To determine the work required to raise a 10 kg object from the surface of the Earth to a height of 2.0 meters, we use the formula for gravitational potential energy:
[tex]\[ W = m \cdot g \cdot h \][/tex]
where:
- [tex]\( W \)[/tex] is the work done (in joules, J)
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg)
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared, m/s²)
- [tex]\( h \)[/tex] is the height (in meters, m)
Given:
- [tex]\( m = 10 \)[/tex] kg
- [tex]\( g = 9.8 \)[/tex] m/s² (acceleration due to gravity on the surface of the Earth)
- [tex]\( h = 2.0 \)[/tex] m
Substitute the given values into the formula:
[tex]\[ W = 10 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 2.0 \, \text{m} \][/tex]
[tex]\[ W = 196.0 \, \text{J} \][/tex]
The work required to raise the 10 kg object to a height of 2.0 meters is 196.0 joules. Therefore, the correct answer, considering the options provided is:
- 2.0 E2 J
(Notice: E2 represents the scientific notation for hundreds, which means [tex]\(2.0 \times 10^2\)[/tex])
