The water stays in the bucket, even at the top of the circular path, as long as the speed exceeds a certain value. Explain why.
I think i have a good answer, but not 100% sure. My answer:
There is a centripetal force acting on the bucket and the water since they are travelling circular motion. In order for the water to remain in the bucket when the bucket is at its highest point, the reaction force of the bucket acting on the water must be greater than the weight, since the centripetal acceleration of the bucket must be greater than the acceleration due to gravity in order to prevent the water from falling out of the bucket.
This can only be achieved above (or equal to) a certain velocity. This velocity is given by:
v= sqrt(g x r) I obtained this formula by equating the centripetal force equation with mg.
Is what i have said correct?