1. Mutum yana jefa dutse mai nauyin kilogiram 1 sama a gudun mita 2/s yayin da yake tsaye a gefen wani dutse don dutsen ya faɗi zuwa gindin dutsen mita 40 a ƙasa. Menene ƙarfin motsi na dutse a mita 10 sama da ƙasa? Saurin gudu saboda nauyi g = 10 m/s 2.
An sani:
Nauyi (m) = 1 kg
Saurin farko (v o ) = 2 m/s
Canjin tsayi = 40 – 10 = mita 30
Saurin gudu saboda nauyi (g) = 10 m/s 2
Ana so: kuzarin motsi na dutse a mita 10 sama da ƙasa
Magani:
Makamashin injina na farko
Ƙarfin ƙarfin nauyi na farko (EP) = mgh = (1)(10)(30) = Joules 300
Makamashin motsi na farko (KE) = ½ mv o 2 = ½ (1)(2) 2 = ½ (4) = Joules 2
Makamashin injiniya na farko = ƙarfin ƙarfin nauyi na farko + kuzarin motsi na farko = 300 + 2 = Joules 302.
Makamashin injiniya na ƙarshe
Makamashin injiniya na ƙarshe = makamashin motsi na ƙarshe = ƙarfin ƙarfin nauyi na farko + kuzarin motsi na farko = 300 + 2 = Joules 302.
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2. Mutum yana jefa wani abu mai nauyin kilogiram 1 sama zuwa sama da saurin farko na m10/s. A tantance (a) ƙarfin ƙarfin nauyi a matsakaicin tsayi (b) matsakaicin tsayi.
Saurin gudu saboda nauyi shine 10 m/s 2
An sani:
Nauyi (m) = 1 kg
Saurin farko (v o ) = 10 m/s
Saurin gudu saboda nauyi (g) = 10 m/s 2
Ana so : ƙarfin ƙarfin nauyi a matsakaicin tsayi da matsakaicin tsayi
Magani:
(a) ƙarfin ƙarfin nauyi a matsakaicin tsayi
Makamashin injina na farko:
Makamashin injiniya na farko (ME) = makamashin motsi na farko (KE) = ½ mv o 2 = ½ (1)(10) 2 = ½ (100) = Joules 50.
Makamashin injiniya na ƙarshe:
Makamashin injiniya na ƙarshe (ME) = makamashin ƙarfin nauyi (PE)
Ka'idar kiyaye makamashin inji:
Makamashin injina na farko = makamashin injina na ƙarshe
KE = PE
50 = PE
Ƙarfin ƙarfin nauyi shine joules 50.
(b) Matsakaicin tsayi
PE = mgh
50 = (1)(10) h
50 = awanni 10
h = 50 / 10 = mita 5
Tsawonsa ya kai mita 5 sama da ƙasa.
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