Question

Derive expression of velocities of two bodies in the 1 dimension elastic collision, after the collision Also discuss various special cases
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Answer 1

Answer:

By the end of this section, you will be able to:

Describe an elastic collision of two objects in one dimension.

Define internal kinetic energy.

Derive an expression for conservation of internal kinetic energy in a one dimensional collision.

Determine the final velocities in an elastic collision given masses and initial velocities.

Answer 2

Explanation:

If two particles are involved in an elastic collision, the velocity of the second particle after collision can be expressed as: v2f=2⋅m1(m2+m1)v1i+(m2−m1)(m2+m1)v2i v 2 f = 2 ⋅ m 1 ( m 2 + m 1 ) v 1 i + ( m 2 − m 1 ) ( m 2 + m 1 ) v 2 i .