1. Mutum yana jan wani toshe mai tsawon mita 2 a saman kwance ta hanyar ƙarfin da ba ya canzawa F = 20 N. Ƙayyade aikin da aka yi da ƙarfi F yana aiki a kan toshe.
An sani:
Ƙarfi (F) = 20 N
Hijira (s) = mita 2
Kusur (θ)) = 0
Nema : Aiki (W)
Magani:
W = F d cos θ = (20)(2)(cos 0) = (20)(2)(1) = Joules 40
2. Ƙarfin F = 10 N yana aiki akan akwati mita 1 a saman kwance. Ƙarfin yana aiki a digiri 30o kusurwa kamar yadda aka nuna a cikin hoton da ke ƙasa. Kayyade aikin da aka yi da ƙarfi F!
An sani :
Ƙarfi (F) = 10 N
Ƙarfin kwance (F)x) = F cos 30o = (10)(0.5√3) = 5√3 N
Gudun Hijira (d) = mita 1
Nema : Aiki (W)?
Magani :
W = Fx d = (5√3)(1) = 5√3 Joule
3. Jiki ya faɗi cikin 'yanci daga hutawa, daga tsayin mita 2. Idan hanzari saboda nauyi shine 10 m/s2, ƙayyade aikin da aka yi ta hanyar ƙarfin nauyi!
An sani:
Abu na taro (m) = 1 kg
Tsawo (h) = mita 2
Saurin gudu saboda nauyi (g) = 10 m/s2
Ana so: Aikin da aka yi ta hanyar ƙarfin nauyi (W)
Magani:
W = F d = wh = mgh
W = (1)(10)(2) = Joule 20
W = aiki, F = ƙarfi, d = nisa, w = nauyi, h = tsayi, m = nauyi, g = hanzari saboda nauyi.
4. An haɗa abu mai nauyin kg 1 a manne da maɓuɓɓugar ruwa don haka ya yi tsayin santimita 2. Idan saurin gudu saboda nauyi ya kai mita 10/s2, ƙayyade (a) ma'aunin bazara (b) aikin da ƙarfin bazara ya yi akan abu
An sani:
Nauyi (m) = 1 kg
Saurin gudu saboda nauyi (g) = 10 m/s2
Tsawaita (x) = 2 cm = 0.02 m
Nauyi (w) = mg = (1 kg)(10 m/s2) = 10 kg m/s2 = 10N
Ana so: Tsarin bazara da aikin da aka yi ta hanyar ƙarfin bazara
Magani:
(a) Madaidaitan bazara
Tsarin Dokar Hooke :
F = k x.
k = F / x = w / x = mg / x
k = (1)(10) / 0.02 = 10 / 0.02
k = 500 N/m
(b) aikin da rundunar sojojin ruwa ta yi
W = – ½ kx2
W = – ½ (500)(0.02)2
W = – (250)(0.0004)
W = -0.1 Joule
Alamar ragewa tana nuna cewa alkiblar ƙarfin bazara ta saba wa alkiblar matsar da abu.
5. Ƙarfin F = 10 N yana hanzarta akwati a kan matsuguni na mita 2. Ƙasa tana da ƙarfi kuma tana aiki a ƙarfin gogayya Fk = 2 N. Kayyade aikin da aka yi a kan akwatin.
An sani:
Ƙarfi (F) = 10 N
Ƙarfin gogayya ta motsi (F)k) = 2 N
Gudun Hijira (d) = 2 m
Ana so: Cibiyar sadarwa (W)net)
Magani:
Aikin da aka yi ta hanyar ƙarfi F:
W1 = F d cos 0 = (10)(2)(1) = Joules 20
Aikin da aka yi ta hanyar ƙarfin gogayya mai motsi (F)k):
W2 = Fk d = (2) (2) (cos 180) = (2) (2) (-1) = -4 Joules
Cibiyar sadarwa:
Wnet = W1 - W2
Wnet = 20-4
Wnet = Joule 16
6Menene aikin da rundunar F ke yi a kan tubalin?
