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Answer :
To find the mass of the skier, we need to use the formula for potential energy:
[tex]\[ \text{Potential Energy (PE)} = \text{mass (m)} \times \text{gravitational acceleration (g)} \times \text{height (h)} \][/tex]
We know:
- Potential Energy (PE) = 137,200 Joules
- Height (h) = 200 meters
- Gravitational acceleration (g) = 9.81 m/s²
We're looking for the mass (m).
Let's rearrange the equation to solve for mass (m):
[tex]\[ m = \frac{\text{PE}}{g \times h} \][/tex]
Substitute the known values into the equation:
[tex]\[ m = \frac{137,200}{9.81 \times 200} \][/tex]
When you do the calculation, you find:
[tex]\[ m \approx 69.93 \, \text{kg} \][/tex]
Rounding to the nearest whole number, the mass of the skier is approximately 70 kg.
So, the correct answer is 70 kg.
[tex]\[ \text{Potential Energy (PE)} = \text{mass (m)} \times \text{gravitational acceleration (g)} \times \text{height (h)} \][/tex]
We know:
- Potential Energy (PE) = 137,200 Joules
- Height (h) = 200 meters
- Gravitational acceleration (g) = 9.81 m/s²
We're looking for the mass (m).
Let's rearrange the equation to solve for mass (m):
[tex]\[ m = \frac{\text{PE}}{g \times h} \][/tex]
Substitute the known values into the equation:
[tex]\[ m = \frac{137,200}{9.81 \times 200} \][/tex]
When you do the calculation, you find:
[tex]\[ m \approx 69.93 \, \text{kg} \][/tex]
Rounding to the nearest whole number, the mass of the skier is approximately 70 kg.
So, the correct answer is 70 kg.
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