Answer :
To find the gravitational potential energy added to the brick, we use the formula for gravitational potential energy:
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height the object is lifted to.
For this problem:
- The mass [tex]\( m \)[/tex] of the brick is 2.3 kg.
- The acceleration due to gravity [tex]\( g \)[/tex] is 9.8 m/s².
- The height [tex]\( h \)[/tex] is 1.9 m.
Substitute these values into the formula:
[tex]\[ \text{PE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Calculating this gives:
[tex]\[ \text{PE} = 42.828 \, \text{Joules} \][/tex]
Rounded to the nearest tenth, the potential energy is approximately 42.8 Joules.
Therefore, the correct answer is:
A. 42.8 J
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height the object is lifted to.
For this problem:
- The mass [tex]\( m \)[/tex] of the brick is 2.3 kg.
- The acceleration due to gravity [tex]\( g \)[/tex] is 9.8 m/s².
- The height [tex]\( h \)[/tex] is 1.9 m.
Substitute these values into the formula:
[tex]\[ \text{PE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Calculating this gives:
[tex]\[ \text{PE} = 42.828 \, \text{Joules} \][/tex]
Rounded to the nearest tenth, the potential energy is approximately 42.8 Joules.
Therefore, the correct answer is:
A. 42.8 J
