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sergiy2304
2 months ago
3

An object initially at rest falls from a height H until it reaches the ground. Two of the following energy bar charts represent

the kinetic energy K and gravitational potential energy Ug of the object-Earth system at two positions. The first position is when the object is initially released, and the second position is when the object is halfway between its release point and the ground. Which two charts could represent the mechanical energy of the object-Earth system? Select two answers. by Ug K Ug к Mechanical Energy at Halfway Point Mechanical Energy at Release Point Mechanical Energy at Release Point Mechanical Energy at Halfway Point d. c. к Ug Ug K Mechanical Energy at Release Point Mechanical Energy at Halfway Point Mechanical Energy at Release Point Mechanical Energy at Halfway Point
Physics
1 answer:
Keith_Richards [3.2K]2 months ago
6 0

Answer:

Initial:   bar  potential U₀

Final:    bar  potential U = U₀ / 2

             bar Kinetic energy  K = U₀ / 2

These two bars represent half the height of the original bar

Explanation:

To discern the correct graph, we must analyze the problem's solution

Initial mechanical energy

      Em₀ = U₀ = m g H

The midpoint's mechanical energy

     Em₂ = K + U₂

As friction is negligible, mechanical energy remains consistent

     Em₀ = Em₂

     U₀ = K + U₂

     K = U₀ - U₂

     K = m g (H - y₂)

This suggests that at position 2, y₂ corresponds to H / 2

     K = m g (H – H / 2)

     K = ½ m g H

     K = ½ Uo

Therefore, the graph must illustrate:

Initial:   bar  potential U₀

Final:    bar  potential U = U₀ / 2

             bar Kinetic energy  K = U₀ / 2

These two bars depict half the height of the initial bar

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