IDNLearn.com makes it easy to get reliable answers from knowledgeable individuals. Our platform is designed to provide accurate and comprehensive answers to any questions you may have.
Sagot :
To solve for the gravitational potential energy added to a brick when it is lifted to a certain height, we use the formula for gravitational potential energy:
[tex]\[ U = mgh \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the brick,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height to which the brick is lifted.
Given:
- Mass of the brick, [tex]\( m = 2.3 \)[/tex] kg,
- Height, [tex]\( h = 1.9 \)[/tex] m,
- Acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex].
Now, substituting the given values into the formula:
[tex]\[ U = (2.3 \text{ kg}) \times (9.8 \text{ m/s}^2) \times (1.9 \text{ m}) \][/tex]
First, multiply the mass and gravity:
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
Next, multiply the result by the height:
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
Thus, the gravitational potential energy added to the brick when it is lifted to a height of 1.9 meters is:
[tex]\[ U \approx 42.8 \text{ J} \][/tex]
Therefore, the correct answer is:
B. [tex]\( 42.8 \text{ J} \)[/tex]
[tex]\[ U = mgh \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the brick,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height to which the brick is lifted.
Given:
- Mass of the brick, [tex]\( m = 2.3 \)[/tex] kg,
- Height, [tex]\( h = 1.9 \)[/tex] m,
- Acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex].
Now, substituting the given values into the formula:
[tex]\[ U = (2.3 \text{ kg}) \times (9.8 \text{ m/s}^2) \times (1.9 \text{ m}) \][/tex]
First, multiply the mass and gravity:
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
Next, multiply the result by the height:
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
Thus, the gravitational potential energy added to the brick when it is lifted to a height of 1.9 meters is:
[tex]\[ U \approx 42.8 \text{ J} \][/tex]
Therefore, the correct answer is:
B. [tex]\( 42.8 \text{ J} \)[/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.