Question

Тело массой 5,2 кг равномерно движется по окружности со скоростью 1,2 м/с. Вычисли модуль изменения импульса тела за половину периода.(Ответ округлите до сотых)

Answer 1

Импульс не изменился по абсолютной величине, но изменился по направлению.Модуль вектора изменения импульса11.3 кг*м/с

Answer 2

Calculation of the Change in Momentum

To calculate the change in momentum of an object moving in a circular path, we need to consider the formula for momentum and the properties of circular motion.

The formula for momentum is given by:

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

In this case, the mass of the object is given as 5.2 kg, and the velocity is given as 1.2 m/s.

To calculate the change in momentum over half a period, we need to consider that the object is moving in a circular path. In circular motion, the velocity is constantly changing, but the speed remains constant. The velocity vector is always tangent to the circular path, and the change in velocity is perpendicular to the velocity vector.

Since the speed remains constant, the change in momentum is equal to the mass multiplied by the change in velocity. The change in velocity is equal to the difference between the initial and final velocities.

To calculate the change in velocity, we need to consider that the object completes one full revolution in a period. Therefore, the change in velocity over half a period is equal to the initial velocity minus the final velocity.

Let's calculate the change in momentum:

Change in momentum = mass × (initial velocity - final velocity)

Given: - Mass (m) = 5.2 kg - Initial velocity (v1) = 1.2 m/s - Final velocity (v2) = ?

To find the final velocity, we need to consider that the object completes one full revolution in a period. Therefore, the final velocity is equal to the negative of the initial velocity.

Final velocity (v2) = -1.2 m/s

Substituting the values into the formula:

Change in momentum = 5.2 kg × (1.2 m/s - (-1.2 m/s))

Simplifying the equation:

Change in momentum = 5.2 kg × (1.2 m/s + 1.2 m/s)

Change in momentum = 5.2 kg × 2.4 m/s

Change in momentum = 12.48 kg·m/s

Rounding to the nearest hundredth:

Change in momentum ≈ 12.48 kg·m/s

Therefore, the module of the change in momentum of the body over half a period is approximately 12.48 kg·m/s.