What happens when a light sphere collides head-on with a more mas… - Vidyadip

Question

What happens when a light sphere collides head-on with a more massive sphere initially at rest?

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Answer

Let the sphere A be of mass m₁ moving with velocity v₁ collide head-on with another sphere B of mass m at rest. If v₁ and v₂ are the velocities of spheres after head-on collision,$\text{v}_1=\Big(\frac{\text{m}_1-\text{m}_2}{\text{m}_1+\text{m}_2}\Big)\mu_1\dots(\text{i})$
and $\text{v}_2=\Big(\frac{2\text{m}_1}{\text{m}_1+\text{m}_2}\Big)\dots(\text{ii})$
Since m₁ << m₂ from (i) we have
V₁ = -u₁ and from (ii) v₂ is very small almost zero. In other words light sphere rebounds with nearly the same velocity whereas massive sphere remains stationary.

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