*Two objects, mi and ma, have an elastic collision. The initial velocity of mi is +8.0 m/s and of m2 is -4.0 m/s. After the collision, the velocity of m, is +5.0m/s. What is the velocity of m2?

Two objects, mi and ma, have an elastic collision. The initial velocity of mi is +8.0 m/s and of m2 is -4.0 m/s. After the collision, the velocity of m, is +5.0m/s. What is the velocity of m2?

Brainly Ginny character avatar

AI-generated answer

After the collision, both momentum and kinetic energy are conserved in an elastic collision.

1. Calculate the total initial momentum of the system:

Initial momentum = mivi + mava

Initial momentum = mivi + mava = (mi 8.0) + (ma -4.0)

2. Calculate the total final momentum of the system:

Final momentum = mivf + mavf

Final momentum = mivf + mavf = (mi 5.0) + (ma vm2)

3. Since momentum is conserved, the initial momentum equals the final momentum:

mi8.0 + ma(-4.0) = mi5.0 + mavm2

4. Substitute the given values into the equation and solve for vm2:

mi8.0 + ma(-4.0) = mi5.0 + mavm2

8.0mi - 4.0ma = 5.0mi + vm2*ma

3.0mi = vm2*ma

vm2 = 3.0mi / ma

Therefore, the velocity of m2 (vm2) after the collision is 3.0 times the initial velocity of m1 (mi) divided by the mass of m2 (ma).