if a clown lets go of a rope that has an object attached to it traveling in a circular motion, what will happen to the object

3 answers

Newtons first law: it continues in a straight path, or in the direction it was moving at the time of release. That path is tangent to the circle it was moving in.
It will follow the trajectory of a projectile that has an initial velocity equal to the velocity it had when it was released. The trajectory will be a parabola, and it will eventually hit the ground.
I agree with Dr WLS, I ignored gravity, but gravity will force it in a parabolic path downward.