Two masses hang next to each other from a support. Each mass has a pendulumlength R = 30 cm. Object A is raised to a 66 degree angle with respect to vertical andallowed to fall as a pendulum, eventually colliding elastically with object B. Letobject A have a mass ma=45g and object B have mass mb=65g.For all answers, work symbolically and then plug in numbers at the end.(a) What is the velocity of the object A before the collision? (Ignore the physicalsize of A and B, that is, assume y = 0 for both during the collision)(b) What quantities are conserved during the collision?(c) What are the maximum heights of each object after the collision?

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