Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To determine the gravitational potential energy (GPE) added to a brick of mass 2.3 kg that has been lifted to a height of 1.9 meters, we will follow these steps:
1. Identify the given values:
- Mass ([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. Understand the formula:
The formula to calculate gravitational potential energy is:
[tex]\[ GPE = m \cdot g \cdot h \][/tex]
Where:
- [tex]\(m\)[/tex] is the mass
- [tex]\(g\)[/tex] is the acceleration due to gravity
- [tex]\(h\)[/tex] is the height
3. Substitute the given values into the formula:
[tex]\[ GPE = 2.3 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \cdot 1.9 \, \text{m} \][/tex]
4. Calculate the product:
[tex]\[ GPE = 2.3 \cdot 9.8 \cdot 1.9 \][/tex]
Performing the multiplication step-by-step, we get:
[tex]\[ 2.3 \cdot 9.8 = 22.54 \\ 22.54 \cdot 1.9 = 42.82599999999999 \][/tex]
5. Round the result to a sensible number of significant figures:
The more practical value considering significant figures is approximately:
[tex]\[ GPE \approx 42.8 \, \text{J} \][/tex]
6. Compare with the given options:
The closest value to our computed GPE is option B.
Therefore, the gravitational potential energy added to the brick is 42.8 J.
1. Identify the given values:
- Mass ([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. Understand the formula:
The formula to calculate gravitational potential energy is:
[tex]\[ GPE = m \cdot g \cdot h \][/tex]
Where:
- [tex]\(m\)[/tex] is the mass
- [tex]\(g\)[/tex] is the acceleration due to gravity
- [tex]\(h\)[/tex] is the height
3. Substitute the given values into the formula:
[tex]\[ GPE = 2.3 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \cdot 1.9 \, \text{m} \][/tex]
4. Calculate the product:
[tex]\[ GPE = 2.3 \cdot 9.8 \cdot 1.9 \][/tex]
Performing the multiplication step-by-step, we get:
[tex]\[ 2.3 \cdot 9.8 = 22.54 \\ 22.54 \cdot 1.9 = 42.82599999999999 \][/tex]
5. Round the result to a sensible number of significant figures:
The more practical value considering significant figures is approximately:
[tex]\[ GPE \approx 42.8 \, \text{J} \][/tex]
6. Compare with the given options:
The closest value to our computed GPE is option B.
Therefore, the gravitational potential energy added to the brick is 42.8 J.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.