The momentum of the body is 12 kg * m / s, and the kinetic energy is 18 J. Find the mass and velocity of the body.

We know the formula for the momentum of the body p = mv / t and from the course of the 7th grade we know the formula for the kinetic energy Ek = mv ^ 2/2
Substituting the numbers, we get
12 = mv / t 18 = mv ^ 2/2
Since the values ​​of m and v are the same in the formula for the momentum of the body and kinetic energy, we can equalize by first translating 2 to 18 and t to 12, we get this expression
12t = 36
t = 3
Eventually
36 = mv
36 = mv ^ 2
Equate
mv = mv ^ 2
m shrinks
v = v ^ 2
In this case, v takes 2 values:
0; 1
Substitute
36 = m * 0, if any number is multiplied by 0, then 0 will come out, so the option with v = 0 disappears
And we have only one option left, 1. Substitute
36 = m * 1
m = 36/1 = 36
36 = m * 1 ^ 2
m = 36/1 = 36
Answer
m = 36 kg
v = 1 m / s