Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
To determine the work required to raise a 10 kg object from the surface of the Earth to a height of 2.0 meters, we use the formula for gravitational potential energy:
[tex]\[ W = m \cdot g \cdot h \][/tex]
where:
- [tex]\( W \)[/tex] is the work done (in joules, J)
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg)
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared, m/s²)
- [tex]\( h \)[/tex] is the height (in meters, m)
Given:
- [tex]\( m = 10 \)[/tex] kg
- [tex]\( g = 9.8 \)[/tex] m/s² (acceleration due to gravity on the surface of the Earth)
- [tex]\( h = 2.0 \)[/tex] m
Substitute the given values into the formula:
[tex]\[ W = 10 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 2.0 \, \text{m} \][/tex]
[tex]\[ W = 196.0 \, \text{J} \][/tex]
The work required to raise the 10 kg object to a height of 2.0 meters is 196.0 joules. Therefore, the correct answer, considering the options provided is:
- 2.0 E2 J
(Notice: E2 represents the scientific notation for hundreds, which means [tex]\(2.0 \times 10^2\)[/tex])
[tex]\[ W = m \cdot g \cdot h \][/tex]
where:
- [tex]\( W \)[/tex] is the work done (in joules, J)
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg)
- [tex]\( g \)[/tex] is the acceleration due to gravity (in meters per second squared, m/s²)
- [tex]\( h \)[/tex] is the height (in meters, m)
Given:
- [tex]\( m = 10 \)[/tex] kg
- [tex]\( g = 9.8 \)[/tex] m/s² (acceleration due to gravity on the surface of the Earth)
- [tex]\( h = 2.0 \)[/tex] m
Substitute the given values into the formula:
[tex]\[ W = 10 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 2.0 \, \text{m} \][/tex]
[tex]\[ W = 196.0 \, \text{J} \][/tex]
The work required to raise the 10 kg object to a height of 2.0 meters is 196.0 joules. Therefore, the correct answer, considering the options provided is:
- 2.0 E2 J
(Notice: E2 represents the scientific notation for hundreds, which means [tex]\(2.0 \times 10^2\)[/tex])
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.