A ball moving with a speed of 9 m/s strikes an identical stationary ball such that after the collision the dierection of each ball makes an angle of 30° with the original line of motion. Find the speeds of the two balls after the collision.

u1 =9m/s,u2 =0

Initial momentum = Final momentum along original line of motion Mx9+mx0=mv1cos30+mv2 cos30
v1 +v2 =6√3m/s
Direction perpendicular to the original line
0 = mv1sin30 – mv2sin30
v1 = v2
v1 =v2 =3√3m/s
Total K.E before collision = 1⁄2 x mx 92
= 40.5 m
After collision = 1⁄2 mx (3√3)2 + 1⁄2 x m x (3√3)2
= 27 m K.E is not conserved.

Nothing helped to me as the question asked i.e, is it elastic oe inelastic but no on has answered this question so just stupid

Thnx a lot for ur help 😊......

To find the speeds of the two balls after the collision, we can use the principles of conservation of momentum and conservation of kinetic energy.

Let's denote the initial ball (moving ball) as ball 1, with a mass of m1 and a speed of u. The second ball (stationary ball) will be referred to as ball 2, with a mass of m2 and a speed of v.

Conservation of momentum states that the total momentum before the collision is equal to the total momentum after the collision. Since the second ball is initially at rest, the momentum of ball 2 is zero.

Therefore, we have:

m1 * u = m1 * v1 + m2 * v2 (Equation 1)

where v1 and v2 are the speeds of ball 1 and ball 2 after the collision, respectively.

Now, let's consider the conservation of kinetic energy. The kinetic energy before the collision is given by:

1/2 * m1 * u^2

The kinetic energy after the collision is the sum of the kinetic energies of both balls:

1/2 * m1 * v1^2 + 1/2 * m2 * v2^2 (Equation 2)

Since the mass of both balls is identical (identical stationary balls), we can rewrite Equation 1 as:

u = v1 + v2 (Equation 3)

To solve this system of equations, we need additional information. Specifically, the angle between the line of motion and the direction of each ball after the collision.

Could you provide the angle between the line of motion and the direction of each ball after the collision?

u1=9m/s, u2=0

along the vertical,
mv1sin30-mv2sin30=0
v1=v2
along the horizontal,
mv1cos30+mv2cos30=