1. Mmadụ na-adọkpụ blọk 2 m n'elu elu kwụ ọtọ site na ike na-adịgide adịgide F = 20 N. Chọpụta ọrụ e ji ike F rụọ na blọk ahụ.

A maara:
Ike (F) = 20 N
Mbugharị (s) = 2 m
Nkuku (θ ) = 0
Achọtara : Ọrụ (W)
Ngwọta:
W = F d cos θ = (20) (2) (cos 0) = (20) (2) (1) = 40 Joules
[irp]
2. Ike F = 10 N na-arụ ọrụ n'ime igbe 1 m n'akụkụ elu kwụ ọtọ. Ike ahụ na-arụ ọrụ n'akụkụ 30 o dịka egosiri na eserese dị n'okpuru. Chọpụta ọrụ e ji ike F rụọ!

A maara :
Ike (F) = 10 N
Ike kwụ ọtọ (F x ) = F cos 30 o = (10)(0.5√3) = 5√3 N
Mbugharị (d) = 1 mita
Achọrọ m : Ọrụ (W)?
Ngwọta :
W = F x d = (5√3)(1) = 5√3 Joules
3. Ahụ mmadụ na-ada site n'izu ike, site n'ịdị elu nke mita 2. Ọ bụrụ na ọsọ ọsọ nke ndọda n'ihi ike ndọda bụ 10 m/s 2 , chọpụta ọrụ e ji ike ndọda rụọ!
A maara:
Ibu ihe (m) = 1 kg
Ogologo (h) = 2 m
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Achọtara: Ọrụ e ji ike ndọda (W) rụọ
Ngwọta:
W = F d = wh = mgh
W = (1)(10)(2) = Joule 20
W = ọrụ, F = ike, d = anya, w = ibu , h = elu, m = oke, g = osooso n'ihi ike ndọda.
[irp]
4. A na-ejikọ ihe dị kilogram 1 n'ime mmiri ka o wee dị ogologo ruo sentimita 2. Ọ bụrụ na ọsọ ọsọ n'ihi ike ndọda bụ mita 10/s 2 , chọpụta (a) ọrụ nke ike mmiri (b) nke mmiri na-arụ n'elu ihe
A maara:
Ibu (m) = 1 kg
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ogologo (x) = 2 cm = 0.02 m
Ibu (w) = mg = (1 kg)(10 m/s 2 ) = 10 kg m/s 2 = 10 N
Achọtara: Oge opupu ihe ubi na-agbanwe agbanwe na ọrụ spring force rụrụ
Ngwọta:
(a) Oge opupu ihe ubi na-agbanweghi agbanwe
Usoro iwu Hooke :
F = k x.
k = F / x = w / x = mg / x
k = (1)(10) / 0.02 = 10 / 0.02
k = 500 N/m
(b) ọrụ nke spring force rụrụ
W = – ½ kx 2
W = – ½ (500)(0.02) 2
W = – (250)(0.0004)
W = -0.1 Joule
Akara mwepu na-egosi na ntụziaka nke ike mmiri dị iche na ntụziaka nke mbugharị ihe.
[irp]
5. Ike F = 10 N na-eme ka igbe dị ngwa karịa ebe a na-agagharị ruo mita 2. Ala ahụ siri ike ma na-eme ka ike esemokwu dị na ya pụta ìhè . Kw = 2 N. Chọpụta ọrụ netwọk e mere na igbe ahụ.

A maara:
Ike (F) = 10 N
Ike nke esemokwu kinetic (F k ) = 2 N
Mbugharị (d) = 2 m
Achọrọ: Netwọk ( netwọk W )
Ngwọta:
Ọrụ nke ike F rụrụ:
W 1 = F d cos 0 = (10)(2)(1) = 20 Joules
Ọrụ a na-arụ site n'ike nke esemokwu kinetic (F k ):
W 2 = F k d = (2)(2)(cos 180) = (2)(2)(-1) = -4 Joules
Netwọk:
W net = W 1 – W 2
Netw = 20 – 4
Net W = Joule 16
6. Gịnị bụ ọrụ nke ike F na-arụ na blọk ahụ?
A maara:
Ike (F) = 12 Newton
Mbugharị (d) = mita 4
Achọtara: Ọrụ (W)
Ngwọta:
W = F d = (12 Newton)(mita 4) = 48 N m = 48 Joules
[irp]
7. Ike nke 200 N na-akwali otu ngọngọ. Mgbanwe nke blọk ahụ bụ mita abụọ. Gịnị ka a na-arụ n'blọk ahụ?
A maara:
Ike (F) = 200 Newton
Mbugharị (d) = mita 2
Achọtara: Ọrụ (W)
Ngwọta:
Ọrụ:
W = F s
W = (Newton 200)(mita 2)
W = 400 N m
W = Joule 400
8. Onye ọkwọ ụgbọala nke ụgbọala sedan chọrọ ịdọba ụgbọala ya kpọmkwem mita 0.5 n'ihu ụgbọala ahụ nke dị mita 10 site n'ebe ụgbọala sedan dị. Gịnị ka ụgbọala sedan chọrọ?
A maara:
Mbugharị (d) = mita 10 – mita 0.5 = mita 9.5
Ike (F) = 50 Newton
Achọtara: Ọrụ (W)
Ngwọta:
W = F s
W = (Newton 50)(mita 9.5)
W = 475 N m
W = Joule 475
[irp]
9.

