
2. Длинным полярным днем вокруг Северного полюса Земли идет белый медведь. Траектория его движения
представляет собой окружность, центр которой – Северный полюс, а радиус равен 20 км. С какой скоростью и в каком направлении должен идти медведь, чтобы все время видеть Солнце в одном и том же положении на небе?

Ответы на вопрос




The Polar Bear's Movement Around the North Pole
The polar bear's trajectory around the North Pole can be represented as a circle, with the North Pole as its center and a radius of 20 km. The bear needs to move at a specific speed and in a specific direction in order to always see the Sun in the same position in the sky.
To determine the speed and direction, we need to consider the rotation of the Earth and the movement of the Sun. The Earth rotates on its axis, causing the Sun to appear to move across the sky. The polar bear needs to move in such a way that it compensates for this apparent movement of the Sun.
Speed and Direction of the Polar Bear
To calculate the speed and direction of the polar bear, we need to consider the following factors:
1. Rotation of the Earth: The Earth rotates once every 24 hours, causing the Sun to appear to move across the sky. This means that the polar bear needs to move at a speed that compensates for this rotation.
2. Latitude: The polar bear is located at the North Pole, which is at a latitude of 90 degrees. At this latitude, the polar bear needs to move at a speed that matches the rotational speed of the Earth at that latitude.
3. Circumference of the Circle: The circumference of the circle that the polar bear is moving on can be calculated using the formula: circumference = 2 * π * radius. In this case, the radius is 20 km, so the circumference is approximately 125.66 km.
4. Time: The polar bear needs to complete one full circle around the North Pole in 24 hours, which is the time it takes for the Earth to complete one rotation. Therefore, the polar bear needs to move at a speed that allows it to cover the circumference of the circle in 24 hours.
Based on these factors, we can calculate the speed of the polar bear using the formula: speed = distance / time. In this case, the distance is the circumference of the circle (125.66 km) and the time is 24 hours.
Using this formula, we can calculate the speed of the polar bear:
speed = 125.66 km / 24 hours ≈ 5.24 km/h
Therefore, the polar bear needs to move at a speed of approximately 5.24 km/h in order to always see the Sun in the same position in the sky.
Direction of the Polar Bear
The direction in which the polar bear needs to move can be determined by considering the rotation of the Earth. Since the Earth rotates from west to east, the polar bear needs to move in the opposite direction, from east to west, in order to compensate for this rotation.
Therefore, the polar bear needs to move in a westward direction in order to always see the Sun in the same position in the sky.
In summary, the polar bear needs to move at a speed of approximately 5.24 km/h in a westward direction in order to always see the Sun in the same position in the sky.


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