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Answer :
To calculate the kinetic energy of an object, you can use the formula for kinetic energy:
[tex]\[ \text{Kinetic Energy (KE)} = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \][/tex]
Let's break down the steps:
1. Identify the given values:
- The mass of the object is 93 kg.
- The velocity of the object is 23 m/s.
2. Substitute the values into the kinetic energy formula:
[tex]\[ \text{KE} = \frac{1}{2} \times 93 \times (23)^2 \][/tex]
3. Calculate the square of the velocity:
[tex]\[ 23^2 = 529 \][/tex]
4. Substitute back into the formula:
[tex]\[ \text{KE} = \frac{1}{2} \times 93 \times 529 \][/tex]
5. Multiply the mass by the square of the velocity:
[tex]\[ 93 \times 529 = 49297 \][/tex]
6. Finally, calculate the kinetic energy:
[tex]\[ \text{KE} = \frac{1}{2} \times 49297 = 24598.5 \][/tex]
Therefore, the kinetic energy of the object is 24,598.5 joules.
[tex]\[ \text{Kinetic Energy (KE)} = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \][/tex]
Let's break down the steps:
1. Identify the given values:
- The mass of the object is 93 kg.
- The velocity of the object is 23 m/s.
2. Substitute the values into the kinetic energy formula:
[tex]\[ \text{KE} = \frac{1}{2} \times 93 \times (23)^2 \][/tex]
3. Calculate the square of the velocity:
[tex]\[ 23^2 = 529 \][/tex]
4. Substitute back into the formula:
[tex]\[ \text{KE} = \frac{1}{2} \times 93 \times 529 \][/tex]
5. Multiply the mass by the square of the velocity:
[tex]\[ 93 \times 529 = 49297 \][/tex]
6. Finally, calculate the kinetic energy:
[tex]\[ \text{KE} = \frac{1}{2} \times 49297 = 24598.5 \][/tex]
Therefore, the kinetic energy of the object is 24,598.5 joules.
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