Makamashi Mai Yiwuwa - matsaloli da mafita

Makamashi Mai Yiwuwa - matsaloli da mafita

Makamashin ƙarfin nauyi

1. Makamashi 4900 Joules ana amfani da su wajen ɗaga abu mai nauyin kilogiram 50 zuwa tsayin h. Menene tsayin h? Hanzarta saboda nauyi (g) = 9.8 ms^-2.

An sani:

Canji na m makamashi (ΔPE) = Joule 4900

Mass na abu (m) = 50 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s²

SE busca: tsayi (Δh)

Magani:

ΔPE = mg Δh

4900 = (50)(9.8) Δh

4900 = 490 Δh

Δh = mita 10

Makamashin bazara mai yuwuwa

2. Jadawalin da ke ƙasa yana nuna alaƙar da ke tsakanin ƙarfi (F) da x (canjin tsayi) na bazara. Idan canjin tsawon bazara ya kai cm 8, menene ƙarfin ƙarfin bazara?

An sani:

Ƙarfi (F) = 2 Newton

Canjin tsayi 1 (x) = 1 cm = 1/100 m = 0.01 m

Canjin tsayi 2 = 8 cm = 8/100 m = 0.08 m

Ana so: Makamashin bazara mai yuwuwa

Magani:

Bazara ta yau da kullun:

Makamashin bazara mai yuwuwa:

∆PE = 1/2 kx²

∆PE = 1/2 (200 N/m)(0.08 m)²

∆PE = (100 N/m)(0.0064 m²)

∆PE = 0.64 Nm

3. Dangane da teburin da ke ƙasa, F = nauyin abu, ∆L = canjin tsawon bazara. Menene aikin da aka yi a bazara don haka canjin tsawon bazara shine 10 cm.

An sani:

Canjin tsawon bazara (∆L) = 10 cm = 0.1 m

Ana so: An yi aikin a lokacin bazara

Magani:

Bazara ta yau da kullun:

k = F / ∆x = 20 N / 0.04 m = 500 N/m

k = F / ∆x = 30 N / 0.06 m = 500 N/m

k = F / ∆x = 40 N / 0.08 m = 500 N/m

Ma'aunin bazara shine 500 N/m

Ana yin aikin a lokacin bazara, don haka canjin tsawon bazara shine 10 cm:

W = 1/2 k ∆L² = 1/2 (500 N/m)(0.1 m)² = (250 N/m)(0.01 m²) = 2.5 N m = 2.5 Joules.

4. Jadawalin da ke ƙasa yana nuna alaƙar da ke tsakanin ƙarfi (F) da canjin tsayi (x). Menene kuzarin ƙarfin bazara bisa ga jadawalin da ke ƙasa.

An sani:

F = 40 Newton

Δx = 0.08 m

Ana so: makamashin bazara mai yuwuwa

Magani:

Bazara ta yau da kullun:

k = F / Δx

Makamashin bazara mai yuwuwa:

