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Answer :
To find the gravitational potential energy added to the brick, we can use the formula for gravitational potential energy (GPE):
[tex]\[ \text{GPE} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the brick,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height to which the brick is lifted.
Given:
- Mass of the brick, [tex]\( m = 2.3 \)[/tex] kg,
- Height, [tex]\( h = 1.9 \)[/tex] meters,
- Acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex].
Plugging these values into the formula, we get:
[tex]\[ \text{GPE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
By performing the multiplication step-by-step:
1. Multiply the mass by the acceleration due to gravity:
[tex]\[ 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 22.54 \, \text{N} \][/tex]
2. Now, multiply the result by the height:
[tex]\[ 22.54 \, \text{N} \times 1.9 \, \text{m} = 42.826 \, \text{J} \][/tex]
So, the gravitational potential energy added to the brick is approximately 42.8 Joules.
Thus, the correct answer is:
C. 42.8 J
[tex]\[ \text{GPE} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the brick,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height to which the brick is lifted.
Given:
- Mass of the brick, [tex]\( m = 2.3 \)[/tex] kg,
- Height, [tex]\( h = 1.9 \)[/tex] meters,
- Acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex].
Plugging these values into the formula, we get:
[tex]\[ \text{GPE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
By performing the multiplication step-by-step:
1. Multiply the mass by the acceleration due to gravity:
[tex]\[ 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 22.54 \, \text{N} \][/tex]
2. Now, multiply the result by the height:
[tex]\[ 22.54 \, \text{N} \times 1.9 \, \text{m} = 42.826 \, \text{J} \][/tex]
So, the gravitational potential energy added to the brick is approximately 42.8 Joules.
Thus, the correct answer is:
C. 42.8 J
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