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**1. Homework Statement**

a projectile of mass M explodes into three fragments while in flight at velocity v. one fragment of mass M/2 travels in the original direction, one of mass 3M/10 comes to rest and the third fragment of mass M/5 travels in the opposite direction. The energy released in the explosion equals to 4.75 times the kinetic energy of the projectile before explosion. What are the velocities of the fragments?

**2. Homework Equations**

according to my calculations,

Mv (momentum before explosion) = M/2*v1 + M/5*v2 ... since 3M/10 comes to rest. its velocity is zero.

and .. for kinetic energy,

1/2 Mv^2 * 4.75 = 1/2 M/2 *v1^2 + 1/2 M/5 *v2^2.

from these equations we get,

v = v1/2 + v2/5 and 4.75v^2 = v1^2/4 + v2^2/10

Now.. how are these to be solved??? in terms of v?

**3. The Attempt at a Solution**

I hope the formation of the above two equations is correct?

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**