Question

Звуковой сигнал, посланный от середины теплохода, достигает его носа через 0,103 с, а кормы через 0,097 с. Длина теплохода 68 м. Определить скорость теплохода, движущегося равномерно в море. Ответ ввести в м/с, округлив до целых.

Answer 1

1)
Скорости звуковых сигналов:
V₁ = 34 / 0,103 ≈ 330 м/с
V₂ = 34 / 0,097 ≈ 350 м/с
2)
Скорость звука в воздухе примем за
V = 340 м/с
3)
По формуле эффекта Доплера:
Vтеп = V*(1 - V₁/V₂) = 340*(1 - 330/340)  = 10 м/с     или   36 км/ч

Answer 2

Problem Analysis

We are given that a sound signal sent from the middle of a ship reaches the bow (front) in 0.103 seconds and the stern (back) in 0.097 seconds. The length of the ship is 68 meters. We need to determine the speed of the ship, assuming it is moving uniformly in the sea.

Solution

To solve this problem, we can use the formula for speed:

Speed = Distance / Time

The distance traveled by the sound signal is equal to the length of the ship. Let's calculate the speed.

Calculation

Given: - Time taken for the sound signal to reach the bow (front) = 0.103 seconds - Time taken for the sound signal to reach the stern (back) = 0.097 seconds - Length of the ship = 68 meters

Using the formula for speed, we can calculate the speed of the ship.

Speed = Distance / Time

The distance traveled by the sound signal is equal to the length of the ship, which is 68 meters.

For the sound signal reaching the bow: Speed = 68 meters / 0.103 seconds

For the sound signal reaching the stern: Speed = 68 meters / 0.097 seconds

Let's calculate the speeds.

For the sound signal reaching the bow: Speed = 68 meters / 0.103 seconds = 660.194 meters/second

For the sound signal reaching the stern: Speed = 68 meters / 0.097 seconds = 701.031 meters/second

Since the ship is moving uniformly, the speed of the ship is the average of the speeds calculated above.

Average Speed = (660.194 + 701.031) / 2 = 680.6135 meters/second

Rounding this to the nearest whole number, the speed of the ship is approximately 681 meters/second.

Answer

The speed of the ship, moving uniformly in the sea, is approximately 681 meters/second.