An owl has a mass of 3 kg. It dives to catch a mouse on the ground losing 900 J of potential energy. How high was the bird to begin with?

Explanation

To solve the problem, we need to determine the height from which the owl dives based on the potential energy it loses during the dive. Here’s the step-by-step solution:

### Step 1: Understand the relationship between potential energy and height
The potential energy (PE) lost by the owl when it dives can be calculated using the formula:
\[ \text{PE} = mgh \]
where:
- \( m \) = mass of the owl (in kg)
- \( g \) = acceleration due to gravity (approximately \( 10 \, \text{m/s}^2 \))
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