1. Jiki mai nauyin kilogiram 1 ya faɗi daga hutawa, daga tsayin mita 10.
Ƙayyade:
(a) Aikin da aka yi da ƙarfin nauyi
(b) Canjin kuzarin ƙarfin nauyi
Saurin gudu saboda nauyi (g) = 10 m/s 2
An sani:
Nauyi (m) = 1 kg
Tsawo (h) = mita 10
Saurin gudu saboda nauyi (g) = 10 m/s 2
Nauyi (w) = mg = (1 kg)(10 m/s 2 ) = 10 N
Magani:
(a) Aikin da aka yi da ƙarfin nauyi
W = w = mgh
W = (1)(10)(10) = Joule 100
(b) Canjin kuzarin ƙarfin nauyi
Canjin makamashin ƙarfin nauyi daidai yake da aikin da nauyi ke yi.
Δ EP = Joule 100
[irp]
2. Wani abu mai girman N 10 yana zamewa ƙasa a kan jirgin da ya karkata santsi tare da mita 2. Kayyade aikin da aka yi ta ƙarfin nauyi!
An sani:
nauyi (w) = 10 N
w x = w zunubi θ = (10) (zunubi 30 o ) = (10) (0.5) = 5 N
d = 2 m
Saurin gudu saboda nauyi (g) = 10 m/s 2
Ana so: aikin da aka yi da ƙarfin nauyi
Magani:
W = F d = w x d = (5)(2) = Joules 10
Madadin mafita:
Zunubi 30 o = h / d
0.5 = h / 2
h = (0.5)(2)
h = 1m
Ana yin aikin ne ta hanyar ƙarfin nauyi;
W = F d = wh = (10 N)(1 m) = 10 N m = Joules 10
[irp]
3. Abu mai nauyin gram 1,500 a mita 20 sama da ƙasa , ya faɗi ƙasa kyauta. Menene ƙarfin ƙarfin nauyi na abu. Saurin nauyi saboda nauyi shine 10 m/s 2.
An sani:
Saurin gudu saboda nauyi (g) = 10 m/s 2
Nauyi (m) = gram 1500 = kilogiram 1500/1000 = kilogiram 1.5
Tsawo (h) = mita 20
Ana so: Ƙarfin ƙarfin nauyi
Magani:
PE = mgh = (1.5 kg)(10 m/s 2 )(20 m) = 300 kg m 2 /s 2 = 300 Joules
4. Dangane da hoton da ke ƙasa, idan nauyin abu na 1 shine kilogiram 2 kuma nauyin abu na 2 shine kilogiram 4, kwatanta yuwuwar kuzarin abu na 1 da abu na 2 shine …..
An sani:
Nauyin abu 1 (m1) = 2 kilogiram
Nauyin abu 2 (m2 ) = kilogiram 4
Tsawo 1 (awa 1 ) = mita 12
Tsawo 2 (awa 2 ) = mita 9
Ana so: Kwatanta kuzarin da ke akwai na abu na 1 da abu na 2
Magani:
PE = mgh
m = nauyi (naúrar ƙasa da ƙasa ita ce kilogiram, a takaice dai kg)
g = hanzari saboda nauyi (naúrar ƙasa da ƙasa mita a kowace daƙiƙa murabba'i ne, an taƙaita shi m/s 2 )
h = tsayi (naúrar ƙasa da ƙasa ita ce mita, an taƙaita ta a takaice m)
PE = ƙarfin ƙarfin nauyi (naúrar ƙasa da ƙasa ita ce kg m 2 / s 2 ko Joule)
Ƙarfin ƙarfin nauyi na abu na 1:
EP 1 = m 1 gh 1 = (2) (g) (12) = 24 g
Ƙarfin ƙarfin nauyi na abu na 2:
EP 2 = m 2 gh 2 = (4) (g) (9) = 36 g
Kwatanta ƙarfin da ke cikin abu na 1 da abu na 2:
PE 1 : PE 2
24 g: 36 g
24: 36
12/24: 12/36
2: 3
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