When an object of mass m moving with velocity v collides with an object of mass m moving with velocity v and sticks to it, then the law of conservation of momentum states that mv + mv = (m+m)u where u is the final velocity of the combined object. solve this equation for m in terms of the other quantities. (this equation gives the recoil when you fire a gun.)

m = M (u-V)/(v-u)

Step-by-step explanation:

We know that:

If we sum -mu to both sides of the equation we get:

Now let's sum -MV  to both sides:

Now we can factor the m and M terms:

Finally we can divide by v-u ***

Since (v-u)/(v-u) =1

m = M (u-V)/(v-u)

***

If u=v it will imply that V=u and tehrefore the two mases will travel with the same velocity to the same direction and no collision would take place

***

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25