Gravitational Potential Energy worksheet with problems and space for solutions.

Okay, let's solve these problems step by step.

First, we need to understand the formula for Gravitational Potential Energy (GPE):
GPE = mgh
Where:
m = mass (in kilograms, kg)
g = acceleration due to gravity (9.8 m/s² on Earth)
h = height (in meters, m)

Now, let's solve each problem:

1. GPE of a chandelier:
m = 5.5 kg
h = 3 m
g = 9.8 m/s²

GPE = 5.5 × 9.8 × 3
GPE = 161.7 J

2. GPE of a jar:
m = 0.25 kg
h = 0.91 m
g = 9.8 m/s²

GPE = 0.25 × 9.8 × 0.91
GPE = 2.2295 J (round to 2.23 J)

3. Height of a football:
GPE = 37.1 J
m = 0.42 kg
g = 9.8 m/s²

We need to solve for h:
37.1 = 0.42 × 9.8 × h
37.1 = 4.116 × h
h = 37.1 ÷ 4.116
h ≈ 9.01 m

4. Mass of a rock climber:
GPE = 58,800 J
h = 100 m
g = 9.8 m/s²

We need to solve for m:
58,800 = m × 9.8 × 100
58,800 = m × 980
m = 58,800 ÷ 980
m = 60 kg

Final Answer:
1. 161.7 J
2. 2.23 J
3. 9.01 m
4. 60 kg