An sani:
Ƙarfi (F) = 12 Newton
Gudun Hijira (d) = mita 4
SE busca: Aiki (W)
Magani:
W = F d = (12 Newton)(mita 4) = 48 N m = Joules 48
7. Ana tura wani tubali da ƙarfin N200. Matsayin tubalin ya kai mita 2. Menene aikin da ake yi a kan tubalin?
An sani:
Ƙarfi (F) = 200 Newton
Gudun Hijira (d) = mita 2
SE busca: Aiki (W)
Magani:
Aiki:
W = Fs
W = (Newton 200)(mita 2)
W = 400 N m
W = Joule 400
8. Direban motar sedan yana son ya ajiye motarsa daidai mita 0.5 a gaban motar wadda take da nisan mita 10 daga inda motar sedan take. Menene aikin da motar sedan take buƙata?
An sani:
Gudun Hijira (d) = mita 10 – mita 0.5 = mita 9.5
Ƙarfi (F) = 50 Newton
Ana so: Aiki (W)
Magani:
W = Fs
W = (Newton 50)(mita 9.5)
W = 475 N m
W = Joule 475
9.
Tom da Jerry ne suka yi aikin domin motar ta iya tafiya har zuwa mita 4. Ƙarfin da Tom da Jerry ke amfani da shi shine 50 N da 70 N.
An sani:
Matsugunin (s) = mita 4
Ƙarfin da aka samu (F) = 50 Newtons + 70 Newtons = 120 Newtons
SE busca: Aiki (W)
Magani:
W = Fs = (Newton 120)(mita 4) = 480 N m = Joules 480
10Direba yana jan mota don haka motar ta yi tafiya har zuwa santimita 1000. Menene aikin da ake yi a motar?
An sani:
Ƙarfi (F) = 250 Newton
Matsugunin (s) = 1000 cm = 1000/100 mita = mita 10
Ana so: Aiki (W)
Magani:
W = Fs = (Newton 250)(mita 10) = 2500 N m = Joules 2500
11. Dangane da hoton da ke ƙasa, idan aikin da rundunar tsaro ta yi ya kasance Joules 375, tantance matsar da abu.
An sani:
Work (W) = Joule 375
Ƙarfin da ba shi da ƙarfi (ΣF) = 40 N + 10 N - 25 N = 25 Newtons (zuwa dama)
Ana so: Hijira (d)
Magani:
Daidaiton aikin:
W = Fs
Matsar da abu:
d = W / F = Joules 375 / Newtons 25
d = 15 mitas
12. Ayyukan da ke ƙasa wjayayya kar a yi aikin is ...
A. Tura abu har zuwa mita 10
B. Tura mota har sai ta motsa
C. Tura bango
D. Ya jawo akwati
Magani:
Daidaiton aikin:
W = ΣF s
W= aikin, F = karfi, d = sauyawa
Bbisa ga dabarar da ke sama, aikin da aka yi da ƙarfi kuma akwai ƙaura.
Madaidaicin amsar ita ce C.
13Andrew yana tura wani abu da ƙarfin N 20 don haka abin yana motsawa cikin motsi na zagaye tare da radius na mita 7. Kayyade aikin da Andrew ya yi sau biyu motsi.
A. Joule 0
B. 1400 Joule
C. 1540 Joule
D. 1760 Joule
Magani:
Idan mutum ya yi kuskure wheelchair Sau biyu na motsi na zagaye, sai mutum da keken guragu su koma matsayinsu na asali, don haka canjin mutum ba shi da yawa.
Matsuguni = 0 don haka aiki = 0.
Amsar da ta dace ita ce A.
14Wani yana tura wani abu a ƙasa da ƙarfin N350. Ƙasa tana nuna ƙarfin gogayya na N70. Ƙayyade aikin da aka yi da ƙarfi don motsa abin har zuwa mita 6.
A. 45 J
B. 72 J
C. 1680 J
D. 2580 J
An sani:
Ƙarfin turawa (F) = Newtons 350
Ƙarfin gogayya (F)kuɗi) = 70 Newton
Canja wurin abu (s) = mita 6
SE busca: Aiki (W)
Magani:
Akwai ƙarfi biyu da ke aiki akan abu, ƙarfin turawa (F) da ƙarfin gogayya (F)kuɗi). Ƙarfin turawa yana da alkibla iri ɗaya da na motsi na abu saboda ƙarfin turawa yana yin aiki mai kyau. A wani ɓangaren kuma, ƙarfin gogayya yana da akasin alkibla tare da motsi na abu don haka ƙarfin gogayya yana yin aiki mara kyau.