Tom na Jerry rụrụ ọrụ ka ụgbọala ahụ wee nwee ike ịga ije ruo mita anọ. Ike Tom na Jerry na-arụ bụ 50 N na 70 N.
A maara:
Mbugharị (s) = mita 4
Ike net (F) = 50 Newtons + 70 Newtons = 120 Newtons
Achọtara: Ọrụ (W)
Ngwọta:
W = F s = (120 Newton)(mita 4) = 480 N m = 480 Joules
10. Onye ọkwọ ụgbọala na-adọkpụ ụgbọala ka ụgbọala ahụ wee ruo 1000 cm. Gịnị ka a na-arụ n'ụgbọala ahụ?
A maara:
Ike (F) = 250 Newton
Mbugharị = 1000 cm = 1000/100 mita = mita 10
Achọtara: Ọrụ (W)
Ngwọta:
W = F s = (250 Newton)(mita 10) = 2500 N m = 2500 Joules
11. Dabere na eserese dị n'okpuru, ọ bụrụ na ọrụ e ji ike net rụọ bụ joules 375, chọpụta ebe ihe si apụta.

A maara:
Ọrụ (W) = Joule 375
Ike netwọk ( ΣF) = 40 N + 10 N - 25 N = 25 Newton ( n'aka nri )
Achọtara: Mbugharị ( d )
Ngwọta:
Usoro ọrụ:
W = F s
Mgbanwe nke ihe:
d = W / F = 375 Joules / 25 Newtons
d = mita 15 s
12. Ihe ndị dị n'okpuru ebe a na-anaghị arụ ọrụ bụ …
A. Tụgharịa ihe ruo mita iri
B. Pịa ụgbọala ruo mgbe ọ ga-agagharị
C. Pịa mgbidi
D. Adọtara m igbe
Ngwọta:
Usoro ọrụ:
W = ΣF s
W = ọrụ , F = ike , d = mwepụ
Dabere na usoro dị n'elu, a na-arụ ọrụ site n'ike ma enwere mgbanwe.
Azịza ya ziri ezi bụ C.
1 3. Andrew na-akwali ihe nwere ike nke 20 N ka ihe ahụ wee na-agagharị n'usoro okirikiri na radius nke mita 7. Chọpụta ọrụ Andrew rụrụ maka mmegharị okirikiri ugboro abụọ.
A. 0 Joule
B. 1400 Joule
C. 1540 Joule
D. 1760 Joule
Ngwọta:
Ọ bụrụ na onye ahụ akwaa oche nkwagharị ahụ ugboro abụọ n'imegharị okirikiri, onye ahụ na oche nkwagharị ahụ ga-alaghachi n'ọnọdụ mbụ ya, yabụ mgbanwe nke onye ahụ agaghị adị.
Mbugharị = 0 yabụ ọrụ = 0.
Azịza ya bụ A.
14. Mmadụ na-akwali ihe n'ala site n'ike nke 350 N. Ala ahụ na-eme ka ike esemokwu nke 70 N. Chọpụta ọrụ e ji ike mee iji kwaga ihe ahụ ruo mita isii.
A. 45 J
B. 72 J
C. 1680 J
D. 2580 J
A maara:
Ike nke push (F) = 350 Newtons
Ike esemokwu (F fric ) = Newtons 70
Mgbanwe nke ihe (s) = mita 6
Achọtara: Ọrụ (W)
Ngwọta:
E nwere ike abụọ na-arụ ọrụ n'ihe ahụ, ike mkpali (F) na ike esemokwu (F fric ). Ike mkpali ahụ nwere otu ụzọ ahụ dị ka mgbanwe nke ihe ahụ n'ihi na ike mkpali ahụ na-arụ ọrụ dị mma. N'aka nke ọzọ, ike esemokwu ahụ nwere ụzọ dị iche na mgbanwe nke ihe ahụ ka ike esemokwu ahụ wee rụọ ọrụ na-adịghị mma.
Ọrụ a na-arụ site na ike push:
W = F d = (350 Newton)(mita 6) = 2100 Newton-mita = 2100 Joules
Ọrụ nke ike esemokwu na-arụ:
W = – (F fric )(s) = – (70 Newton)(mita 6) = – 420 Newton-mita = – 420 Joules
Netwọk ahụ:
Net W = Joules 2100 – Joules 420
