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;
[tex] K.E = \frac{1}{2}MV^{2}[/tex]
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;
[tex] 3000000 = \frac{1}{2}*100000*V^{2}[/tex]
Cross-multiplying, we have;
[tex] 6000000 = 100000V^{2}[/tex]
[tex] V^{2} = \frac{6000000}{100000} [/tex]
[tex] V^{2} = 60 [/tex]
Taking the square root of both sides, we have;
[tex] V = \sqrt {60} [/tex]
V = 7.75 m/s
