To find kinetic energy from momentum, you can use the following relationship between kinetic energy (KE) and momentum (p). The formula for momentum is:
p = mv
Where m is the mass and v is the velocity of the object. The formula for kinetic energy is:
KE = 0.5mv2
By rearranging the momentum formula to express velocity in terms of momentum and mass, you have:
v = p/m
Now, substitute this expression for velocity back into the kinetic energy equation:
KE = 0.5m(v2)
Replacing v with p/m, we get:
KE = 0.5m(p/m)2
Which simplifies to:
KE = 0.5m(p2/m2)
After simplifying further, the equation becomes:
KE = p2 / (2m)
This formula now allows you to calculate the kinetic energy of an object if you know its momentum and mass. So, whenever you have the momentum value along with the mass, just plug those values into this formula and you will find the kinetic energy.