Question

The energy truck travelling at 10 km/h has kinetic energy. How much kinetic energy does it have when it is loaded so its mass is twice and its speed is increased to twice?​

Answer 1

Step-by-step explanation:

The initial kinetic energy
`KE_0` is

`KE_0 = (1)/(2)m_0v_0^2`

When its mass and velocity are doubled, its new kinetic energy KE is

`KE = (1)/(2)(2m_0)(2v_0)^2 = (1)/(2)(2m_0)(4v_0^2)`

`\:\:\:\:\:\:\:= 8 \left((1)/(2)m_0v_0^2 \right)= 8KE_0`

Therefore the kinetic energy will increase by a factor of 8.