE = ½ mv2

Nheyo yekuchengetedza simba remakanika inoti yekutanga michina simba = simba rekupedzisira remakanika:

MEo = INIt

80 m = ½ mv2

80 = ½ v2

160 = v2

v = √160 = √(16)(10) = 4√10 m/s

2. Chinhu chinorema 1-kg chinotsvedza pasi nemamita masere. Tsvaga simba rekinetic mushure mekunge chinhu chacho chafamba nemamita mashanu… Kukurumidza kunokonzerwa negiravhiti g = 10 m/s2

Kushandiswa kwekuchengetedza simba remakanika pakufamba kwendege yakatsamira 2Zvinozivikanwa:

Huremu (m) = 0.2 kg

d = mamita zana nemakumi mashanu

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

Wanted : kinetic energy (KE)

Solution:

pasina 30o = h / d

0.5 = awa / 5

h = (0.5)(5) = 2.5 mamita

Kuchinja kwehurefu hwechinhu chacho mamita 2.5.

Simba rekutanga remakanika (ME)o) = simba rekukwevera pasi (PE)

MEo = PE = mgh = (1)(10)(2.5) = 25 Joules

Simba rekupedzisira remakanika (ME)t) = simba rekinetic (KE)

MEt = KU

Musimboti we kuchengetedzwa kwesimba remakanika inoti simba rekutanga remakanika = simba rekupedzisira remakanika:

MEo = INIt

25 = KE

Kinetic simba = 25 maJoules.

[wpdm_package id='1170′]

  1. Basa rinoitwa nechisimba matambudziko uye mhinduro
  2. Matambudziko esimba rekushanda nemhinduro
  3. Matambudziko nemhinduro dzesimba rebasa-remakanika
  4. Matambudziko esimba rinogona kukweva simba uye mhinduro dzaro
  5. Simba rinogona kuwanikwa mumatambudziko e elastic spring uye mhinduro dzaro
  6. Matambudziko emagetsi nemhinduro
  7. Kushandiswa kwekuchengetedza simba remakanika kuti kufamba kwemahara kuwa
  8. Kushandiswa kwekuchengetedza simba remakanika pakufamba kumusoro nekudzika mukufamba kwemahara kwemvura
  9. Kushandiswa kwekuchengetedza simba remakanika kuti rifambe pamusoro wakakombama
  10. Kushandiswa kwekuchengetedza simba remakanika pakufamba mundege yakatsamira
  11. Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezviratidziro

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Kushandiswa kwekuchengetedza simba remakanika pakufamba panzvimbo dzakakombama - matambudziko nemhinduro

1. Bhokisi re 1-kg rinotsvedza pasi pamusoro wakatsetseka wakakombama. Sarudza kuti simba reinetic uye kumhanya kwebhuroko panzvimbo yakaderera. Kuwedzera nekuda kwegiravhiti iri 10 m/s2.

Kushandiswa kwekuchengetedza simba remakanika kuti rifambe pamusoro pekona 1Zvinozivikanwa:

Misa (m) = 1 kg

Kuchinja kwehurefu (h) = 5 m

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

Kuda: Kinetic energy (KE) uye velocity zve block.

Solution:

(a) Simba reKinetic

The kwokutanga michina simba = simba regiravhiti

MEo = PE = mgh = (1)(10)(5) = 50 Joules

Simba rekupedzisira remakanika = simba rekinetic

MEt = KE = ½ mvt2

Nheyo ye kuchengetedzwa kwesimba remakanika inoti simba rekutanga remakanika = simba rekupedzisira remakanika:

MEo = INIt

PE = KE

50 = KE

Kinetic simba (KE) = 50 Joules.

(b) Kumhanya kweBlock

Nheyo yekuchengetedza simba remakanika:

Simba rekutanga remakanika (ME)o) = simba rekupedzisira remakanika (ME)t)

Simba regiravhiti (PE) = simba rekinetic (KE)

50 = ½ mv2

2(50) / m = v2

100 / 1 = v2

100 = v2

v = √100

v = 10 m/s

2. Chinhu chinorema 2 kg chinotsvedza pasi pasina kukweshana. Chii chinonzi kinetic energy uye kumhanya kwechinhu chacho pamamita maviri kubva pasi? Kukurumidza kunokonzerwa negravity i10 m/s2

Kushandiswa kwekuchengetedza simba remakanika kuti rifambe pamusoro pekona 2Zvinozivikanwa:

Huremu (m) = 2 kg

Kuchinja kwehurefu (h) = 10 – 2 = 8 m

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

Wanted : kinetic energy (KE) uye velocity (v) pamamita maviri pamusoro penyika.

Solution:

(a) Simba reKinetic riri pamamita maviri kubva pasi

Simba rekutanga remakanika = simba regiravhiti

MEo = PE = mgh = (2)(10)(8) = 160 Joules

Simba rekupedzisira remakanika = simba rekinetic

MEt = KE = ½ mvt2

Nheyo yekuchengetedza simba remakanika inoti simba rekutanga remakanika = simba rekupedzisira remakanika:

MEo = INIt

PE = KE

160 = KE

Simba reKinetic (KE) riri pamamita maviri pamusoro pevhu i160 Joules.

