Question

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

Answer 1

Answer:

V = 7.75 meters per seconds.

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;

$K.E = \frac{1}{2}MV^{2}$

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;

$3000000 = \frac{1}{2}*100000*V^{2}$

Cross-multiplying, we have;

$6000000 = 100000V^{2}$

$V^{2} = \frac{6000000}{100000}$

$V^{2} = 60$

Taking the square root of both sides, we have;

$V = \sqrt {60}$

V = 7.75 m/s