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*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 80 Ms And Of M2 Is 40 Ms After The Collision The Velocity Of M Is 50ms What Is The class=

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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?

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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).

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