Question

Найти кинетическую энергию поезда массой 1000 т имеющего скорость 54 км/ч

Answer 1

54 км/ч = 15 м/с
1000т=1000000кг=10^6кг
E=(mv^2)/2=(10^6кг*15м/c)/2=7,5*10^6Дж=7,5МДж

Answer 2

Calculation of Kinetic Energy

To calculate the kinetic energy of a train, we can use the formula:

Kinetic Energy = (1/2) * mass * velocity^2

Given: - Mass of the train = 1000 tons - Velocity of the train = 54 km/h

First, we need to convert the mass from tons to kilograms. Since 1 ton is equal to 1000 kilograms, the mass of the train is 1000 * 1000 = 1,000,000 kilograms.

Next, we need to convert the velocity from km/h to m/s. Since 1 km/h is equal to 1000/3600 m/s, the velocity of the train is 54 * (1000/3600) = 15 m/s.

Now, we can substitute the values into the formula to calculate the kinetic energy:

Kinetic Energy = (1/2) * 1,000,000 kg * (15 m/s)^2

Calculating the square of the velocity: 15^2 = 225 m^2/s^2

Substituting the values into the formula: Kinetic Energy = (1/2) * 1,000,000 kg * 225 m^2/s^2

Simplifying the equation: Kinetic Energy = 112,500,000 kg * m^2/s^2

Therefore, the kinetic energy of the train is 112,500,000 joules (J).

Please note that the calculation assumes the train is moving in a straight line without any additional factors affecting its motion.