(b) Kumhanya kwechinhu panzvimbo yakaderera

Nheyo yekuchengetedza simba remakanika:

Simba rekutanga remakanika (ME)o) = simba rekupedzisira remakanika (EM)t)

Simba regiravhiti (PE) = simba rekinetic (KE)

160 = ½ mv2

160 = ½ (2) v2

160 = v2

v = √160 = √(16)(10) = 4√10 m/s

[wpdm_package id='1167′]

  1. Basa rinoitwa nechisimba matambudziko uye mhinduro
  2. Matambudziko esimba rekushanda nemhinduro
  3. Matambudziko nemhinduro dzesimba rebasa-remakanika
  4. Matambudziko esimba rinogona kukweva simba uye mhinduro dzaro
  5. Simba rinogona kuwanikwa mumatambudziko e elastic spring uye mhinduro dzaro
  6. Matambudziko emagetsi nemhinduro
  7. Kushandiswa kwekuchengetedza simba remakanika kuti kufamba kwemahara kuwa
  8. Kushandiswa kwekuchengetedza simba remakanika pakufamba kumusoro nekudzika mukufamba kwemahara kwemvura
  9. Kushandiswa kwekuchengetedza simba remakanika kuti rifambe pamusoro wakakombama
  10. Kushandiswa kwekuchengetedza simba remakanika pakufamba mundege yakatsamira
  11. Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezviratidziro

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Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezviratidziro - matambudziko nemhinduro

1. Nhabvu inokandwa inobva pasi nekona θ = 30o nekumhanya kwekutanga kwe10 m/s. Mabhora uremu = 0.1 makirogiramu. Kuwedzera nekuda kwegiravhiti is 10 m / s2. Sarudza (a) Iyo simba regiravhiti panzvimbo yakakwirira (b) Nzvimbo yepamusoro kana kuti kukwirira kwakanyanya

Zvinozivikanwa:

Huremu (m) = 0.1 kg

Kumhanya kwekutanga (v)o) = 10 m/s

Angle = 30o

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

Solution:

(a) Simba regiravhiti

Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezvibodzwa - matambudziko nemhinduro 1

Verenga chikamu chakarara (v)ox) uye chikamu chakamira (voy) yekumhanya kwekutanga.

Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezvibodzwa - matambudziko nemhinduro 2Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezvibodzwa - matambudziko nemhinduro 2vox =vo cos θ = (10)(cos 30o) = (10)(0.5√3) = 5√3 m/s

voy =vo chivi θ = (10)(chivi 30o) = (10)(0.5) = 5 m/s

Simba rekutanga remakanika

The kwokutanga michina simba (Inio) = simba reinetic (KUNA)

MEo = KE = ½ mvo2 = ½ (0.1)(10)2 = ½ (0.1)(100) = ½ (10) = 5 Joules

Simba rekupedzisira remakanika

Kinetic simba panzvimbo yepamusoro:

KE = ½ mvox2 = ½ (0.1)(5√3)2 = ½ (0.1)((25)(3)) = ½ (0.1)(75) = 3.75 Joules

Nheyo yekuchengetedza simba remakanika

Simba rekutanga remakanika (ME)o) = simba rekupedzisira remakanika (ME)t)

KE = PE + KE

5 = EP + 3.75

PE = 5 – 3.75 = 1.25 Joule

Simba regiravhiti rinogona kukweva panzvimbo yakakwirira i1.25 Joules.

(b) Nzvimbo yepamusoro-soro kana kuti kukwirira kwakanyanya

PE = mgh

1.25 = (0.1)(10) h

1.25 = awa

Kureba kwakanyanya i1.25 metres.

2. Bhora re 0.1-kg rakatambanudzwa rakatwasuka nespeed yekutanga vo = 10 m/s kubva pachivako chine kukwirira kwemamita gumi. Kukurumidza kwesimba nekuda kwegiravhiti ndeye 10 m/s2Tsvaga simba rebhora rinofamba-famba kana richirova pasi.

Zvinozivikanwa:

Huremu (m) = 0.1 kg

Kumhanya kwekutanga (v)o) = 10 m/s

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

Kuchinja kwehurefu (h) = 10 – 2 = 8 m

Kuda: simba rekinetic pamamita maviri pamusoro pevhu

Solution:

Simba regiravhiti (PE) = mgh = (0.1)(10)(10) = 10 Joules

Simba rekutanga rekinetic (KE) = ½ mvo2 = ½ (0.1)(10)2 = ½ (0.1)(100) = ½ (10) = 5 Joules

Simba rekupedzisira rekinetic = simba rekutanga regiravhiti + simba rekutanga rekinetic = 10 + 5 = 15 Joules

[wpdm_package id='1173′]

  1. Basa rinoitwa nechisimba matambudziko uye mhinduro
  2. Matambudziko esimba rekushanda nemhinduro
  3. Matambudziko nemhinduro dzesimba rebasa-remakanika
  4. Matambudziko esimba rinogona kukweva simba uye mhinduro dzaro
  5. Simba rinogona kuwanikwa mumatambudziko e elastic spring uye mhinduro dzaro
  6. Matambudziko emagetsi nemhinduro
  7. Kushandiswa kwekuchengetedza simba remakanika kuti kufamba kwemahara kuwa
  8. Kushandiswa kwekuchengetedza simba remakanika pakufamba kumusoro nekudzika mukufamba kwemahara kwemvura
  9. Kushandiswa kwekuchengetedza simba remakanika kuti rifambe pamusoro wakakombama
  10. Kushandiswa kwekuchengetedza simba remakanika pakufamba mundege yakatsamira
  11. Kushandiswa kwekuchengetedza simba remakanika pakufamba kwezviratidziro

Read more