Question

Автомобіль маса якого 2т рухається по колу зі швидкістю 54км год. знайдіть модуль зміни імпульсу автомобіля за час проходження однієї чверті кола.

Answer 1

Дано m=2000 кг   Vo=54 км/ч=15 м/с    t=T/4

за четверть периода угол поворота составит 90 градусов

P=√Po²+Po²=Po√2=mVo√2=2000*15*√2=42400 кг*м/с

Answer 2

Calculation of Change in Momentum of the Car

To find the change in momentum of the car as it travels one-quarter of the circle, we need to calculate the initial momentum and final momentum of the car and then find the difference between them.

Initial Momentum of the Car

The initial momentum of an object is given by the product of its mass and velocity. In this case, the mass of the car is 2 tons, which is equivalent to 2000 kg, and the velocity is 54 km/h.

Converting the velocity from km/h to m/s: - 1 km/h = 1000 m/3600 s = 5/18 m/s

Therefore, the initial velocity of the car is: - 54 km/h = (54 * 5/18) m/s = 15 m/s

The initial momentum of the car is then: - Initial momentum = mass * initial velocity = 2000 kg * 15 m/s

Final Momentum of the Car

To find the final momentum of the car after it has traveled one-quarter of the circle, we need to consider the change in direction of the velocity. As the car moves in a circle, its velocity is constantly changing direction, but its speed remains constant.

Since the car has traveled one-quarter of the circle, it has covered 90 degrees of the total 360 degrees. This means that its final velocity will be perpendicular to its initial velocity.

Therefore, the final velocity of the car is: - Final velocity = 0 m/s (perpendicular to the initial velocity)

The final momentum of the car is then: - Final momentum = mass * final velocity = 2000 kg * 0 m/s

Change in Momentum of the Car

The change in momentum of the car is given by the difference between the initial momentum and the final momentum.

- Change in momentum = Final momentum - Initial momentum

Substituting the values we calculated earlier: - Change in momentum = (2000 kg * 0 m/s) - (2000 kg * 15 m/s)

Simplifying the equation: - Change in momentum = -30000 kg m/s

Answer

The module of the change in momentum of the car, as it travels one-quarter of the circle, is 30000 kg m/s.

[[1]]