Question

1. a 75.1 kg skier loses 50% of their potential energy by the time they reach the midway point on the ski slope, which is 2.025 m high. how much energy did the skier lose?

options:
1,575,693 j
1,0125 j
588 j
787,846.5 j

Explanation:

Step1: Calculate initial potential energy

The formula for gravitational potential energy is $PE = mgh$, where $m=79.4\ \text{kg}$, $g=9.8\ \text{m/s}^2$, $h=2025\ \text{m}$.
$PE = 79.4 \times 9.8 \times 2025 = 1,575,693\ \text{J}$

Step2: Find 50% of initial PE

Energy lost is 50% of total potential energy.
$\text{Energy Lost} = \frac{50}{100} \times 1,575,693 = 787,846.5\ \text{J}$

Answer:

787,846.5 J