14. Derive a relation for the escape velocity of an object, launched from the center of a proto-star cloud. The cloud has uniform density with the mass M and radius R. Ignore collisions between the particles of the cloud and the launched object. You are given the fact that if the object were allowed to fall freely from the surface, it would reach the center GM with a velocity equal to (109 - T06 - C) VR 14. Derive a relation for the escape velocity of an object , launched from the center of a proto - star cloud . The cloud has uniform density with the mass M and radius R. Ignore collisions between the particles of the cloud and the launched object . You are given the fact that if the object were allowed to fall freely from the surface , it would reach the center GM with a velocity equal to √GM/R​