Momentum va impuls – muammolar va yechimlar

1. A small ball is thrown horizontally with a constant speed of 10 m/s. The ball hits the wall and reflected with the same speed. What is the change in chiziqli momentum to'pningmi?

Ma'lum:

Mass (m) = 0.2 kg

Boshlang'ich tezlik (v)_o) = -10 m/s

Yakuniy tezlik (v)_t) = 10 m/s

Plyus va minus belgilari jismlarning qarama-qarshi yo'nalishda harakatlanishini ko'rsatadi.

Wanted : the change in linear momentum (Δp)

yechim:

Formula of the change in linear momentum :

Δp = mv_t – mv_o = m (v)_t - v_o)

The change in linear momentum :

Δp = 0.2 (10 – (-10)) = 0.2 (10 + 10)

Δp = 0.2 (20)

dp = 4 kg m/s

2. A 10-gram ball falls freely from a height, hits the floor at 15 m/s, then reflected upward at 10 m/s. Determine the impulse!

Ma'lum:

Mass (m) = 10 gram = 0.01 kg

Boshlang'ich tezlik (v)_o) = -15 m/s

Yakuniy tezlik (v)_t) = 10 m/s

Qidirilgan: Impuls (I)

yechim:

The impulse (I) equals the change in momentum (Δp)

I = m v_t – mv_o = m (v)_t - v_o)

Impulse :

I = 0.01 (10 – (-15)) = 0.01 (10 + 15)

I = 0.01 (25)

I = 0.25 kg m/s

3. A 200-gram ball thrown horizontally with a speed of 4 m/s, then the ball was hit in the same direction. The duration of the ball in contact with the bat is 2 milliseconds and the ball speed after leaving the bat is 12 m/s. The magnitude of kuch harakat qilgan by the batter on the ball is …

Ma'lum:

Mass (m) = 200 gram = 0.2 kg

Boshlang'ich tezlik (v)_o) = 4 m/s

Yakuniy tezlik (v)_t) = 12 m/s

Time interval (t) = 2 milliseconds = (2/1000) seconds = 0.002 seconds

Wanted : The magnitude of the force (F)

yechim:

Formula of impulse :

I = F t

Formula of the change in momentum :

mv_t – mv_o = m (v)_t - v_o)

The impulse (I) equals the change in momentum (Δp)

I = Δp

F t = m (v_t - v_o)

F (0.002) = (0.2)(12 – 4)

F (0.002) = (0.2)(8)

F (0.002) = 1.6

F = 1.6 / 0.002

F = 800 Nyuton

[wpdm_package id='1155']

1. Chiziqli momentum muammolari va yechimlari
2. Momentum va impuls muammolari va ularning yechimlari
3. Bir oʻlchovli masalalar va yechimlarda mukammal elastik toʻqnashuvlar
4. Bir o'lchovli muammolar va yechimlarda mukammal elastik bo'lmagan to'qnashuvlar
5. Bir o'lchovli muammolar va yechimlardagi noelastik to'qnashuvlar