Motsi a kan jirgin sama mai karkata da ƙarfin gogayya - amfani da dokar Newton ta matsalolin motsi da mafita

1. Nauyin abu = 2 kg, hanzari saboda nauyi = 9.8 m/s ² , daidaiton gogayya mai tsauri = 0.2, daidaiton gogayya mai motsi = 0.1. Shin abu yana hutawa ne ko kuma hanzari? Idan abu ya yi sauri, nemo (a) ƙarfin da ke sama (b) girma da alkiblar hanzarin akwatin!

Magani

An sani:

Nauyi (m) = 2 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s ²

Ma'aunin gogayya mai tsauri ( μs ₎ = 0.2

Ma'aunin gogayya ta motsi ( μk ₎ = 0.1

Nauyi (w) = mg = (2)(9.8) = 19.6 Newtons

Sashen kwance na nauyin (w _x ) = w sin 30 ^o = (19.6)(0.5) = 9.8 Newtons

Sashen tsaye na nauyin th (w _y ) = w cos 30 ^o = (19.6)(0.5√3) = 9.8√3 Newtons

Ƙarfin da aka saba (N) = w _y = 9.8√3 Newtons

Ƙarfin gogayya mai motsi (f _s ) = (0.2)(9.8√3) = 1.96√3 Newton = 3.39 Newton

Ƙarfin gogayya mai motsi (f _k ) = (0.1)(9.8√3) = 0.98√3 Newton = 1.69 Newton

Magani:

Abu yana hutawa idan w _x <fs _s , abu yana motsawa ƙasa idan w _x > fs _s.

w _x = 9.8 Newtons da f _s = 3.39 Newtons.

(a) ƙarfin da ba a iya amfani da shi ba

∑ F = w _x – f _k = 9.8 – 1.69 = 8.11 Newtons

(b) girma da alkiblar saurin gudu

∑ F = ma

8.11 = (2) a

a = 4.05 ba

Girman hanzarin = 4.05 m/s ² da kuma alkiblar hanzarin = ƙasa.

[irp]

2. Nauyin abu = 4 kg, hanzari saboda nauyi = 9,8 m/s ^2. Ma'aunin gogayya mai motsi = 0.2 da kuma ma'aunin gogayya mai motsi = 0.4. Girman ƙarfin F = 40 Newtons. Abu yana hutawa ko yana zamewa ƙasa? Idan abu yana zamewa ƙasa, nemo (a) ƙarfin da aka tara (b) girma da alkiblar hanzari!

Magani

An sani:

Nauyi (m) = 4 kg

Saurin gudu saboda nauyi (g) = 9.8 m/s ²

Ma'aunin gogayya mai tsauri ( μs ₎ = 0.4

Ma'aunin gogayya mai motsi ( μk ₎ = 0.2

Nauyi (w) = mg = (4)(9.8) = 39.2 Newtons

Sashen kwance na nauyin (w _x ) = w sin 30 ^o = (39.2)(0.5) = 19.6 Newtons

Sashen tsaye na nauyin (w _y ) = w cos 30 ^o = (392)(0..5√3) = 19.6√3 Newtons

Ƙarfin da aka saba (N) = w _y = 19.6√3 Newtons = 33.95 Newtons

Ƙarfin gogayya mai canzawa (fs ₎ = μs _N = (0,4)(33.95) = 13.58 Newtons

Ƙarfin gogayya na motsi (f _k ) = μ _k N = (0.2)(33.95) = 6.79 Newtons

F = 40 Newton

Magani:

Abu zai zame ƙasa idan F <w _x + fs _s . Abu zai zame sama idan F > w _x + fs _s.

F = Newtons 40, w _x = 19.6 Newtons da f _s = 13.58 Newtons.

_{F ya fi w x} + f _s girma don haka abin ya zame sama.

(a) Ƙarfin da ba a iya amfani da shi ba

∑ F = F – w _x – f _k = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Girma da alkiblar saurin gudu

∑ F = ma

6.4 = (4) a

a = 1.6 ba

Girman saurin gudu shine 1.6 m/s ² kuma alkiblar saurin gudu tana sama.

[irp]

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1. Nauyi da nauyi
2. ƙarfin al'ada
3. Dokar motsi ta biyu ta Newton
4. Ƙarfin gogayya
5. Motsi a saman kwance ba tare da ƙarfin gogayya ba
6. Motsin gawawwaki biyu tare da hanzari iri ɗaya a kan saman kwance mai tsauri tare da ƙarfin gogayya
7. Motsi a kan jirgin sama mai karkata ba tare da ƙarfin gogayya ba
8. Motsi a kan jirgin sama mai karkata da ƙarfin gogayya
9. Motsi a cikin lif
10. Motsin jikin mutum yana da alaƙa da igiyoyi da kuma ƙwallo
11. Jikuna biyu masu girman gudu iri ɗaya
12. Zagaye lanƙwasa mai faɗi - yanayin motsi na zagaye
13. Zagaye lanƙwasa mai banked - yanayin motsi na zagaye
14. Motsi iri ɗaya a cikin da'irar kwance
15. Ƙarfin tsakiya a cikin motsi na zagaye iri ɗaya