(1) When Emma is standing at the top of the mountain, the energy encountered is potential energy.
(2) When Emma is jumping down from the mountain top, the energy encountered is both kinetic energy and potential energy.
(3) The energy creating the tensional force on the rope at Emma’s lowest position is elastic potential energy.
(4) When Emmas is bouncing back, he will encounter both kinetic energy and potential energy.
Conservation of energy
The energy encountered by Emma and the rope at each point is determined from the principle of conservation of mechanical energy.
1.0 Emma standing on top of mountain
When Emma is standing at the top of the mountain, the energy encountered is potential energy this is due to his position above the ground level.
P.E = mgh
2.0 Emma jumping down from mountain top
When Emma is jumping down from the mountain top, the energy encountered is both kinetic energy and potential energy. This is as a result of his position above the ground level and his motion downwards.
M.A = K.E + P.E
3.0 Tension in rope at Emma’s lowest position
The energy creating the tensional force on the rope at Emma’s lowest position is elastic potential energy.
U = ¹/₂kx²
4.0 Emma bouncing back
When Emmas is bouncing back, he will encounter both kinetic energy and potential energy due to his motion and position above the ground.
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