Question

Материальная точка массой 2 кг равномерно движется по окружности со скоростью 54 км/ч. Найти изменение импульса за 1/8 периода обращения. Ответ выразить в единицах СИ и округлить до целого числа.

Answer 1

Ответ:

P = m*V

P = 2 кг*54 км/ч = 108 кг*м/с

Answer 2

Calculation of Change in Momentum

To find the change in momentum of an object moving in a circular path, we need to calculate the difference in momentum between two points in the motion. In this case, we are interested in finding the change in momentum over 1/8th of a period of revolution.

The formula for momentum is given by:

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

Given: - Mass of the object (m) = 2 kg - Velocity of the object (v) = 54 km/h

To calculate the change in momentum, we need to convert the velocity from km/h to m/s, as the SI unit of momentum is kg·m/s.

Conversion of Velocity from km/h to m/s

To convert the velocity from km/h to m/s, we can use the following conversion factor:

1 km/h = 1000 m/3600 s

Therefore, the velocity in m/s is:

Velocity (v) = 54 km/h × (1000 m/3600 s) = 15 m/s

Now that we have the velocity in m/s, we can calculate the change in momentum.

Calculation of Change in Momentum

The change in momentum can be calculated using the formula:

Change in Momentum (Δp) = Final Momentum - Initial Momentum

Since the object is moving in a circular path, the magnitude of the velocity remains constant. Therefore, the initial and final momenta will have the same magnitude, but they will differ in direction.

In this case, we are interested in finding the change in momentum over 1/8th of a period of revolution. Since the period of revolution is not given, we cannot calculate the exact change in momentum. However, we can calculate the change in momentum per unit time.

The period of revolution (T) can be calculated using the formula:

T = 2πr / v

where r is the radius of the circular path.

Unfortunately, the radius of the circular path is not provided in the question. Without this information, we cannot calculate the period of revolution or the exact change in momentum over 1/8th of a period.

However, if the radius of the circular path is provided, we can calculate the period of revolution and then determine the change in momentum over 1/8th of that period.

Please provide the radius of the circular path so that we can proceed with the calculation.