Answer:
2.38 m.
Step-by-step explanation:
The gravitational potential energy lost by Freya is equal to the product of her mass, the acceleration due to gravity (9.8 m/s^2), and the height she falls:
⇒ ΔPE = mgh
where:
- ΔPE is the change in gravitational potential energy
- m is the mass of the object
- g is the acceleration due to gravity
- h is the height
In this case, Freya's mass is 60 kg and the change in gravitational potential energy is 1,470 J. The acceleration due to gravity is 9.8 m/s^2.
Solving for h, we get:
⇒ h = ΔPE / (mg)
⇒ h = 1,470 J / (60 kg x 9.8 m/s^2)
⇒ h = 2.38 meters
Therefore, Freya fell from a height of approximately 2.38 meters before hitting the water.