Take the common case where a moving object of inertia \(m_{\text {moving }}\) collides with a stationary object of inertia \(m_{\text {rest }}\).

(a) Show that the fraction of kinetic energy not convertible in the collision is \(m_{\text {moving }} /\left(m_{\text {moving }}+m_{\text {rest }}\right)\). Interpret for the case where \(m_{\text {rest }} \gg m_{\text {moving }}\) and for the case where \(m_{\text {rest }} \ll m_{\text {moving. }}\)

(b) Does the value of the fraction depend on the elasticity of the collision?

(c) Why is this energy not convertible?