If an object of mass 38 kg has a kinetic energy of 232 j, what is its velocity?

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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**Question:**

If an object of mass 38 kg has a kinetic energy of 232 J, what is its velocity?

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**Solution Explanation:**

To find the velocity of an object when given its mass and kinetic energy, you can use the kinetic energy formula:

\[ KE = \frac{1}{2} m v^2 \]

Where:
- \( KE \) is the kinetic energy (232 J),
- \( m \) is the mass (38 kg),
- \( v \) is the velocity.

Rearrange the formula to solve for velocity \( v \):

\[ v = \sqrt{\frac{2 \times KE}{m}} \]

Substitute the given values:

\[ v = \sqrt{\frac{2 \times 232}{38}} \]

By performing the calculation, you can determine the velocity of the object.
Transcribed Image Text:**Question:** If an object of mass 38 kg has a kinetic energy of 232 J, what is its velocity? --- **Solution Explanation:** To find the velocity of an object when given its mass and kinetic energy, you can use the kinetic energy formula: \[ KE = \frac{1}{2} m v^2 \] Where: - \( KE \) is the kinetic energy (232 J), - \( m \) is the mass (38 kg), - \( v \) is the velocity. Rearrange the formula to solve for velocity \( v \): \[ v = \sqrt{\frac{2 \times KE}{m}} \] Substitute the given values: \[ v = \sqrt{\frac{2 \times 232}{38}} \] By performing the calculation, you can determine the velocity of the object.
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