Misalai 2 na amfani da dokokin Newton ga jiragen sama masu karkata (akwai gogayya)
1. Nauyin tubalin shine kilogiram 2, hanzarin nauyi saboda nauyi = 10 m/s2, ma'aunin gogayya mai motsi da ta tsaye shine 0,2 da 0,1. Shin tonon yana nan ko yana motsi? Idan tonon yana motsi, ƙayyade (a) ƙarfin da ya haifar wanda ke hanzarta tonon (b) girma da alkiblar hanzarin tonon!
Tattaunawa
An sani :
Mass (m) = 2 kg
Saurin gudu saboda nauyi (g) = 10 m/s2
Ma'aunin gogayya mai tsauri = 0,2
Ma'aunin gogayya mai tsauri = 0,1
Nauyin tolo (w) = mg = (2)(10) = 20 Newton
wx = w zunubi 30o = (20)(0,5) = 10 Newton
wy = w cos 30o = (20)(0,5√3) = 10√3 Newtons
Ƙarfin al'ada (N) = wy = 10√3 Newton
Ƙarfin gogayya mai tsayayye (f)s) = (0,2)(10√3) = 2√3 Newtons
Ƙarfin gogayya na motsi (f)k) = (0,1)(10√3) = √3 Newtons
An tambaya : Shin tubalin yana nan ko yana motsi? Idan yana motsi, a tantance ƙarfin da ke haifar da hanzarta tubalin da kuma hanzarta tubalin!
Jawab :
Toshe yana hutawa idan wx < fs, toshe yana motsawa idan wx > fsDomin wx = 10 Newton da fs = 2√3 Newtons, don haka an kammala da cewa toshe yana tafiya ƙasa.
(a) ƙarfin da ke haifar da shi wanda ke hanzarta toshewar
Lokacin da tonon ya motsa, ƙarfin gogayya da ke aiki akan tonon shine ƙarfin gogayya mai motsi (f)k).
(b) girma da alkiblar hanzarin toshewar
Girman saurin toshe shine 4,15 m/s2 kuma alkiblar hanzarta toshewar tana ƙasa.
2. Nauyin tubalin shine kilogiram 4, saurin gudu saboda nauyi shine 10 m/s2. Ma'aunin gogayya mai motsi da ta tsaye sune 0,4 da 0,2. Idan girman ƙarfin F shine 40 Newton, shin toshen yana nan ko yana motsi? Idan toshen yana motsi, ƙayyade (a) ƙarfin da ya haifar da hanzarta toshen (b) girma da alkiblar saurin toshen!
Tattaunawa
An sani :
Mass (m) = 4 kg
Saurin gudu saboda nauyi (g) = 10 m/s2
Ma'aunin gogayya mai tsauri = 0,4
Ma'aunin gogayya mai tsauri = 0,2
Nauyin tolo (w) = mg = (4)(10) = 40 Newton
wx = w zunubi 30o = (40)(0,5) = 20 Newton
wy = w cos 30o = (40)(0,5√3) = 20√3 Newtons
Ƙarfin al'ada (N) = wy = 20√3 Newton
Ƙarfin gogayya mai tsayayye (f)s) = (0,4)(20√3) = 8√3 Newtons
Ƙarfin gogayya na motsi (f)k) = (0,2)(20√3) = 4√3 Newtons
F = 40 Newton
An tambaya : Shin tubalin yana nan ko yana motsi? Idan yana motsi, a tantance ƙarfin da ke haifar da hanzarta tubalin da kuma hanzarta tubalin!
Jawab :
Toshe yana motsawa ƙasa idan F < wx +fsToshe yana motsawa sama idan F > wx +fs. F = 40 Newton, wx = 20 Newton da fs = 8√3 = 13,6 Newtons, don haka an kammala da cewa toshe yana motsawa sama saboda F ya fi w girmax +fs.
(a) ƙarfin da ke haifar da shi wanda ke hanzarta toshewar
Lokacin da tonon ya motsa, ƙarfin gogayya da ke aiki akan tonon shine ƙarfin gogayya mai motsi (f)k).
(b) girma da alkiblar hanzarin toshewar
Girman saurin toshe shine 1,6 m/s2 kuma alkiblar hanzarta toshewar tana sama.
[Turanci: Motsi a kan jirgin sama mai karkata mai ƙarfi tare da ƙarfin gogayya]