Question

Calculate the velocity of a moving train with a mass 10,000kg and 150,000J of energy.

Answer 1

Kinetic energy possessed by moving train is
`E_k = 150000J`.

And mass
`m = 10000kg`.

The formula for kinetic energy is
`E_k = (m* v^2)/(2)`.

Solve for velocity:


`E_k = (m* v^2)/(2)\implies 2E_k = m* v^2`


`v^2=(2E_k)/(m)\implies \underline{v = \sqrt{(2E_k)/(m)}}`

Now put in the data:


`v = \sqrt{(2*150000J)/(10000kg)}\approx5.48(m)/(s)`