A hiker, of mass 80 kg walks up a mountain, 700 m above sea level, to spend the night at the top in the first overnight hut. The second day she walks to the second overnight hut, 400 m above sea level. The third day she returns to her starting point, 200 m above sea level.
How much potential energy has the hiker lost in the second day?
m * g * Δh = 80 kg * 9.8 m/s^2 * (700 m - 400 m) = ? Joules
idk idk idk idk idk idk idk idk idk idk idk idk idk idk idk idk idk!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
To calculate the potential energy lost by the hiker on the second day, we need to find the change in height. This can be calculated by finding the difference between the height of the first overnight hut and the height of the second overnight hut.
Change in height = Height of second overnight hut - Height of first overnight hut
= 400 m - 700 m
= -300 m
Since the change in height is negative, this means the hiker has descended. The potential energy lost by the hiker can be calculated using the formula:
Potential energy lost = mass * gravitational acceleration * change in height
Given:
Mass (m) = 80 kg
Gravitational acceleration (g) = 9.8 m/s²
Change in height (Δh) = -300 m
Potential energy lost = 80 kg * 9.8 m/s² * (-300 m)
= -235,200 J
Therefore, the hiker has lost 235,200 joules (J) of potential energy on the second day. Note that the negative sign indicates a decrease in potential energy due to descending.
To calculate the potential energy lost by the hiker on the second day, we need to determine the change in height or elevation between the two overnight huts.
Given that the hiker started at a height of 700 m above sea level and ended at a height of 400 m above sea level, the change in height can be calculated as follows:
Change in height = ending height - starting height
= 400 m - 700 m
= -300 m
Since the hiker is descending, the change in height is negative (-300 m).
The potential energy of an object is given by the formula:
Potential energy = mass * acceleration due to gravity * height
The acceleration due to gravity is approximately 9.8 m/s^2.
Substituting the given values into the formula, we get:
Potential energy lost = mass * acceleration due to gravity * change in height
= 80 kg * 9.8 m/s^2 * (-300 m)
= -235,200 Joules
Therefore, the hiker lost 235,200 Joules of potential energy on the second day.