Question

Паралельними коліями у зустрічних напрямках рухаються 2 потяги.Товарний довжиною 600м. і швидкість 15м\с,пасажирський довжиною 240м і шв. 25 м\с.Через який час вони пройдуть один повз іншого

Answer 1

Скорость сближения поездов 25+15 = 40 м/с
Суммарная длина поездов 600+ 240 = 840 м
Если считать один поезд за систему координат, то он неподвижен относительно себя. а второй проезжает 840 метров со скоростью 40 м/с
за 840/40 = 21 с.

Ответ 21 с.

Answer 2

Calculation of Time for Trains to Pass Each Other

To calculate the time it takes for the two trains to pass each other, we can use the concept of relative speed.

Relative Speed: When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds.

The formula to calculate the time it takes for the trains to pass each other is: Time = Distance / Relative Speed

Let's calculate the time it takes for the trains to pass each other.

Calculation for the Freight Train:

The freight train has a length of 600 meters and a speed of 15 m/s.

Calculation for the Passenger Train:

The passenger train has a length of 240 meters and a speed of 25 m/s.

Relative Speed:

When the trains are moving in opposite directions, their relative speed is the sum of their individual speeds.

Relative Speed = Speed of Freight Train + Speed of Passenger Train

Relative Speed = 15 m/s + 25 m/s

Relative Speed = 40 m/s

Time Taken for the Trains to Pass Each Other:

Now, we can use the formula to calculate the time it takes for the trains to pass each other.

Time = (Length of Freight Train + Length of Passenger Train) / Relative Speed

Time = (600 m + 240 m) / 40 m/s

Time = 840 m / 40 m/s

Time = 21 seconds

Therefore, the two trains will pass each other in 21 seconds.