An elementary student of mass m $=26$ ?kg is swinging on a swing. The length from the top of the swing set to the seat is L $=4\mathrm{.}2$ ?m$.$ ?The child is attempting to swing all the way around in a full circle. What is the minimum speed, in meters per second, the child must be moving with at the top of the path to make a full circle?

Assuming the child is traveling at the speed found in part $($a$),$ ?what is their apparent weight, Wa in newtons, at the top of their path? $($At the top, the child is upside$-$down.$)$ ?If the velocity at the very top is the same velocity from part $($a$),$ ?what is the child's apparent weight, in newtons, at the very bottom of the path?

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