Certainly! Let's solve the problem step-by-step.
Given:
- The mass of the wheel, [tex]\( m = 38 \)[/tex] kg
- The height to which the wheel is lifted, [tex]\( h = 0.8 \)[/tex] m
- The acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex]
We need to find the gravitational potential energy (GPE) added to the wheel.
The formula for gravitational potential energy is:
[tex]\[ \text{GPE} = m \times g \times h \][/tex]
Substitute the given values into the formula:
[tex]\[ \text{GPE} = 38 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 0.8 \, \text{m} \][/tex]
After performing the multiplication:
[tex]\[ \text{GPE} = 297.92 \, \text{J} \][/tex]
So, the gravitational potential energy added to the wheel is [tex]\( 297.92 \)[/tex] J.
Hence, the correct answer is:
A. [tex]\( 297.9 \)[/tex] J
