Respuesta :
Answer:
[tex]\Delta E=2.87\times 10^6\ J[/tex]
Explanation:
It is given that,
Depth of Death valley is 85 m below sea level, [tex]h_i=-85\ m[/tex]
The summit of nearby Mt. Whitney has an elevation of 4420 m, [tex]h_f=4420\ m[/tex]
Mass of the hiker, m = 65 kg
We need to find the change in potential energy. It is given by :
[tex]\Delta E=mg(h_f-h_i)[/tex]
[tex]\Delta E=65\times 9.8(4420-(-85))[/tex]
[tex]\Delta E=2869685\ J[/tex]
or
[tex]\Delta E=2.87\times 10^6\ J[/tex]
So, the change in potential energy of the hiker is [tex]2.87\times 10^6\ J[/tex]. Hence, this is the required solution.
The potential energy of the hiker is equal to 2.87 x 10^6 J.
Potential energy
To calculate the potential energy of a body it is necessary to relate its mass, height and gravity, so that:
[tex]E_p = mg[/tex]Δ[tex]h[/tex]
Thus, using the values given by the question, we have that:
[tex]E_p = 65 \times 9.8\times (4420 + 85)[/tex]
[tex]E_p= 2869685J = 2.87 \times 10^{6}J[/tex]
So, the potential energy of the hiker is equal to 2.87 x 10^6 J.
Learn more about potential energy in: brainly.com/question/14509624
