Kushandiswa kwemutemo waNewton wekufamba muelevator - matambudziko nemhinduro

1. Munhu anorema 50 kg ari muelevator. Kukurumidza kunokonzerwa negiravhiti = 10 m/s ² . Tsvaga simba rakajairika rinoitwa pachinhu chiri muelevator, kana:

(a) lifti iri pazororo

(b) elevator iri kufamba ichidzika pasi nespeed isingachinji

(c) elevator inokwidziridzwa kumusoro nekumhanya kwakasimba 5 / s ²

(d) elevator inodzikira pasi ne 5 m/s ²

(e) elevator panguva yekudonha kwakasununguka

mhinduro

Zvinozivikanwa:

Huremu hwemunhu (m) = 50 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

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

Zvinodiwa: 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.

Σ F = ma

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.

Σ F = ma

N – w = 0

N = w

N = 500 Newton

(c) elevator inokwidzwa kumusoro ne5 m/s ²

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 ne 5 m/s ²

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/s ² , divi rayo riri pasi richienda pakati peNyika. Kumhanya kunowedzera mumutsara nenguva ne9,8 m/s mukati mesekondi yega yega.

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 inodzikira pasi ne5 m/s ²

(c) elevator inokwidzwa kumusoro ne5 m/s ²

(d) elevator pakudonha kwakasununguka

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

mhinduro

Zvinozivikanwa:

Huremu hweelevator (m) = 2000 kg

Kukurumidza kwegiravhiti (g) = 10 m/s ²

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

Zvinodiwa: Simba rekumanikidza (T)

Solution:

(a) lifti iri pazororo

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

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

Σ F = ma

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 ²

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 ne 5 m/s ²

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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