Question

What is the mass of a hiker 350m above the ground if her GPE is 120,200 J?

Answer 1

Given:

The height from the ground is h = 350 m

The gravitational potential energy is GPE = 120,200 J

To find the mass of the hiker.

Step-by-step explanation:

The mass of the hiker can be calculated by the formula

`\begin{gathered} GPE\text{ =mgh} \\ m\text{ =}(GPE)/(gh) \end{gathered}`

Here, g =9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the mass of the hiker will be

`\begin{gathered} m\text{ =}(120200)/(9.8*350) \\ =35.044\text{ kg } \end{gathered}`

Thus, the mass of the hiker is 35.044 kg