Kushandiswa kwemutemo waNewton wekufamba muelevator - matambudziko nemhinduro

1. Munhu anorema 50 kg ari muelevator. Kuwedzera nekuda kwegiravhiti = 10 m/s²Sarudza kuti simba remazuva ose zvakaiswa pachinhu chiri pedyo neelevator, kana:

(a) lifti iri pazororo

(b) elevator iri kufamba ichidzika pasi pa kumhanya kunogara kuripo

(c) elevator inokwidzwa kumusoro pa kukurumidza nguva dzose 5 /s²

(d) elevator inodzikira pasi ne5 m/s isingachinji²

(e) elevator iri mu free-fall

mhinduro

Zvinozivikanwa:

Zvemunhu uremu (m) = 50 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²

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

Kuda: Simba rakajairika (N)

Solution:

(a) lifti iri pazororo

Elevator iri panzvimbo yakanyarara saka hapana kumhanyisa (a = 0)

Tinosarudza nzira yekuenda kumusoro nenzira yakanaka uye nzira yekuenda pasi nenzira yakaipa.

ΣF = amai

N – w = 0

N = w

N = 500 Newton

(b) elevator iri kufamba ichidzika pasi nespeed isingachinji

Kumhanya kunogara kuripo saka hapana kukurumidza (a = 0)

Tinosarudza nzira yekuenda kumusoro nenzira yakanaka uye nzira yekuenda pasi nenzira yakaipa.

ΣF = amai

N – w = 0

N = w

N = 500 Newton

(c) elevator inokwidzwa kumusoro ne5 m/s isingachinji²

Kutungamira kwekumhanyisa kuri kumusoro, saka tinosarudza nzira yakanaka seyakakwira.

N – w = ma

N = w + ma

N = 500 + (50)(5)

N = 500 + 250

N = 750 Newton

Munhu wacho anonzwa pasi richisunda zvakanyanya kupfuura kana elevator yakamira kana kuti ichifamba nekumhanya kwakasimba.

Kana munhu akamira pachikero, chikero chinoverenga hukuru hwesimba rinodzika rinoitwa nemunhu ari pachikero. Nemutemo wechitatu waNewton, izvi zvakaenzana nehukuru hwesimba rinokwira rinoitwa nechikero pamunhu.

(d) elevator inodzikira pasi ne5 m/s isingachinji²

Kutungamira kwekumhanya kuri pasi, saka tinosarudza nzira yakanaka sekudzikira.

w – N = ma

N = w – ma

N = 500 – (50)(5)

N = 500 – 250

N = 250 Newton

Huremu hwemunhu i250 N, hushoma pane huremu chaihwo w = 500 N.

(e) elevator panguva yekudonha kwakasununguka

Kudonha kwakasununguka zvinoreva kuti kukwira kweelevator kwakafanana nekukwira kwesimba rinokwevera pasi. Hukuru hwekukwira kwesimba rinokwevera pasi i9,8 m/s², kwainoenda pasi ichienda pakati peNyika. Kumhanya kwacho kunowedzera mumutsara nenguva ne9,8 m/s panguva yesekondi.

Kutungamira kwekumhanya kuri pasi, saka tinosarudza nzira yakanaka sekudzikira.

w – N = ma

N = w – ma

N = 500 – (50)(10)

N = 500 – 500

N = 0

2. Tarisa kusimba kwetambo yeelevator. Huremu hweelevator = 2000 kg.

(a) lifti iri pazororo

(B) elevator yakakurumidza kudzika pasi ne5 m/s²

(C) Elevator yakakwira kumusoro ne5 m/s isingachinji²

(d) elevator pakudonha kwakasununguka

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²

mhinduro

Zvinozivikanwa:

Huremu hweelevator (m) = 2000 kg

Kukurumidza kwegiravhiti (g) = 10 m/s²

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

Zvaidiwa: Simba rekumanikidza (T)

Solution:

(a) lifti iri pazororo

chikepe iri pakuzorora saka hapana kukurumidza (a = 0)

Tinosarudza nzira yekumusoro senzira yakanaka uye nzira yekudzikira senzira isina kunaka.

ΣF = amai

T – w = 0

T = w

T = 20,000 Newton

Kushushikana kwetambo (T) = huremu hweelevator (w) = 20,000 Newtons

(b) elevator inodzikira pasi ne5 m/s isingachinji²

Kutungamira kwekumhanya kuri pasi, saka tinosarudza nzira yakanaka sekudzikira.

w – T = ma

T = w – ma

T = 20,000 – (2000)(5)

T = 20,000 - 10,000

T = 10,000 Newton

c) elevator inokwidzwa kumusoro ne5 m/s isingachinji²

Kutungamira kwekumhanya kuri pasi, saka tinosarudza nzira yakanaka seyakakwira.

T – w = ma

T = w + ma

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

T = 20,000 + 10,000

T = 30,000 Newton

(d) elevator pakudonha kwakasununguka

Kutungamira kwekumhanya kuri pasi, saka tinosarudza nzira yakanaka sekudzikira.

w – T = ma

T = w – ma

T = 20,000 – (2000)(10)

T = 20,000 - 20,000

T = 0

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