Tambayoyi Misali na Motsin Faɗuwa Kyauta

Tambayoyi 16 na Samfura Motsin Faɗuwa Kyauta.

1. 'Ya'yan kwakwar suna cirewa daga tushe kuma suna isa ƙasa bayan daƙiƙa uku. Menene saurin kwakwar idan ta faɗi ƙasa? g = 10 m/s²
Tattaunawa
An sani :
t = daƙiƙa 3
g = 10 m/s²
An tambaya :
Saurin ƙarshe (v)_t)?
Jawab :
Ba tare da dabara ba.
Idan 'ya'yan itacen suka faɗi cikin 'yanci, suna fuskantar saurin nauyi na 10 m/s² ko kuma 10 m/s a kowace daƙiƙa 1. Wannan yana nufin saurin 'ya'yan itacen yana ƙaruwa da 10 m/s a kowace daƙiƙa 1.
Bayan daƙiƙa 1, saurin 'ya'yan itacen = 10 m/s
Bayan daƙiƙa 2, saurin 'ya'yan itacen = 20 m/s
Bayan daƙiƙa 3, saurin 'ya'yan itacen = 30 m/s.
Amfani da dabarar.
Tsarin GLBB :
v_t = v_o + gt
h = v_o t + ½ gt²
v_t² = v_o² + 2 gh
A lokacin faɗuwar free fall, abu ba shi da saurin farko (v)_o = 0). Saboda haka dabarar da ke sama ta canza zuwa:
Tsarin GJB :
v_t = gt
h = ½ gt²
v_t² = 2 gh
Bayani: v_t = gudun ƙarshe, g = hanzari saboda nauyi, t = tazara tsakanin lokaci, h = tsayi.
An ba da g da t, an tambayi v_t Saboda haka yi amfani da dabarar farko.
v_t = gt
v_t = (10)(3)
v_t = 30m/s
Saurin ƙarshe na 'ya'yan itacen = 30 m/s

2. Abu yana faɗuwa cikin sauƙi daga tsayin mita 5 sama da ƙasa. A ƙayyade (a) saurin kwakwa lokacin da ya bugi ƙasa (b) Tazarar lokacin da 'ya'yan itacen za su faɗi har sai sun isa ƙasa.
g = 10 m/s²
Tattaunawa
An sani :
h = mita 5
g = 10 m/s²
An tambaya :
(a) Saurin ƙarshe (v)_t)?
(b) Tazarar lokaci (t)?
Jawab :
Tsarin GJB :
v_t = gt
h = ½ gt²
v_t² = 2 gh
(a) Saurin ƙarshe (v)_t)
Idan aka ba da h da g, an tambayi v_t Saboda haka yi amfani da dabara ta uku.
v_t² = 2 gh = 2(10)(5) = 100
v_t = 10m/s
(b) Tazarar lokaci (t)
Idan aka ba da h da g, don nemo t, yi amfani da dabara ta biyu.
h = ½ gt²
5 = ½ (10) t²
5 = 5t²
t² = 5/5 = 1
t = daƙiƙa 1
Tazarar lokaci = daƙiƙa 1

3. Ana jefar da ƙwallo daga wani tsayi. A ƙayyade (a) saurin abin (b) nisan da aka yi tafiya a cikin daƙiƙa 3 (c) tazarar lokacin da abin zai kai gudun m20/s
g = 10 m/s²
Tattaunawa
An sani :
g = 10 m/s²
An tambaya :
(a) Hanzarta (a)?
(b) Nisa da aka yi tafiya (h) idan t = daƙiƙa 3?
(c) Tazarar lokaci (t) idan v_t = 20 m/s?
Jawab :
Tsarin GJB
v_t = gt
h = ½ gt²
v_t² = 2 gh
(a) Hanzarta (a)?
Saurin abu = hanzari saboda nauyi = 10 m/s²Wannan yana nufin saurin abu yana ƙaruwa da m10/s a cikin daƙiƙa 1.
(b) Nisa da aka yi tafiya (h) idan t = daƙiƙa 3?
Idan aka ba da g = 10 da t = 3, don nemo h, yi amfani da dabara ta biyu.
h = ½ gt² = ½ (10)(3) = (5)(3)²) = (5)(9) = mita 45
(c) Tazarar lokaci (t) idan v_t = 20 m/s?
An ba da g = 10 da v_t = 20, an nemi t saboda haka yi amfani da dabarar farko.
v_t = gt
20 = (10) t
t = 20 / 10 = daƙiƙa 2

4. Ana jefar da dutse daga saman hasumiya mai tsayin mita 80. Idan saurin gudu saboda nauyi ya kai mita 10/s², saurin dutsen idan ya bugi ƙasa shine…
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
E. 50 m/s
Tattaunawa
An san cewa:
h = mita 80
g = 10 m/s²
An tambaya:
Saurin ƙarshe (v)_t) dutse?
Amsa:

Amsar da ta dace ita ce D.

