Question

Шар,наполненный гелием,поднялся на высоту 600 м. Затем он бел отнесен ветром в горизонтальном направлении на 400 м.Найдите путь шара и модуль перемещения.

Answer 1

1000 м
721,11 м

Answer 2

Calculation of the Path and Displacement of the Balloon

To calculate the path and displacement of the balloon, we need to consider its vertical ascent and horizontal displacement.

Given: - The balloon ascended to a height of 600 m. - It was then carried by the wind horizontally for a distance of 400 m.

To find the path of the balloon, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Let's denote the vertical ascent as 'a' and the horizontal displacement as 'b'.

Using the Pythagorean theorem, we can calculate the path of the balloon:

Path = √(a^2 + b^2)

Substituting the given values:

Path = √(600^2 + 400^2)

Calculating the path:

Path = √(360000 + 160000) = √520000 = 721.11 m

Therefore, the path of the balloon is approximately 721.11 m.

To find the displacement of the balloon, we can use the concept of vector addition. The displacement is the straight-line distance between the starting and ending points of the balloon's motion.

The displacement can be calculated using the formula:

Displacement = √(a^2 + b^2)

Substituting the given values:

Displacement = √(600^2 + 400^2)

Calculating the displacement:

Displacement = √(360000 + 160000) = √520000 = 721.11 m

Therefore, the displacement of the balloon is approximately 721.11 m.

So, the path and displacement of the balloon are both approximately 721.11 m.

Please note that the sources provided do not contain specific information related to this calculation.