Amfani da kiyaye makamashin injiniya don motsi na faɗuwa kyauta - matsaloli da mafita

1. Jiki mai nauyin kilogiram 1 ya faɗi cikin 'yanci daga hutawa, daga tsayin mita 80. Saurin nauyi saboda nauyi shine 10 m/s ^2. Menene kuzarin motsi lokacin da jiki ya faɗi ƙasa.

An sani:

Nauyi (m) = 1 kg

Tsawo (h) = mita 80

Saurin gudu saboda nauyi (g) = 10 m/s ²

Ana so: kuzarin motsi lokacin da jiki ya buga ƙasa

Magani:

Makamashin injina na farko (ME _o ) = makamashin ƙarfin nauyi (PE)

M E _o = P E = mgh = (1)(10)(80) = Joules 800

Makamashin injiniya na ƙarshe (M E _t ) = makamashin motsi (K E )

Ka'idar kiyaye makamashin inji :

M E _o = M E _t

P E = K E

800 = K E

Ƙarfin motsi na ƙarshe shine Joules 800.

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2. Jiki mai nauyin kilogiram 4 ya faɗi daga hutawa, daga tsayin mita 10. Saurin nauyi saboda nauyi shine 10 ms ^–2 . Menene kuzarin motsi da saurin da ke mita 5 sama da ƙasa.

An sani:

Sauyin tsayi (h) = 10 – 5 = mita 5 a sakan daya

Nauyi (m) = 4 kg

Saurin gudu saboda nauyi (g) = 10 m/s ²

Ana so: Ƙarfin motsi a mita 5 a sama da ƙasa da kuma saurin gudu a mita 5 a sama da ƙasa

Magani:

(a) Makamashin motsi a mita 5 sama da ƙasa

Makamashin injina na farko (M E _o ) = makamashin ƙarfin nauyi (P E )

M E _o = P E = mgh = (4)(10)(5) = Joules 200

Makamashin injiniya na ƙarshe (EM _t ) = makamashin motsi (EK)

M E _t = K E

Ka'idar kiyaye makamashin injiniya ta bayyana cewa makamashin injiniya na farko = makamashin injiniya na ƙarshe.

M E _o = M E _t

200 = K E

Makamashin motsi a mita 5 sama da ƙasa shine Joules 200.

(b) gudu a mita 5 sama da ƙasa

Makamashin injina na farko (M E _o ) = makamashin injina na ƙarshe (M E _t )

P E = K E

200 = ½ mv ²

2(200) / 4 = v ²

100 = v ²

v = √100

v = 10 m/s

Gudun jiki a mita 5 sama da ƙasa shine 10 m/s.

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3. Mangoro yana faɗuwa daga hutawa, daga tsayin mita 2. Saurin nauyi saboda nauyi shine 10 ms ^–2 . Kayyade saurin mangoro lokacin da ya faɗi ƙasa.

An sani:

Tsawo (h) = mita 2 a sakan daya

Saurin gudu saboda nauyi (g) = 10 m/s ²

Ana so: saurin mangwaro idan ya faɗi ƙasa.

Magani:

Makamashin injina na farko (M E _o ) = makamashin ƙarfin nauyi (P E )

M E = P E = mgh = m (10)(2) = 20 m

Makamashin injiniya na ƙarshe (M E _t ) = makamashin motsi (K E )

M E _t = K E = ½ mv ²

Ka'idar kiyaye makamashin injiniya ta bayyana cewa makamashin injiniya na farko = makamashin injiniya na ƙarshe.

M E _o = M E _t

20 m = ½ mv ²

20 = ½ v ²

2(20) = v ²

40 = v ²

v = √40 = √(4)(10) = 2√10 m/ s

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1. An yi aiki da ƙarfin gwiwa da mafita da matsaloli
2. Matsalolin makamashin aiki da kuma mafita da mafita
3. Matsaloli da mafita na ƙa'idodin makamashin aiki-injini
4. Matsalolin makamashi masu yuwuwar nauyi da mafita
5. Ƙarfin da ke tattare da matsalolin bazara masu laushi da mafita
6. Matsalolin wutar lantarki da mafita
7. Amfani da kiyaye makamashin injiniya don motsi na faɗuwa kyauta
8. Amfani da kiyaye makamashin injiniya don motsi sama da ƙasa a cikin motsi na faɗuwa kyauta
9. Amfani da kiyaye makamashin injiniya don motsi a kan saman da ke lanƙwasa
10. Amfani da kiyaye makamashin injiniya don motsi a kan jirgin sama mai karkata
11. Amfani da kiyaye makamashin injiniya don motsi mai ƙarfi