5. An jefar da wani abu daga ginin bene mai hawa da yawa ba tare da wani saurin farko ba. Bayan daƙiƙa biyu, abin ya isa ƙasa (g = 10 m/s)²) Tsawon da aka jefar da abu daga ciki shine...
A. mita 10
B. mita 20
C. mita 30
D. mita 40
E. mita 50
Tattaunawa
An san cewa:
t = daƙiƙa 2
g = 10 m/s²
An tambaya:
Tsawo (h)?
Amsa:

Amsar da ta dace ita ce B.

6. Ana jefar da ƙwallon daga tsayin X kamar yadda aka nuna a cikin hoton da ke ƙasa. Idan tsayin ƙwallon a lokacin tsalle na farko ya kai cm 50 kuma tsalle na biyu ya kai cm 20, to girman x shine….
A. 60 cm
B. 70 cm
C. 100 cm
D. 125 cm
E. 150 cm
Tattaunawa

Amsar da ta dace ita ce D.

7. Kalli hoton da ke ƙasa! Da farko an saki ƙwallon daga matsayi na (1) kuma bayan ya taɓa ƙasa, ƙwallon zai yi tsalle. Idan g = 10 ms^-2, to tsayin h shine….
A. 74 cm
B. 70 cm
C. 66 cm
D. 64 cm
E. 60 cm
Tattaunawa

Amsar da ta dace ita ce D.

8. Ana jefar da dutse daga saman wani hasumiya mai tsayin mita 45. Idan hanzartawa saboda nauyi duniya 10 ms^-2, saurin dutsen idan ya bugi ƙasa shine…

A. 25 ms^-1
B. 30 ms^-1
C. 35 ms^-1
D. 40 ms^-1
E. 45 ms^-1

Tattaunawa
An sani :
Tsawo (h) = mita 45
Saurin gudu saboda nauyi (g) = 10 m/s²
An tambaya : Saurin dutsen idan ya bugi ƙasa (v)_t)
Jawab :
Tsarin dabara motsi na faɗuwa kyauta :
v_t² = 2 gh
Saurin dutsen idan ya faɗi ƙasa :
v_t² = 2 (10)(45) = 900
v_t = √900 = 30 m/s²
Amsar da ta dace ita ce B.

9. Abu ya faɗi daga saman hasumiya ba tare da wani saurin farko ba, bayan daƙiƙa 2 sai abu ya isa ƙasa. Idan g = 10 ms^-2, to tsayin hasumiyar shine...

A. 40 m
B. 25 m
C. mita 20
D. 10 m
E. 5 m

Tattaunawa
An sani :
Tazarar lokaci (t) = daƙiƙa 2
Saurin gudu saboda nauyi (g) = 10 m/s²
An tambaya : Tsawon hasumiya (h)

Jawab :
Tsarin motsi na faɗuwa kyauta :
h = ½ gt²
Tsawon hasumiya :
h = ½ (10)(2)² = (5)(4) = mita 20
Amsar da ta dace ita ce C.

10. Abu mai nauyin kilogiram 2 yana faɗuwa cikin sauƙi daga tsayin mita 20 daga sama da ƙasa. Tsawon wane lokaci ne zai ɗauka kafin abu ya isa ƙasa? (g = 10 ms^-2)
A. Daƙiƙa 20
B. Daƙiƙa 18
C. daƙiƙa 10
D. daƙiƙa 5
E. daƙiƙa 2
Tattaunawa
Ba a la'akari da nauyin abu wajen magance matsalolin faɗuwar da ba ta da tushe.
An sani :
Tsawo (h) = mita 20
Saurin gudu saboda nauyi (g) = 10 m/s²
An tambaya : Tazarar lokaci ga abin da zai isa ƙasa (t)
Jawab :
Tsarin motsi na faɗuwa kyauta :
h = ½ gt²
Tazarar lokacin da abu zai isa ƙasa :
20 = ½ (10)(t)²)
20= (5)(t)²)
20/5 = t²
4 = t²
t = √4
t = daƙiƙa 2
Amsar da ta dace ita ce E.

