Answer :
Certainly! To find the kinetic energy of an object, you can use the kinetic energy formula:
[tex]\[ \text{Kinetic Energy} (KE) = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \][/tex]
Let's break it down step by step:
1. Define the Variables:
- The mass of the object is given as 10 kg.
- The velocity of the object is 7 m/s.
2. Substitute the Values into the Formula:
- Plug in the mass (10 kg) and the velocity (7 m/s) into the kinetic energy formula:
[tex]\[
KE = 0.5 \times 10 \times (7^2)
\][/tex]
3. Calculate the Velocity Squared:
- First, calculate [tex]\( 7^2 \)[/tex], which is 49.
4. Evaluate the Expression:
- Now compute the kinetic energy:
[tex]\[
KE = 0.5 \times 10 \times 49
\][/tex]
5. Finalize the Calculation:
- Multiply 0.5 by 10, which results in 5.
- Finally, multiply 5 by 49 to get 245.
Thus, the kinetic energy of the object is [tex]\( \text{245 J} \)[/tex].
Therefore, the correct answer is 245 J.
[tex]\[ \text{Kinetic Energy} (KE) = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \][/tex]
Let's break it down step by step:
1. Define the Variables:
- The mass of the object is given as 10 kg.
- The velocity of the object is 7 m/s.
2. Substitute the Values into the Formula:
- Plug in the mass (10 kg) and the velocity (7 m/s) into the kinetic energy formula:
[tex]\[
KE = 0.5 \times 10 \times (7^2)
\][/tex]
3. Calculate the Velocity Squared:
- First, calculate [tex]\( 7^2 \)[/tex], which is 49.
4. Evaluate the Expression:
- Now compute the kinetic energy:
[tex]\[
KE = 0.5 \times 10 \times 49
\][/tex]
5. Finalize the Calculation:
- Multiply 0.5 by 10, which results in 5.
- Finally, multiply 5 by 49 to get 245.
Thus, the kinetic energy of the object is [tex]\( \text{245 J} \)[/tex].
Therefore, the correct answer is 245 J.
