Question

СРОЧНО!!! шар массой 1 кг равномерно движется по окружности со скоростью 10м/с Найти изменение импульса за 3 четверть периода

Answer 1

3/4 периода,а период= один оборот, тогда w=(3/4*360)/t=270/t
aц=v*w=10*270/t
F=aц*m=2700*1/t= 2700/t
изменения импульса дельта Р = Ft
P= 2700t/t= 2700 Н* с

Answer 2

Calculation of Change in Momentum

To find the change in momentum of a 1 kg mass moving uniformly in a circle with a speed of 10 m/s over three-quarters of a period, we can use the formula for momentum:

Momentum (p) = mass (m) × velocity (v)

The change in momentum can be calculated by subtracting the initial momentum from the final momentum:

Change in momentum (Δp) = Final momentum (pf) - Initial momentum (pi)

Since the mass remains constant at 1 kg, we only need to calculate the change in velocity.

Calculation of Initial Momentum

The initial momentum (pi) can be calculated using the initial velocity (vi) and the mass (m):

Initial momentum (pi) = mass (m) × initial velocity (vi)

In this case, the initial velocity is 10 m/s, so the initial momentum is:

Initial momentum (pi) = 1 kg × 10 m/s = 10 kg·m/s.

Calculation of Final Momentum

To calculate the final momentum (pf), we need to find the final velocity (vf). Since the object is moving uniformly in a circle, the final velocity is equal to the initial velocity.

Final momentum (pf) = mass (m) × final velocity (vf)

The final velocity is also 10 m/s, so the final momentum is:

Final momentum (pf) = 1 kg × 10 m/s = 10 kg·m/s.

Calculation of Change in Momentum

Now we can calculate the change in momentum (Δp) by subtracting the initial momentum from the final momentum:

Change in momentum (Δp) = Final momentum (pf) - Initial momentum (pi)

Change in momentum (Δp) = 10 kg·m/s - 10 kg·m/s = 0 kg·m/s

Therefore, the change in momentum over three-quarters of a period is 0 kg·m/s.

Please note that the change in momentum is zero because the final velocity is the same as the initial velocity.