Aiwatar da dokar motsi ta Newton a cikin lif - matsaloli da mafita

1. Mutum mai nauyin kilogiram 50 a cikin lif. Saurin nauyi saboda nauyi = 10 m/s ^2. Kayyade ƙarfin da lif ke amfani da shi akan abu, idan:

(a) lif ɗin yana hutawa

(b) lif ɗin yana tafiya ƙasa a kan gudu mai ɗorewa

(c) lif yana hanzarta hawa sama a cikin hanzari akai-akai 5 / s ²

(d) lif yana hanzarta sauka ƙasa a daidai lokacin da mita 5/s ke juyawa ²

(e) lif a cikin faɗuwar 'yanci

Magani

An sani:

Nauyin mutum (m) = 50 kg

Saurin gudu saboda nauyi (g) = 10 m/s ²

Nauyi (w) = mg = (50)(10) = 500 Newtons

Ana so: Ƙarfin da aka saba (N)

Magani:

(a) lif ɗin yana hutawa

Lif ɗin yana hutawa don haka babu hanzari (a = 0)

Mu kan zaɓi alkiblar sama a alkiblar kyau, yayin da muke zaɓar alkiblar ƙasa a alkiblar mara kyau.

Σ F = ma

N – w = 0

N = w

N = 500 Newton

(b) lif ɗin yana tafiya ƙasa a kan gudu mai ɗorewa

Saurin gudu mai ɗorewa don haka babu hanzari (a = 0)

Mu kan zaɓi alkiblar sama a alkiblar kyau, yayin da muke zaɓar alkiblar ƙasa a alkiblar mara kyau.

Σ F = ma

N – w = 0

N = w

N = 500 Newton

(c) lif yana hanzarta hawa sama a daidai lokacin da yake gudun mita 5/s ²

Alkiblar hanzarin tana sama, don haka muka zaɓi alkiblar da ta dace kamar sama.

N – w = ma

N = w + ma

N = 500 + (50)(5)

N = 500 + 250

N = 750 Newton

Mutumin yana jin ƙasan yana matsawa sama da ƙarfi fiye da lokacin da lif ɗin yake tsaye ko kuma yana motsi da gudu mai ɗorewa.

Idan mutum ya tsaya a kan sikelin, sikelin yana nuna girman ƙarfin ƙasa da mutumin da ke kan sikelin ke yi. Ta hanyar dokar Newton ta uku, wannan yana daidai da girman ƙarfin sama na yau da kullun da sikelin ke yi a kan mutum.

(d) lif yana hanzarta sauka ƙasa a daidai lokacin da mita 5/s ke juyawa ²

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – N = ma

N = w – ma

N = 500 – (50)(5)

N = 500 – 250

N = 250 Newton

Nauyin mutum shine N250, ƙasa da ainihin nauyin w = N500.

(e) lif a cikin faɗuwar 'yanci

Faɗuwa daga kan hanya yana nufin saurin lif ɗin yayi daidai da saurin da aka samu saboda nauyi. Girman saurin da aka samu sakamakon nauyi shine 9,8 m/s ² , alkiblarsa tana ƙasa zuwa tsakiyar Duniya. Saurin yana ƙaruwa a layi a cikin lokaci da 9,8 m/s a kowane daƙiƙa.

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – N = ma

N = w – ma

N = 500 – (50)(10)

N = 500 – 500

N = 0

[irp]

2. Ƙayyade matsin lamba a cikin kebul na lif. Nauyin lif = 2000 kg.

(a) lif ɗin yana hutawa

(b) lif yana hanzarta sauka ƙasa a daidai lokacin da mita 5/s ke juyawa ²

(c) lif yana hanzarta hawa sama a daidai lokacin da yake gudun mita 5/s ²

(d) lif a lokacin faɗuwar rana

Saurin gudu saboda nauyi (g) = 10 m/s ²

Magani

An sani:

Nauyin lif (m) = 2000 kg

Saurin nauyi (g) = 10 m/s ²

nauyi (w) = mg = (2000)(10) = 20,000 Newtons

Ana nema: Ƙarfin tashin hankali (T)

Magani:

(a) lif ɗin yana hutawa

lif yana hutawa don haka babu hanzari (a = 0)

Mu kan zaɓi alkiblar sama a matsayin alkibla mai kyau, yayin da muke zaɓar alkiblar ƙasa a matsayin alkibla mara kyau.

Σ F = ma

T – w = 0

T = w

T = 20,000 Newtons

Tashin hankali a cikin kebul (T) = nauyin lif (w) = 20,000 Newtons

(b) lif yana hanzarta sauka ƙasa a daidai lokacin da mita 5/s ke juyawa ²

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – T = ma

T = w – ma

T = 20,000 – (2000)(5)

T = 20,000 – 10,000

T = 10,000 Newtons

c) lif yana hanzarta hawa sama a daidai lokacin da yake gudun mita 5/s ²

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar sama.

T – w = ma

T = w + ma

T = 20,000 + (2000)(5)

T = 20,000 + 10,000

T = 30,000 Newtons

(d) lif a lokacin faɗuwar rana

Alkiblar hanzarin tana ƙasa, don haka muka zaɓi alkibla mai kyau kamar ƙasa.

w – T = ma

T = w – ma

T = 20,000 – (2000)(10)

T = 20,000 – 20,000

T = 0

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1. Nauyi da nauyi
2. ƙarfin al'ada
3. Dokar motsi ta biyu ta Newton
4. Ƙarfin gogayya
5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
6. Motsin jiki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
9. Motsi a cikin lif
10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
11. Jikuna biyu masu girman gudu iri ɗaya
12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
14. Motsi iri ɗaya a cikin da'irar kwance
15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya