Question

Девочка поднялась по лестнице с высоты 2м на высоту 6м. Во сколько раз изменилась потенциальная энергия девочки?

Answer 1

W=mgh

 

W=mg2

W=mg6

потенциальная энергия увеличится в 3 раза

Answer 2

Calculating Change in Potential Energy

To calculate the change in potential energy as the girl climbs from a height of 2m to 6m, we can use the formula for potential energy:

Potential Energy (PE) = mass × acceleration due to gravity × height

The change in potential energy can be calculated by finding the difference in potential energy at the initial and final heights.

Initial Potential Energy

At a height of 2m, the initial potential energy can be calculated using the given height and the acceleration due to gravity.

PE_initial = m × g × h_initial,

where: - m = mass (assumed to be constant) - g = acceleration due to gravity (approximately 9.81 m/s^2) - h_initial = initial height (2m)

Final Potential Energy

At a height of 6m, the final potential energy can be calculated using the given height and the acceleration due to gravity.

PE_final = m × g × h_final,

where: - h_final = final height (6m)

Change in Potential Energy

The change in potential energy can be calculated as the difference between the final and initial potential energies.

Change in Potential Energy = PE_final - PE_initial

Let's calculate the change in potential energy using the provided information.

Calculation

Given: - Initial height (h_initial) = 2m - Final height (h_final) = 6m - Acceleration due to gravity (g) ≈ 9.81 m/s^2

Using the above information, we can calculate the change in potential energy.