Aikin da aka yi ta hanyar tura ƙarfi:
W = F d = (350 Newton)(mita 6) = 2100 Mita Newton = Joules 2100
Ana aiwatar da aikin ta hanyar amfani da ƙarfin gogayya:
W = – (Fkuɗi)(s) = – (Newton 70)(mita 6) = – 420 Newton-mita = – Joules 420
Cibiyar sadarwa:
W net = Joules 2100 – Joules 420
W net = 1680 Joule
Madaidaicin amsar ita ce C.
15. Ana tura wani abu ta hanyar ƙarfin kwance na Newtons 14 a kan wani ƙasa mai wahala tare da ƙarfin gogayya na Newtons 10. Kayyade aikin da ake yi na motsa abin har zuwa mita 8.
A. Joule 0.5
B. 3 Joule
C. 32 Joule
D. 192 Joule
An sani:
Ƙarfin turawa (F) = 14 Newton
Ƙarfin gogayya (F)kuɗi) = 10 Newton
Canja wurin abu (d) = mita 8
SE busca: Aiki (W)
Magani:
Akwai ƙarfi biyu da ke aiki akan abu, ƙarfin turawa (F) da ƙarfin gogayya (F)kuɗi).
Ƙarfin turawa yana da alkibla iri ɗaya da na motsi na abu don haka ƙarfin turawa yana yin aiki mai kyau. A wani ɓangaren kuma, ƙarfin gogayya yana da akasin alkibla kamar na motsi na abu don haka ƙarfin gogayya yana yin aiki mara kyau.
Aikin da aka yi ta hanyar tura ƙarfi:
W = Fs = (Newton 14)(mita 8) = mita 112 na Newton = Joules 112
Ana aiwatar da aikin ta hanyar amfani da ƙarfin gogayya:
W = – (Fkuɗi)(s) = – (Newton 10)(mita 8) = – Mita 80 Newton = – Joules 80
Cibiyar sadarwa:
W net = Joules 112 – Joules 80
W net = 32 Joule
Madaidaicin amsar ita ce C.
16. Ƙayyade aikin yanar gizo bisa ga hoton da ke ƙasa.
A. Joule 360
B. 450 Joule
C. 600 Joule
D. 750 Joule
Magani:
Aiki = Ƙarfi (F) x matsar da (d)
Aiki = Yankin alwatika 1 + yankin murabba'i mai kusurwa huɗu + yankin alwatika 2
Work = 1/2(40-0)(3-0) + (40-0)(9-3) + 1/2(40-0)(12-9)
Aiki = 1/2(40)(3) + (40)(6) + 1/2(40)(3)
Aiki = (20)(3) + 240 + (20)(3)
Aiki = 60 + 240 + 60
Aiki = Joule 360
Amsar da ta dace ita ce A.
17. An saka wani katako mai tsawon santimita 60 a tsaye a ƙasa. An buge katako da guduma mai nauyin kilogiram 10 daga tsayin santimita 40 a saman itacen. Idan matsakaicin ƙarfin juriya na ƙasa shine 2 x 103 N kuma saurin gudu saboda nauyi shine 10 m/s2, to itacen zai shiga ƙasa gaba ɗaya bayan…. ya buga.
A. 4
B. 16
C. 28
D. 30
An sani:
Nauyin guduma (m) = 10 kg
Saurin gudu saboda nauyi (g) = 10 m/s2
Nauyin guduma (w) = mg = (10)(10) = 100 kg m/s2
Komawar guduma kafin a buga itace (d) = 40 cm = mita 0.4
Juriyar itace (F) = 2 x 103 N = 2000N
Tsawon katako = 60 cm = mita 0.6
Ana so: TItacen zai shiga ƙasa gaba ɗaya bayan…. ya buge.
Magani:
Aikin da ake yi a kan guduma lokacin da guduma ta motsa har zuwa mita 0.4 shine:
W = F d = ws = (100 N)(0.4 m) = 40 Nm = Joules 40
Aikin da ƙarfin juriya na ƙasa ke yi:
W = F d = (2000 N)(0.6 m) = 1200 Nm = Joules 1200
TItacen zai shiga ƙasa gaba ɗaya bayan…. ya buge.
Joules 1200 / Joules 40 = 30
Amsar da ta dace ita ce D.
[wpdm_package id='1192′]
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- Amfani da kiyaye makamashin injiniya don motsi a kan jirgin sama mai karkata
- Amfani da kiyaye makamashin injiniya don motsi mai ƙarfi
