a neutron of mass 1.67*1o power of (-27)

is moving with a velocity 10 to the power of(6) collides with a deuteron of mass 3.34*10 to the power of (-27) kg at rest .after collision if both have single particle find its velocity

conservation of momentum.

M1V1+M2V2=(M1+M2)Vf solve for Vf

To find the velocity of the neutron and deuteron after the collision, we can make use of the principles of conservation of momentum and kinetic energy.

1. Conservation of momentum:
According to the law of conservation of momentum, the total momentum before the collision should be equal to the total momentum after the collision.

Since the deuteron is initially at rest (velocity = 0), its momentum is initially zero. Therefore, the initial momentum is only from the neutron:

Initial momentum = (mass of neutron) * (velocity of neutron)
= (1.67 * 10^(-27) kg) * (10^6 m/s)

After the collision, both particles combine to form a single particle, so the final momentum is the momentum of this combined particle:

Final momentum = (mass of combined particle) * (velocity of combined particle)
= (mass of neutron + mass of deuteron) * (final velocity)

Using the conservation of momentum equation:

Initial momentum = Final momentum

(1.67 * 10^(-27) kg) * (10^6 m/s) = (mass of neutron + mass of deuteron) * (final velocity)

2. Conservation of kinetic energy:
According to the law of conservation of kinetic energy, the total kinetic energy before the collision should be equal to the total kinetic energy after the collision.

The initial kinetic energy is the kinetic energy of the neutron, given by:

Initial kinetic energy = (1/2) * (mass of neutron) * (velocity of neutron)^2

The final kinetic energy is the kinetic energy of the combined particle, given by:

Final kinetic energy = (1/2) * (mass of combined particle) * (final velocity)^2

Using the conservation of kinetic energy equation:

Initial kinetic energy = Final kinetic energy

(1/2) * (mass of neutron) * (velocity of neutron)^2 = (1/2) * (mass of combined particle) * (final velocity)^2

Now we have two equations with two unknowns (final velocity and mass of combined particle). We can solve these equations to find the desired results.