Chitsanzo cha lamulo la Hooke

Zitsanzo 9 za Mafunso a Malamulo a Hooke

1. Chithunzi cha ubale pakati pa mphamvu (F) ndi kutalika kwa (x) chikuwonetsedwa pachithunzi chili pansipa. Chokhazikika cha masika chozikidwa pa graph ndi…
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Fomula Lamulo la Hooke :
k = F / x
Zambiri:
F = mphamvu (gawo lapadziko lonse ndi Newton, chidule N)
k = nthawi zonse ya masika (gawo lapadziko lonse lapansi ndi Newton/mita, chidule N/m)
x = kuwonjezeka kwa kutalika (gawo lapadziko lonse ndi mamita, chidule m)
 
Chokhazikika cha masika kutengera graph yomwe ili pamwambapa ndi:
k = 10 / 0,02 = 20 / 0,04
k = 500 N/m

2. Pa kuyesa kudziwa chosasintha cha kasupe Deta yomwe yapezeka ili monga momwe zilili patebulo ili pansipa. Chokhazikika cha masika kutengera deta yomwe ili patebulo ndi…

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Chokhazikika cha masika kutengera deta yomwe ili patebulo ndi:
k = F / x
k = 5 / 0,01 = 10 / 0,02 = 15 / 0,03 = 20 / 0,04
k = 500 N/m

3. Ma Springs A ndi B motsatana ali ndi kutalika koyambirira kwa 60 cm ndi 90 cm motsatana ndipo amakokedwa ndi mphamvu yomweyo. Spring constant ya A ndi 100 N/m ndipo spring constant ya B ndi 200 N/m. Chiŵerengero cha kuwonjezeka kwa kutalika kwa spring A ndi spring B ndi...
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Amadziwika kuti:
Chokhazikika cha masika A (k)_A) = 100 N/m
Chokhazikika cha masika B (k)_B) = 200 N/m
Mphamvu yomwe imakoka kasupe A (F)_A) = F
Mphamvu yomwe imakoka kasupe B (F)_B) = F
Kufunsidwa: chiŵerengero cha kuwonjezeka kwa kutalika kwa kasupe A ndi kasupe B (x_A :x ndi_B)
Yankho:
Fomula yowonjezera kutalika kwa kasupe :
x = F / k
Kuwonjezeka kwa kutalika kwa kasupe A:
x_A =F_A / k_A = F / 100
Kuwonjezeka kwa kutalika kwa kasupe B:
x_B =F_B / k_B = F / 200
Kuyerekeza kwa kutalika kwa kasupe A ndi kasupe B :
x_A :x ndi_B
F/100 : F/200
1/100: 1/200
1/1: 1/2
2: 1
Dziwani: kutalika koyambirira kwa kasupe sikunaphatikizidwe mu kuwerengera. x mu fomula ya lamulo la Hooke ndi kuwonjezeka kwa kutalika, osati kutalika koyambirira.

4. Waya uli ndi kutalika koyambirira kwa masentimita 20. Ukakokedwa ndi gaya Ma Newton 10, waya umawonjezeka ndi 2 cm kutalika. Kuti kutalika kukwere kukhala 6 cm, kukula kwa mphamvu yokoka ndi...
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Amadziwika kuti:
Mphamvu yokoka (F) = 10 Newton
Kuwonjezeka kwa kutalika kwa waya (x) = 2 cm = 0,02 mamita
Kufunsidwa: kukula kwa mphamvu yokoka (F) ngati waya ukuwonjezeka kutalika ndi 6 cm kapena 0,06 metres.
Yankho:
Waya wosasintha :
k = F / x
k = 10 / 0,02 = 500 N/m
Kukula kwa mphamvu yokoka F ngati kutalika kwa waya kukuwonjezeka ndi mamita 0,06 :
F = kx
F = (500)(0,06) = 30 Newtons

5. Chithunzi chomwe chili pansipa chikuwonetsa ubale pakati pa kusintha kwa katundu (ΔF) ndi kuwonjezeka kwa kutalika (ΔX), graph yomwe ikuwonetsa mtengo wocheperako wa chokhazikika chotanuka...
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Fomula ya lamulo la Hooke
k = F / Δx
Zambiri:
Δx = kuwonjezeka kwa kutalika, F = mphamvu, k = chosasintha chotanuka
Kukhazikika kosalekeza
k_A = F / Δx = 1 / 8 = 0,125
k_B = F / Δx = 8 / 3 = 2,7
k_C = F / Δx = 6 / 6 = 1
k_D = F / Δx = 3 / 5 = 0,6
k_E = F / Δx = 2 / 4 = 0,5
Yankho lolondola ndi A.

6. Yang'anani chithunzi cha ubale pakati pa gaya (F) ku kukwera kwa kutalika kotsatira (ΔX)! Ndi iti yomwe ili ndi chokhazikika chachikulu kwambiri chotanuka?
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Kukhazikika kosalekeza
k_A = F / Δx = 50 / 10 = 5
k_B = F / Δx = 50 / 0,1 = 500
k_C = F / Δx = 5 / 0,1 = 50
k_D = F / Δx = 500 / 0,1 = 5000
k_E = F / Δx = 500 / 10 = 50
Yankho lolondola ndi D.

7. Kasupe akapatsidwa mphamvu ya magalamu 160 amawonjezeka kutalika ndi masentimita 4. Akakonzedwa masipeyala atatu ofanana monga momwe zasonyezedwera, kuwonjezeka konse kwa kutalika kwa masipeyala kumakhala...

