Answer :
To find the gravitational potential energy added to the brick, we need to use the formula for gravitational potential energy (GPE):
[tex]\[ \text{GPE} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Here's how you can calculate it step-by-step:
1. Identify the given values:
- Mass of the brick ([tex]\(m\)[/tex]) = 2.3 kg
- Height ([tex]\(h\)[/tex]) = 1.9 m
- Acceleration due to gravity ([tex]\(g\)[/tex]) = 9.8 m/s²
2. Plug the values into the formula:
[tex]\[ \text{GPE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
3. Calculate the GPE:
- First, multiply the mass (2.3 kg) by the acceleration due to gravity (9.8 m/s²):
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
- Next, take the result from above and multiply it by the height (1.9 m):
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
4. Result:
- The gravitational potential energy added to the brick is approximately 42.8 Joules.
Looking at the given options, the best match for our calculated gravitational potential energy is:
A. 42.8 J
[tex]\[ \text{GPE} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Here's how you can calculate it step-by-step:
1. Identify the given values:
- Mass of the brick ([tex]\(m\)[/tex]) = 2.3 kg
- Height ([tex]\(h\)[/tex]) = 1.9 m
- Acceleration due to gravity ([tex]\(g\)[/tex]) = 9.8 m/s²
2. Plug the values into the formula:
[tex]\[ \text{GPE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
3. Calculate the GPE:
- First, multiply the mass (2.3 kg) by the acceleration due to gravity (9.8 m/s²):
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
- Next, take the result from above and multiply it by the height (1.9 m):
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
4. Result:
- The gravitational potential energy added to the brick is approximately 42.8 Joules.
Looking at the given options, the best match for our calculated gravitational potential energy is:
A. 42.8 J
