Answered

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

Sagot :

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.

Explanation:

The mass of the hiker can be calculated by the formula

[tex]\begin{gathered} GPE\text{ =mgh} \\ m\text{ =}\frac{GPE}{gh} \end{gathered}[/tex]

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

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

[tex]\begin{gathered} m\text{ =}\frac{120200}{9.8\times350} \\ =35.044\text{ kg } \end{gathered}[/tex]

Thus, the mass of the hiker is 35.044 kg

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