Kinetic energy

Question

if a baseball velocity is increased to five time is it original velocity, by what factor its kinetic energy increase?

Answer 1

We know that kinetic energy is calculated using the equation:

 

KE = (1/2)mv²

 

To find out how much the energy changes if the velocity is increased by five times, we must replace v with 5v like this:

 

KE = (1/2)m(5v)²

KE = (1/2)m(25)v²

KE = (25)(1/2)mv²

 

and compared to the original equation, we can see that the energy is increased by a factor of 25.