Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
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])
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.