11. Ana sauke dutse daga saman hasumiya mai tsayin mita 45. Idan saurin gudu saboda nauyi ya kai mita 10/s^-2, saurin dutsen idan ya bugi ƙasa shine…
A. 25 ms^-1
B. 30 ms^-1
C. 35 ms^-1
D. 40 ms^-1
E. 45 ms^-1
Tattaunawa

12. Abu ya faɗi daga saman hasumiya ba tare da wani saurin farko ba, bayan daƙiƙa 2 sai abu ya isa ƙasa. Idan g = 10 ms^-2, to tsayin hasumiyar shine...
A. 40 m
B. 25 m
C. mita 20
D. 10 m
E. 5 m
Tattaunawa

13. Abu mai nauyin kilogiram 2 yana faɗuwa cikin sauƙi daga tsayin mita 20 daga sama da ƙasa. Tsawon wane lokaci ne zai ɗauka kafin abu ya isa ƙasa? (g = 10 ms^-2)
A. Daƙiƙa 20
B. Daƙiƙa 18
C. daƙiƙa 10
D. daƙiƙa 5
E. daƙiƙa 2
Tattaunawa
Ba a la'akari da nauyin abu wajen magance matsalolin faɗuwar da ba ta da tushe.

14. Kwakwa da mangwaro suna faɗuwa tare daga tsayin h₁ kuma h₂Lokacin da h₁ :h₂ = 2: 1, don haka rabon lokacin faɗuwa tsakanin kwakwa da mangwaro shine...
A. 1: 2
B. 1: 2√2
C. √2: 1
D. 2: 1
E. 2√2: 1
Tattaunawa
An san cewa:
Kwakwa na faɗuwa daga tsayin h₁ = 2
Mangoron ya faɗo daga tsayin h₂ = 1
Saurin gudu saboda nauyi = g
Tambaya: Kwatanta lokacin faɗuwa tsakanin kwakwa da mangwaro (t₁ : t₂)
Amsa:
Idan aka yi la'akari da tsayin (h) da lokaci (t), dabarar motsi na faɗuwa kyauta da aka yi amfani da ita ita ce h = 1/2 gt²

Amsar da ta dace ita ce D.

15. Ana sauke wani abu daga tsayin h sama da ƙasa. Bayan isa ƙasa, saurinsa shine m10/s.^-1, sannan lokacin da ake buƙata don isa tsayin awa 1/2 daga ƙasa (g = 10 ms^-2) shine…
A. 1/2 √2 daƙiƙa
B. Daƙiƙa 1
C. √Daƙiƙa 2
D. daƙiƙa 5
E. 5√2 daƙiƙa
Tattaunawa
An san cewa:
Saurin ƙarshe (v)_t) = 10 m/s
Saurin gudu saboda nauyi (g) = 10 m/s²
Tambaya: Lokacin da ake buƙata don isa tsayin awa 1/2 daga ƙasa
Amsa:
Lissafa tsayin h:
An san cewa v_t kuma g, an tambayi h don haka yi amfani da dabarar motsi ta faɗuwa kyauta v_t² = 2 g h.

Tsawo 1/2 h = 1/2 (mita 5) = mita 2,5. Lokacin da ake buƙata don isa tsayin mita 2,5 daga ƙasa shine:

16. Kalli hoton da ke ƙasa!
Motsin kwakwa da ke faɗuwa (hoto na I) da kuma motsin ƙwallon da ɗalibi ya jefa a tsaye zuwa sama zuwa mafi tsayi (hoto na II) suna da nau'in motsi….
Tattaunawa
Hoto na 1 = motsi na faɗuwa kyauta = motsi mai sauri daidai gwargwado (GLBB)
Hoto na 2 = motsi a tsaye sama = motsi mai sauri iri ɗaya (GLBB) wanda ya ragu
Amsar da ta dace ita ce A.

Tambayoyin motsi na faɗuwa kyauta
1. 'Ya'yan kwakwar suna cirewa daga tushe kuma su isa ƙasa bayan daƙiƙa biyu. Menene saurin kwakwar idan ta faɗi ƙasa? g = 10 m/s²
Amsa:
20 m / s
2. Abu yana faɗuwa cikin sauƙi daga tsayin mita 20 sama da ƙasa. A ƙayyade (a) saurin kwakwa lokacin da ya bugi ƙasa (b) Tazarar lokacin da 'ya'yan itacen za su faɗi har sai sun isa ƙasa.
g = 10 m/s²
Amsa:
(a) = 20 m/s, (b) = daƙiƙa 2
3. Ana jefar da ƙwallo daga wani tsayi. A ƙayyade (a) saurin abin (b) nisan da aka yi tafiya a cikin daƙiƙa 5 (c) tazarar lokacin da abin zai kai gudun m10/s
g = 10 m/s²
Amsa:
(a) = 10 m/s², (b) = mita 125, (c) daƙiƙa 1

[Turanci: Motsin faɗuwa kyauta - matsaloli da mafita]