Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
To find the kinetic energy of a ball with a mass of [tex]\( 0.5 \, \text{kg} \)[/tex] and a velocity of [tex]\( 10 \, \text{m/s} \)[/tex], we can use the given formula for kinetic energy:
[tex]\[ KE = \frac{1}{2} m v^2 \][/tex]
Here are the step-by-step details on how to solve it:
1. Identify the given values:
- Mass, [tex]\( m = 0.5 \, \text{kg} \)[/tex]
- Velocity, [tex]\( v = 10 \, \text{m/s} \)[/tex]
2. Plug these values into the kinetic energy formula:
[tex]\[ KE = \frac{1}{2} \times 0.5 \, \text{kg} \times (10 \, \text{m/s})^2 \][/tex]
3. Calculate the velocity squared:
[tex]\[ (10 \, \text{m/s})^2 = 100 \, \text{m}^2/\text{s}^2 \][/tex]
4. Substitute this back into the equation:
[tex]\[ KE = \frac{1}{2} \times 0.5 \, \text{kg} \times 100 \, \text{m}^2/\text{s}^2 \][/tex]
5. Multiply the constants:
[tex]\[ KE = \frac{1}{2} \times 0.5 \times 100 \][/tex]
6. Simplify the multiplication:
[tex]\[ KE = 0.25 \times 100 \][/tex]
7. Calculate the final result:
[tex]\[ KE = 25 \, \text{J} \][/tex]
Thus, the kinetic energy of the ball is [tex]\( 25 \, \text{J} \)[/tex].
So, the correct answer is:
[tex]\[ \boxed{25 \, \text{J}} \][/tex]
[tex]\[ KE = \frac{1}{2} m v^2 \][/tex]
Here are the step-by-step details on how to solve it:
1. Identify the given values:
- Mass, [tex]\( m = 0.5 \, \text{kg} \)[/tex]
- Velocity, [tex]\( v = 10 \, \text{m/s} \)[/tex]
2. Plug these values into the kinetic energy formula:
[tex]\[ KE = \frac{1}{2} \times 0.5 \, \text{kg} \times (10 \, \text{m/s})^2 \][/tex]
3. Calculate the velocity squared:
[tex]\[ (10 \, \text{m/s})^2 = 100 \, \text{m}^2/\text{s}^2 \][/tex]
4. Substitute this back into the equation:
[tex]\[ KE = \frac{1}{2} \times 0.5 \, \text{kg} \times 100 \, \text{m}^2/\text{s}^2 \][/tex]
5. Multiply the constants:
[tex]\[ KE = \frac{1}{2} \times 0.5 \times 100 \][/tex]
6. Simplify the multiplication:
[tex]\[ KE = 0.25 \times 100 \][/tex]
7. Calculate the final result:
[tex]\[ KE = 25 \, \text{J} \][/tex]
Thus, the kinetic energy of the ball is [tex]\( 25 \, \text{J} \)[/tex].
So, the correct answer is:
[tex]\[ \boxed{25 \, \text{J}} \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.