A. 2 cm

B. 3 cm

C. 6 cm

D. 7 cm

E. 10 cm

Zokambirana

Amadziwika kuti:

Kuwonjezeka kwa kutalika (Δx) = 4 cm = 0,04 mamita

Kulemera (m) = magalamu 160 = 0,16 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Kulemera (w) = mg = (0,16(10) = 1,6 Newtons

Anafunsa kuti: Kuwonjezeka kwa kutalika konse kwa masika ((Δx) ngati yakonzedwa ngati chithunzi

Yankho:

Choyamba, werengani kuchuluka kwa elastic constant ya kasupe pogwiritsa ntchito njira ya Hooke's law:

k = w / Δx = 1,6 / 0,04 = 40 N/m

Ma spring atatuwa ndi ofanana kotero ali ndi chizindikiro chofanana (k), chomwe ndi 40 N/m.

Werengerani chokhazikika chosinthira:

Kasupe 2 (k₂) ndi kasupe 3 (k₃) yokonzedwa motsatizana. Chofanana ndi masika ndi:

k₂₃ = k₂ +k₃ = 40 + 40 = 80 N/m

Kasupe 1 (k₁) ndi kasupe wolowa m'malo (k₂₃) yokonzedwa motsatizana. Chofanana ndi masika ndi:

1/k = 1/k₁ + 1/k₂₃ = 1/40 + 1/80 = 2/80 + 1/80 = 3/80

k = 80/3

Werengerani kutalika konse kwa kasupe pogwiritsa ntchito njira ya Hooke's law:

Δx = w / k = 1,6 : 80/3 = (1,6)(3/80) = 4,8/80 = 0,06 mamita = 6 cm

Yankho lolondola ndi C.

8. Ma stumpe atatu ofanana ndiKonzani monga momwe zasonyezedwera pachithunzichi. Ngati kasupe wokhazikika ndi k₁ = k₂ = k₃ = 300 Nm^-1 ndiye kuti dongosolo la masika lidzakumana ndi kutalika kwa... (g = 10 ms^-2).

A. 0,1 m

B. 0,2 m

C. 0,4 m

D. 0,5 m

E. 0,8 m

Zokambirana

Amadziwika kuti:

Chokhazikika cha masika k₁ = k₂ = k₃ = 300 Nm^-1

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 ms^-2

Kulemera kwa katundu (m) = 2 kg

Kulemera kwa katundu (w) = mg = (2)(10) = 20 Newton

Anafunsa kuti: Kuwonjezeka kwa kutalika kwa msonkhano wa masika ((Δx)

Yankho:

Werengerani chokhazikika chosinthira:

Kasupe 1 (k₁) ndi kasupe 2 (k₂) yokonzedwa motsatizana. Chofanana ndi masika ndi:

k₁₂ = k₁ +k₂ = 300 + 300 = 600 N/m

Kasupe 3 (k₃) ndi kasupe wolowa m'malo (k₁₂) yokonzedwa motsatizana. Chofanana ndi masika ndi:

1/k = 1/k₃ + 1/k₁₂ = 1/300 + 1/600 = 2/600 + 1/600 = 3/600

k = 600/3 = 200 N / m

Werengerani kutalika konse kwa kasupe pogwiritsa ntchito njira ya Hooke's law:

Δx = w / k = 20/200 = 2/20 = 1/10 = 0,1 mamita

Yankho lolondola ndi A.

9. Masiponji atatu akonzedwa monga momwe zasonyezedwera pachithunzi chotsatirachi. Ngati siponji yokhazikika k = 50 Nm^-1 ndipo katundu wa magalamu 400 amapachikidwa pa cholumikizira cha kasupe, ndiye kuti kutalika kwa cholumikizira cha kasupe kumawonjezeka...

A. 2 cm

B. 4 cm

C. 8 cm

D. 16 cm

E. 50 cm

Zokambirana

Amadziwika kuti:

Chokhazikika cha masika 1 (k)₁) = k = 50 Nm^-1

Chokhazikika cha masika 2 (k)₂) = k = 50 Nm^-1

Chokhazikika cha masika 3 (k)₃) = 2k = 2 (50 Nm^-1) = 100 Nm^-1

Kulemera kwa katundu (m) = magalamu 400 = 0,4 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Kulemera kwa katundu (w) = mg = (0,4)(10) = 4 Newton

Anafunsa kuti: Kuwonjezeka kwa kutalika kwa msonkhano wa masika ((Δx)

Yankho:

Werengerani chokhazikika chosinthira:

Kasupe 1 (k₁) ndi kasupe 2 (k₂) yokonzedwa motsatizana. Chofanana ndi masika ndi:

k₁₂ = k₁ +k₂ = 50 + 50 = 100 N/m

Kasupe 3 (k₃) ndi kasupe wolowa m'malo (k₁₂) yokonzedwa motsatizana. Chofanana ndi masika ndi:

1/k = 1/k₃ + 1/k₁₂ = 1/100 + 1/100 = 2/100

k = 100/2 = 50 N/m

Werengerani kutalika kwa nthawi yopangira masika pogwiritsa ntchito njira ya Hooke's law:

Δx = w / k = 4 / 50 = = mamita 0,08 = 8 cm

Yankho lolondola ndi C.

Gwero la funso:

Mafunso a National Examination Physics a Senior High School/Vocational High School