W net = 1680 Joule
Azịza ya ziri ezi bụ C.
15. Ike kwụ ọtọ nke Newton iri na anọ na-akwali ihe n'ala siri ike nke nwere ike esemokwu nke Newton iri. Chọpụta ọrụ netwọk nke ịkwaga ihe ahụ ruo mita asatọ.
A. 0.5 Joule
B. 3 Joule
C. 32 Joule
D. 192 Joule
A maara:
Ike nrụgide (F) = 14 Newton
Ike esemokwu (F fric ) = Newtons 10
Mbugharị nke ihe (d) = mita 8
Achọtara: Ọrụ (W)
Ngwọta:
E nwere ike abụọ na-arụ ọrụ n'ihe, ike push (F) na ike esemokwu (F fric ).
Ike nrụgide ahụ nwere otu ụzọ ahụ dị ka mgbanwe nke ihe ahụ ka ike nrụgide ahụ wee rụọ ọrụ dị mma. N'aka nke ọzọ, ike esemokwu ahụ nwere ụzọ dị iche dị ka mgbanwe nke ihe ahụ ka ike esemokwu ahụ wee rụọ ọrụ na-adịghị mma.
Ọrụ a na-arụ site na ike push:
W = F s = (14 Newton)(mita 8) = mita 112 Newton = 112 Joules
Ọrụ nke ike esemokwu na-arụ:
W = – (F fric )(s) = – (10 Newton)(mita 8) = – 80 Newton mita = – 80 Joules
Netwọk ahụ:
Net W = Joules 112 – Joules 80
W net = 32 Joule
Azịza ya ziri ezi bụ C.
16. Chọpụta ọrụ netwọk dabere na eserese dị n'okpuru.
A. 360 Joule
B. 450 Joule
C. 600 Joule
D. 750 Joule
Ngwọta:
Ọrụ = Ike (F) x mwepụ (d)
Ọrụ = Mpaghara triangle 1 + Mpaghara rektangulu + Mpaghara triangle 2
Work = 1/2(40-0)(3-0) + (40-0)(9-3) + 1/2(40-0)(12-9)
Ọrụ = 1/2(40)(3) + (40)(6) + 1/2(40)(3)
Ọrụ = (20)(3) + 240 + (20)(3)
Ọrụ = 60 + 240 + 60
Ọrụ = Joule 360
Azịza ya bụ A.
17. A na - etinye otu osisi nke ogologo ya ruru sentimita iri isii n'ala kwụ ọtọ. Osisi ahụ kụrụ ya site na hama dị kilogram iri site n'ịdị elu ya ruru sentimita iri anọ n'elu osisi ahụ. Ọ bụrụ na ike iguzogide ala nkezi bụ 2 x 10 3 N na ọsọ ọsọ nke ike ndọda bụ 10 m/s 2 , mgbe ahụ osisi ahụ ga-abanye n'ime ala kpamkpam mgbe ọ kụsịrị.
A. 4
B. 16
C. 28
D. 30
A maara:
Ibu hama (m) = 10 kg
Ọsọ ọsọ nke ike ndọda (g) = 10 m/ s 2
Ibu hama (w) = mg = (10)(10) = 100 kg m/s 2
Mbugharị hama tupu ịkụ osisi ahụ (d) = 40 cm = 0.4 mita
Nguzogide nke osisi (F) = 2 x 10 3 N = 2000 N
Ogologo osisi = 60 cm = 0.6 mita
Achọọla: Osisi ahụ ga-abanye kpamkpam n'ala mgbe ọ kụrụ….
Ngwọta:
Ọrụ a na-arụ na hama ahụ mgbe hama ahụ rutere ruo mita 0.4 bụ:
W = F d = ws = (100 N)(0.4 m) = 40 Nm = 40 Joules
Ọrụ nke ike iguzogide ala rụrụ:
W = F d = (2000 N)(0.6 m) = 1200 Nm = 1200 Joules
Osisi ahụ ga-abanye kpamkpam n'ime ala mgbe ọ kụchara….
Joules 1200 / Joules 40 = 30
Azịza ya ziri ezi bụ D.
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- Ojiji nke nchekwa ike igwe maka mmegharị n'elu mgbagọ
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