Question

1. a diagram is drawn showing a swing set with a swing pulled backward prior to release. the diagram shows how the swing will move forward and then backward after it is initially released. at which point in the diagram is all of the energy gravitational potential energy? (1 point) as the released swing begins moving backward at the highest point as the swing moves forward just after release of the swing when the swing is pulled back prior to release

Explanation:

Step1: Recall the concept of gravitational potential energy

Gravitational potential energy \(U = mgh\) (\(m\) is mass, \(g\) is acceleration due to gravity, \(h\) is height). When an object is at rest and has the maximum height \(h\) relative to a reference level (usually the lowest point of motion), it has the maximum gravitational potential energy and zero kinetic energy (\(K=\frac{1}{2}mv^{2}=0\) since \(v = 0\)).

Step2: Analyze each option

• As the released swing begins moving backward: At this point, the swing has both kinetic energy (because it is moving, \(v

eq0\)) and gravitational potential energy (since \(h> 0\) relative to the lowest - point).

• At the highest point as the swing moves forward: At the highest point of forward motion, the swing is momentarily at rest (\(v = 0\)), so kinetic energy \(K = 0\). And it has a non - zero height \(h\) relative to the lowest point of the swing's motion. So, all of the mechanical energy (\(E=K + U\)) is gravitational potential energy.
• Just after release of the swing: Just after release, the swing starts to move (\(v>0\)), so it has kinetic energy.
• When the swing is pulled back prior to release: Although the swing is at rest (so \(K = 0\)), if we consider the motion of the swing (the full back - and - forth motion), the highest point of the swing's motion (either at the initial pulled - back position or the highest point of the forward motion) is the same in an ideal case (neglecting air resistance etc.). But the question is about the motion after release. The highest point during the forward motion (after release) is the point where all energy is gravitational potential energy.

Answer:

at the highest point as the swing moves forward