High School

A brick of mass 2.3 kg is lifted to a height of 1.9 m. How much gravitational potential energy is added to the brick? The acceleration due to gravity is [tex]$g = 9.8 \, \text{m/s}^2$[/tex].

A. 0.45 J
B. 42.8 J
C. 4.37 J
D. 98.5 J

Answer :

Sure! Let's solve this problem step-by-step:

1. Identify the given values:

- Mass of the brick, [tex]\( m = 2.3 \)[/tex] kg
- Height the brick is lifted, [tex]\( h = 1.9 \)[/tex] m
- Acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex]

2. Recall the formula for gravitational potential energy (GPE):

[tex]\[ \text{GPE} = m \cdot g \cdot h \][/tex]

3. Substitute the given values into the formula:

[tex]\[ \text{GPE} = 2.3 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \cdot 1.9 \, \text{m} \][/tex]

4. Calculate the gravitational potential energy:

[tex]\[ \text{GPE} = 2.3 \times 9.8 \times 1.9 \][/tex]

[tex]\[ \text{GPE} = 42.826 \, \text{J} \][/tex]

Since 42.826 J is very close to 42.8 J when rounded to one decimal place, the correct answer is:

B. 42.8 J