1. Mutum yana cikin wani lif wanda ke tafiya sama a wani wuri saurin da ya dace. The nauyi Na mutum shine 800 N. Nan da nan igiyar lif ta karye, don haka lif ɗin ya faɗi. Ka tantance ƙarfin yau da kullun ya yi aiki ta hanyar benen lif ga mutumin kafin da kuma bayan igiyar lif ɗin ta karye.
A. 800 N da 0
B. 800 N da 800 N
C. 1600 N da 0
D. 1600 N da 800 N
An sani:
Nauyi (w) = 800 Newton
SE busca: Ƙarfin al'ada (N)
Magani:
Kafin igiyar lif ta karye
Idan mutum ya tsaya a ƙasan lif, nauyi yana aiki a kan mutum inda alkiblar mutumin take ƙasa. Wannan mutumin yana hutawa don haka dole ne a sami ƙarfin da ya dace yana aiki a kan mutum, inda alkiblar ƙarfin da ya dace take sama kuma girman ƙarfin da ya dace daidai yake da girman nauyin.
Domin mutumin yana hutawa a cikin lif kuma lif yana motsawa da sauri akai-akai (a'a) hanzari), don haka babu wani ƙarfi da zai iya yin aiki a kan mutumin.
∑F = 0
N – w = 0
N = w
N = 800 Newton
Bayan igiyar lif ta karye
Bayan igiyar lif ta karye, lif ɗin da mutumin faɗuwa kyauta tare, inda girma da alkiblar saurinsu iri ɗaya ne da saurin gudu saboda nauyi. Babu wani ƙarfi na yau da kullun akan mutum.
Amsar da ta dace ita ce A.
2. Toshe mai nauyin gram 20 yana motsawa a kan wani wuri mai tsauri a kwance a kan wani wuri mai tsauri idan akwai ƙarfin waje na 2 N yana aiki akan toshe. Ka ƙayyade girman toshewar. ƙarfin gogayya wanda aka fuskanta ta hanyar toshe.
A. 0.3 N
B. 1.4 N
C. 2.0 N
D. 3.6 N
An sani:
Nauyi (m) = gram 20
Ƙarfi (F) = 2 Newton
SE busca: Girman ƙarfin gogayya da tubalin ke fuskanta.
Magani:
Bisa ga dokar motsi ta farko ta Newton, idan toshe yana motsawa a gudun da ba ya canzawa, to toshen ba shi da hanzari. Toshe yana motsawa a gudun da ba ya canzawa, kuma babu hanzari idan:
– Girman ƙarfin gogayya (F)kuɗi) daidai da girman ƙarfin waje (F)
– Ƙarfin gogayya (F)kuɗi) yana da akasin alkibla ga ƙarfin waje (F)
Yi amfani da dokar farko ta motsi ta Newton:
ΣF=0
F – Fkuɗi = 0
F = Fkuɗi
Fkuɗi = 2 Newton
Madaidaicin amsar ita ce C.
3. Jirgin sama mai santsi mai tsayin mita 0.6 da tsayin mita 0.4. Bango mai nauyin mita 1350 zai yi sama ta amfani da jirgin sama mai karkata. A tantance girman ƙarfin da ake buƙata don motsa tubalin.
A. 100 N
B. 300 N
C. 600 N
D. 900 N
An sani:
Nauyin tolo (w) = 1350 Newtons
hawan jini = 0.6 m
kusurwa = 0.4 m
Ana so: Mafi ƙarancin ƙarfi
Magani:
hyp = ac = 0.6 m
opp = bc = 0.4 m
Sin θ = bc / ac = 0.4 / 0.6 = 4/6 = 2/3
Dangane da dokar motsi ta farko ta Newton, toshewar ta fara motsawa sama sannan ƙarfin waje (F) ya zama aƙalla iri ɗaya da ɓangaren nauyi na kwance (w).x).
ΣF=0
F – wx = 0
F = wx
Idan F = wx, to, abu yana fara motsawa sama da sauri akai-akai.
wx = w sin θ = (1350) (2/3) = (2) (450) = 900 Newtons
Amsar da ta dace ita ce D.
4. Ƙarfi uku, F1 = 22 N, F2 = 18 N da F3 = 40 N yana aiki akan toshe. Wanne adadi ne ke bayyana dokar farko ta Newton.
Magani:
Dokar farko ta Newton: Ƙarfin da aka samu (ΣF) = 0.
A. F1 +F2 - F3 = 22 N + 18 N – 40 N = 40 N – 40 N = 0
B. F2 +F3 - F1 = 18 N + 40 N – 22 N = 58 N – 22 N = 36 N (zuwa dama)
C. F2 +F3 - F1 = 18 N + 40 N – 22 N = 58 N – 22 N = 36 N (zuwa dama)
D. F1 +F3 - F2 = 22 N + 40 N – 18 N = 62 N – 18 N = 44 N (hagu)