PE = ½ k Δx² = ½ (F/Δx) Δx² = ½ F Δx

PE = ½ (40) (0.08) = (20) (0.08) = 1.6 Joules

1. Menene makamashi mai yuwuwa?
   • Amsa: Makamashi mai yuwuwa shine makamashin da abu yake da shi saboda matsayinsa ko yanayinsa. Makamashi ne wanda ke da damar yin aiki amma ba ya haifar da motsi a yanzu.
2. Ta yaya ƙarfin ƙarfin nauyi ya dogara da tsayi?
   • Amsa: Ƙarfin ƙarfin nauyi yana daidai gwargwado kai tsaye da tsayin abu a sama da wurin tunani. Tsarin shine PE$=mgh$, inda PE shine makamashin da ake iya samu, $m$ taro ne, $g$ shine saurin nauyi, kuma $h$ shine tsayi.
3. Me yasa ake cewa maɓuɓɓugar ruwa mai faɗi ko matsewa tana da ƙarfin kuzari?
   • Amsa: Idan aka miƙe ko aka matse maɓuɓɓugar ruwa daga matsayin daidaitonsa, yana adana makamashi. Wannan makamashi yana da damar yin aiki lokacin da bazara ta dawo zuwa yanayin daidaitonsa. Wannan makamashin da aka adana ana kiransa makamashin da ke da ƙarfin roba.
4. Ta yaya ƙarfin kuzarin abu zai canza idan aka ɗaga shi zuwa ninki biyu na tsayinsa na asali a cikin filin nauyi?
   • Amsa: Idan aka ɗaga abu zuwa ninki biyu na tsayinsa na asali, ƙarfin ƙarfinsa na nauyi zai ninka. Wannan kuwa saboda ƙarfin ƙarfin yana dogara ne akan tsayi.
5. Shin zai yiwu abu ya sami makamashi mai rauni? Bayyana.
   • Amsa: Eh, makamashin da ke cikin ƙarfin zai iya zama mara kyau dangane da zaɓin wurin tunani. Misali, a cikin matsalolin makamashin da ke cikin ƙarfin nauyi, sau da yawa muna sanya ƙasa a matsayin babu makamashin da ke cikin ƙarfin. Idan abu yana ƙasa da wannan wurin tunani (kamar a cikin rijiya), makamashin da ke cikin ƙarfinsa zai zama mara kyau idan aka kwatanta da abin da aka zaɓa.
6. Ta yaya makamashin da ke da yuwuwar yana da alaƙa da makamashin motsi a cikin tsarin rufewa?
   • Amsa: A cikin tsarin rufewa ba tare da ƙarfin waje ba, jimlar kuzarin (ikon motsi + ƙarfin motsi) yana nan daram. Wannan ƙa'ida ta dogara ne akan kiyaye makamashi. Yayin da kuzarin kuzari ke ƙaruwa, kuzarin motsi yana raguwa, akasin haka.
7. Me ke faruwa da ƙarfin ƙarfin nauyi na apple idan ya faɗo daga itace?
   • Amsa: Yayin da apple ke faɗuwa, ƙarfin ƙarfinsa na nauyi yana raguwa saboda yana ƙara kusantowa ga Duniya. Wannan ƙarfin kuzarin da ya ɓace yana canzawa zuwa kuzarin motsi, yana sa apple ɗin ya yi sauri yayin da yake faɗuwa.
8. Me yasa pendulum ke da mafi yawan kuzarin da ake buƙata a lokacin da yake kan gaba?
   • Amsa: A lokacin da yake kan kololuwar juyawarsa, pendulum yana kan mafi girman matsayi idan aka kwatanta da matsayinsa na hutawa. Wannan yana nufin yana da matsakaicin tsayi kuma, saboda haka, matsakaicin ƙarfin ƙarfin nauyi. Yayin da yake juyawa, wannan kuzarin yana canzawa zuwa makamashin motsi.
9. Shin abu zai iya samun kuzari mai yuwuwa koda kuwa ba a cikin filin nauyi ba ne?
   • Amsa: Eh. Makamashin da ake da shi ba wai kawai yana da ƙarfi ga filayen nauyi ba ne. Misali, maɓuɓɓugar ruwa mai matsewa a tashar sararin samaniya (inda tasirin nauyi ba shi da yawa) har yanzu tana da ƙarfi mai ƙarfi. Hakazalika, caji a filin lantarki yana da ƙarfi mai ƙarfi.

10. Ta yaya nauyin abu ke tasiri ga ƙarfin ƙarfinsa na nauyi?

    • Amsa: Ƙarfin ƙarfin nauyi yana daidai gwargwado kai tsaye da nauyin abu. Idan ka ninka nauyin abu sau biyu, ƙarfin ƙarfin nauyi (a tsayi ɗaya) shi ma zai ninka.