Answer:
70 kg
Explanation:
Potential energy can be found by a product of mass, height and the acceleration of gravity. Here we're given a potential energy of:
[tex]E_p = 137200 J[/tex]
A height of:
[tex]h = 200 m[/tex]
Acceleration of gravity on Earth:
[tex]g = 9.81 m/s^2[/tex]
According to the potential energy equation, we can express it as:
[tex]E_p = mgh[/tex]
We may rearrange this equation for mass now:
[tex]m = \frac{E_p}{gh}[/tex]
Substituting the given variables:
[tex]m = \frac{137200 J}{9.81 m/s^2\cdot 200 m}[/tex]
[tex]m = 70 kg[/tex]
Therefore, the mass of the skier is 70 kg. Make sure to remember the right units: energy is measured in joules, mass is measured in kilograms, acceleration of gravity is measured in meters per second-squared, height is measured in meters.
