an object who's mass 5.20kg has a gravitational potential energy of 10.3kj. how high above the ground is the object?
p.e. = m * g * h
10.3 kj = 5.20 kg * 9.8 m/s^2 * h
10.3 k / (5.2 * 9.8) = h (in meters)
4.947m
To determine the height above the ground, we need to use the formula for gravitational potential energy:
Gravitational Potential Energy (GPE) = mass * gravitational acceleration * height
Given:
Mass (m) = 5.20 kg
Gravitational Potential Energy (GPE) = 10.3 kJ (which needs to be converted to joules)
First, we need to convert 10.3 kJ to joules. Since 1 kJ = 1000 J, 10.3 kJ = 10.3 * 1000 J = 10,300 J.
Now, let's rearrange the formula to solve for height (h):
Height (h) = GPE / (mass * gravitational acceleration)
Substitute the values into the formula:
h = 10,300 J / (5.20 kg * gravitational acceleration)
The standard value for gravitational acceleration on Earth is approximately 9.8 m/s².
h = 10,300 J / (5.20 kg * 9.8 m/s²)
Now let's calculate the height:
h = 10,300 J / (50.96 kg·m/s²)
h ≈ 202 meters
Therefore, the object is approximately 202 meters above the ground.