In an inertial reference frame F, an orange of inertia \(m_{\text {orange }}\) and velocity \(\vec{v}_{\text {orange }}\) collides totally inelastically with an apple of inertia \(m_{\text {apple }}\) initially at rest.

(a) When this collision is viewed from an inertial reference frame \(G\), the kinetic energy of the orange is unchanged by the collision. What does an observer in the \(\mathrm{F}\) reference frame measure for the velocity of the G reference frame?

(b) For the case where \(m_{\text {orange }}=m_{\text {apple }}\), sketch the velocity vectors of the two objects in each reference frame before and after the collision.