Question

A train has a mass of 100000 kilograms.if its kinetic energy is 3mj what velocity is it travelling at​

Answer 1

V = 7.75 meters per seconds.

Step-by-step explanation:

Given the following data;

Mass = 100000 Kilograms

Kinetic energy = 3 Megajoules = 3 * 10⁶ Joules

To find the velocity of the train;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

`K.E = (1)/(2)MV^(2)`

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Substituting into the formula, we have;

`3000000 = (1)/(2)*100000*V^(2)`

Cross-multiplying, we have;

`6000000 = 100000V^(2)`

`V^(2) = (6000000)/(100000)`

`V^(2) = 60`

Taking the square root of both sides, we have;

`V = \sqrt {60}`

V = 7.75 m/s