Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
To determine how much gravitational potential energy is added to a wheel of mass [tex]\(38 \, \text{kg}\)[/tex] when it is lifted to a height of [tex]\(0.8 \, \text{m}\)[/tex], we use the formula for gravitational potential energy (GPE):
[tex]\[ \text{GPE} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared),
- [tex]\( h \)[/tex] is the height to which the object is lifted (in meters).
Given:
- [tex]\( m = 38 \, \text{kg} \)[/tex]
- [tex]\( h = 0.8 \, \text{m} \)[/tex]
- [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex]
Plugging in these values into the formula:
[tex]\[ \text{GPE} = 38 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 0.8 \, \text{m} \][/tex]
Calculating this product:
[tex]\[ \text{GPE} = 38 \times 9.8 \times 0.8 \][/tex]
The result is:
[tex]\[ \text{GPE} = 297.92 \, \text{J} \][/tex]
So, the gravitational potential energy added to the wheel is [tex]\(297.92 \, \text{J}\)[/tex]. Therefore, the correct answer is:
A. [tex]\(297.9 \, \text{J}\)[/tex]
[tex]\[ \text{GPE} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared),
- [tex]\( h \)[/tex] is the height to which the object is lifted (in meters).
Given:
- [tex]\( m = 38 \, \text{kg} \)[/tex]
- [tex]\( h = 0.8 \, \text{m} \)[/tex]
- [tex]\( g = 9.8 \, \text{m/s}^2 \)[/tex]
Plugging in these values into the formula:
[tex]\[ \text{GPE} = 38 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 0.8 \, \text{m} \][/tex]
Calculating this product:
[tex]\[ \text{GPE} = 38 \times 9.8 \times 0.8 \][/tex]
The result is:
[tex]\[ \text{GPE} = 297.92 \, \text{J} \][/tex]
So, the gravitational potential energy added to the wheel is [tex]\(297.92 \, \text{J}\)[/tex]. Therefore, the correct answer is:
A. [tex]\(297.9 \, \text{J}\)[/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.