A child is swinging back and forth on a tire swing that is attached to a tree br

Question

A child is swinging back and forth on a tire swing that is attached to a tree branch by a single rope. The child swings from right to left and has a speed of 2 m/s at a position just to the right of the lowest position, and the same speed of 2 m/s at a position just to the right of the lowest position. Three students are discussing the tension in the rope at the bottom of the swing (the lowest position).

Ayliah: At the bottom of the swing, the child will be moving exactly horizontally.
Since she is not moving vertically at that instant, the vertical forces cancel.
The tension in the rope at that instead equals the weight.

Blaise: Just looking at the velocity vectors, the change in velocity points upward
between A and B. So that is the direction of the acceleration, and also of
the net force. To get a net force pointing upward, the tension would have to
be a greater than the weight.

Conrad: But there aren

Explanation / Answer

ayliah = wrong

blaise = correct

T = m*v*v/r + mg

cpnrad = wrong

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